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94 pages, 33281 KB  
Review
Higgs Sector Prospects at Future Particle Colliders in Europe
by Aleandro Nisati
Symmetry 2026, 18(6), 1045; https://doi.org/10.3390/sym18061045 (registering DOI) - 17 Jun 2026
Viewed by 159
Abstract
The discovery of the Higgs boson in 2012 at the Large Hadron Collider marked a major milestone in our understanding of electroweak symmetry breaking. Since then, increasingly precise measurements by the ATLAS and CMS Collaborations, based primarily on proton–proton collision data at [...] Read more.
The discovery of the Higgs boson in 2012 at the Large Hadron Collider marked a major milestone in our understanding of electroweak symmetry breaking. Since then, increasingly precise measurements by the ATLAS and CMS Collaborations, based primarily on proton–proton collision data at s=13TeV corresponding to about 140fb1 per experiment, have confirmed its compatibility with Standard Model predictions within current uncertainties. The Higgs boson mass is now measured with a precision of about 0.08%, while its couplings to fermions and bosons are determined at the 7–20% level. The completion of the LHC programme and the High-Luminosity LHC, will probe Higgs boson couplings at the few-percent level. However, sub-percent precision is required for stringent tests of the Standard Model, as any deviation would signal new physics beyond it. This strongly motivates future collider facilities, designed both as high-precision Higgs factories and, in many cases, as energy-frontier machines. Within the framework of the update of the European Strategy for Particle Physics, we discuss the physics case and main characteristics of the proposed particle collider options, highlighting their complementarity, technological challenges, and expected performance. The 2026 Strategy Update identifies the FCC-ee collider as the preferred next flagship project at CERN. Operating at the Z pole and at centre-of-mass energies between 240 and 365 GeV, it would enable model-independent, per-mille-level precision on Higgs boson couplings, while providing a pathway to a future high-energy hadron collider. The Higgs sector thus constitutes a central laboratory for precision tests of the Standard Model and for exploring the fundamental structure of our universe. Full article
(This article belongs to the Special Issue Symmetries/Asymmetries in Particle Physics)
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28 pages, 501 KB  
Article
Charged Lepton Masses from the Recognition Composition Law: A Derivation with Zero Continuously Adjustable Dimensionless Parameters
by Jonathan Washburn and Elshad Allahyarov
Symmetry 2026, 18(6), 962; https://doi.org/10.3390/sym18060962 - 2 Jun 2026
Viewed by 176
Abstract
We derive the charged-lepton mass chain from the Recognition Composition Law (RCL) together with normalization, curvature normalization, and standard regularity. Through the theorem chain Tr1–Tr8, these postulates fix the golden ratio φ = 1+5/2, the minimal [...] Read more.
We derive the charged-lepton mass chain from the Recognition Composition Law (RCL) together with normalization, curvature normalization, and standard regularity. Through the theorem chain Tr1–Tr8, these postulates fix the golden ratio φ = 1+5/2, the minimal period Tmin = 8, the selected dimension D = 3, and the cube integers entering the master mass law. The charged-lepton formula is then assembled from the coherence scale, the lepton-sector baseline, the charge correction, and the derived generation steps. All parameters are discrete structural inputs, integers from cube geometry, named symmetry factors, and one external mathematical constant, rather than continuously adjustable dials. The construction is a structural constraint on the effective charged-lepton flavor pattern, not a replacement for the electroweak Higgs mechanism or for the full Standard Model quantum field theory. At the conversion stage to the International System of Units (SI), the electron fixes the single calibration anchor τ0, while the fine-structure constant α enters only as a fixed external dimensionless constant in the refinement layer. The phrase “zero continuously adjustable parameters” refers to the dimensionless content of the framework: the anchor τ0 is a unit-scale calibration fixed by the measured electron mass and cancels identically from every charged-lepton mass ratio. With that one anchor set, the remaining charged leptons become forward predictions: mμ105.5,105.9  MeV and mτ1774,1779 MeV, with relative errors below 0.3% and 0.2%, respectively. Floating-point evaluation gives mμ105.658 MeV and mτ1776.71 MeV. Full article
(This article belongs to the Section Physics)
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10 pages, 672 KB  
Article
Current Status and Prospects of Light Bino–Higgsino Dark Matter in Natural SUSY
by Xintian Wang and Murat Abdughani
Universe 2026, 12(6), 163; https://doi.org/10.3390/universe12060163 - 31 May 2026
Viewed by 249
Abstract
Given recent advancements in dark matter (DM) search experiments, particularly the latest LUX-ZEPLIN (LZ) direct detection (DD) results, we systematically investigate the light bino–higgsino DM scenario within the natural supersymmetric framework. Requiring the electroweak fine-tuning parameter ΔEW<30 fixes the higgsino [...] Read more.
Given recent advancements in dark matter (DM) search experiments, particularly the latest LUX-ZEPLIN (LZ) direct detection (DD) results, we systematically investigate the light bino–higgsino DM scenario within the natural supersymmetric framework. Requiring the electroweak fine-tuning parameter ΔEW<30 fixes the higgsino mass parameter in the range of |μ|[100,350] GeV, while we extend the bino mass to M1[10,350] GeV. Incorporating constraints from Higgs physics, rare B decays, LEP limits, and DD experiments, we find that part of the parameter space remains viable. However, the relic density of neutralino DM necessarily lies below the observed Planck value, contributing at most ∼2% of the total DM abundance. Some of the surviving parameter space is already excluded by current 13 TeV LHC searches, while the future 14 TeV HL-LHC with 3000 fb−1 luminosity will probe the remaining region of the considered parameter space. Full article
(This article belongs to the Section High Energy Nuclear and Particle Physics)
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25 pages, 672 KB  
Article
Induced-Gravity Palatini-like Higgs Inflation in Supergravity Confronts ACT DR6
by Constantinos Pallis
Astronomy 2026, 5(2), 9; https://doi.org/10.3390/astronomy5020009 - 22 May 2026
Viewed by 205
Abstract
We formulate within Supergravity a model of induced-gravity inflation, excellently consistent with ACT DR6, inspired by the Palatini gravity. The inflaton belongs in the decomposition of a conjugate pair of Higgs superfields which lead to the spontaneous breaking of a [...] Read more.
We formulate within Supergravity a model of induced-gravity inflation, excellently consistent with ACT DR6, inspired by the Palatini gravity. The inflaton belongs in the decomposition of a conjugate pair of Higgs superfields which lead to the spontaneous breaking of a U(1)BL symmetry at a scale close to the range (0.145–8.35) × 1016 GeV. The inflaton field is canonically normalized thanks to one real and shift-symmetric contribution into the Kähler potential. It also includes two separate holomorphic and antiholomorphic logarithmic terms, the argument of which can be interpreted as the coupling of the inflaton to the Ricci scalar. The attainment of inflation allows for subplanckian inflaton values and energy scales below the cut-off scale of the corresponding effective theory. Embedding the model in a BL extension of the MSSM we show how the μ parameter can be generated and non-thermal leptogenesis can be successfully realized. An outcome of our scheme is split SUSY with gravitino mass in the range (40–60) PeV, which is consistent with the results of LHC on the Higgs boson mass. Full article
(This article belongs to the Special Issue Current Trends in Cosmology)
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14 pages, 566 KB  
Article
Dark NLO Correction to Dark Photon Production at Lepton Colliders
by Jianming Zheng, Yi Li, Yusi Pan and Mengchao Zhang
Universe 2026, 12(6), 153; https://doi.org/10.3390/universe12060153 - 22 May 2026
Viewed by 194
Abstract
In this work, we calculate the inclusive cross-section for the single dark photon production process in an electron–positron collider up to next-to-leading order (NLO). The dark photon studied in this work is embedded in a more complete dark Abelian Higgs model charged under [...] Read more.
In this work, we calculate the inclusive cross-section for the single dark photon production process in an electron–positron collider up to next-to-leading order (NLO). The dark photon studied in this work is embedded in a more complete dark Abelian Higgs model charged under a spontaneously broken U(1) gauge symmetry. The breaking of U(1) generates the mass of the dark photon. The inclusive cross-section contains σ(e+eγA) and σ(e+eγAs), with A/s being the dark photon/the dark Higgs, respectively. To remove the infrared (IR) divergence that appears at the high energy limit, virtual correction from the dark sector, which is the self-energy of dark photon, is also included. The cancellation of the IR divergences between the real correction and virtual correction makes the final NLO cross-section IR-safe. The phenomenological effect of this NLO correction is also briefly discussed. Full article
(This article belongs to the Special Issue Search for New Physics Through Combined Approaches)
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66 pages, 5999 KB  
Article
Copy-Time Geometry from Gauge-Coded Quantum Cellular Automata: Emergent Gravity and a Golden Relation for Singlet-Scalar Dark Matter
by Mohamed Sacha
Quantum Rep. 2026, 8(2), 33; https://doi.org/10.3390/quantum8020033 - 13 Apr 2026
Viewed by 2181
Abstract
We formulate the Quantum Information Copy Time (QICT) framework for conserved charges under strictly local quantum dynamics and isolate its logically strongest consequence. The theorem-level core is a receiver-optimised variational speed-limit inequality: after projection away from the conserved zero mode, the copy time [...] Read more.
We formulate the Quantum Information Copy Time (QICT) framework for conserved charges under strictly local quantum dynamics and isolate its logically strongest consequence. The theorem-level core is a receiver-optimised variational speed-limit inequality: after projection away from the conserved zero mode, the copy time is bounded from below by the inverse square root of a Liouvillian-squared receiver susceptibility times a local encoding seminorm. This statement is written in a finite-volume operator framework and does not require a diffusive ansatz. We then examine what follows only after additional infrared assumptions. Under a single diffusive slow-mode hypothesis, the variational inequality reduces to the practical scaling relation used in the benchmark computations. That reduction is treated as conditional and is stress-tested numerically rather than promoted by rhetoric. Within the anomaly-free Abelian span relevant for one Standard-Model-like generation, hypercharge selection is elevated to theorem-level status; by contrast, minimal gauge-algebra uniqueness remains explicitly conditional on additional model-selection axioms. The remainder of the manuscript is organised as an explicitly documented closure programme built on top of this core. In that closure, a gauge-coded QCA construction, a microscopic benchmark for the transport normalisation, and an electroweak matching convention are combined to produce a resonance-centred Higgs-portal singlet-scalar mass band together with direct-detection, invisible-width, and relic-consistency checks. These latter results are presented as model-dependent consequences of an explicit closure ansatz rather than as deductions from locality alone. Full article
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49 pages, 676 KB  
Article
Two-Measure Electroweak Standard Model and Its Realization During Cosmological Evolution
by Alexander B. Kaganovich
Symmetry 2026, 18(3), 508; https://doi.org/10.3390/sym18030508 - 16 Mar 2026
Viewed by 332
Abstract
The possibility of realizing Higgs inflation in a model with a small non-minimal coupling constant, which was demonstrated recently, provides grounds for further development of the model. Incorporating the electroweak SM into the Two-Measure theory (TMT) in a way that fully accounts for [...] Read more.
The possibility of realizing Higgs inflation in a model with a small non-minimal coupling constant, which was demonstrated recently, provides grounds for further development of the model. Incorporating the electroweak SM into the Two-Measure theory (TMT) in a way that fully accounts for the TMT structure leads to a theory we call the Two-Measure Standard Model (TMSM). The TMSM is realized in the context of cosmology as a set of cosmologically modified copies of the Glashow–Weinberg–Salam (GWS) theory, such that each of the copies exists as a local quantum field theory defined on the classical cosmological background at the appropriate stage of its evolution. This basic idea is studied in detail for two stages of the cosmological background evolution: for slow-roll inflation and for the stage of approaching the vacuum. Mainly due to the presence of the ratio of two volume measures in all equations of motion, all TMSM coupling constants turn into a kind of “running” (classical) TMT-effective parameters. During the evolution of the cosmological background, changing these parameters yields new results: (1) the classical “running” TMT-effective Higgs self-coupling parameter increases from λ1011 (which provides Higgs inflation consistent with the Planck CMB data at ξ=16) to λ0.1 at the stage close to the vacuum; (2) the mass term in the TMT-effective Higgs potential changes sign from positive to negative, which provides SSB in the standard way of GWS theory; (3) the classical “running” parameters of the gauge and Yukawa couplings change by several orders of magnitude; (4) the GWS theory is reproduced when the Yukawa constant in the original action is chosen to be universal for three generations of fermions. We show that, due to these classical-level results, taking into account quantum corrections in the one-loop approximation preserves the slow-roll inflation regime and does not violate the vacuum stability during inflation. Full article
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28 pages, 438 KB  
Article
Holographic Naturalness and Information See-Saw Mechanism for Neutrinos
by Andrea Addazi and Giuseppe Meluccio
Particles 2026, 9(1), 11; https://doi.org/10.3390/particles9010011 - 2 Feb 2026
Viewed by 949
Abstract
The microscopic origin of the de Sitter entropy remains a central puzzle in quantum gravity that is related to the cosmological constant problem. Within the paradigm of Holographic Naturalness, we propose that this entropy is carried by a vast number of [...] Read more.
The microscopic origin of the de Sitter entropy remains a central puzzle in quantum gravity that is related to the cosmological constant problem. Within the paradigm of Holographic Naturalness, we propose that this entropy is carried by a vast number of light, coherent degrees of freedom—called “hairons”—which emerge as the moduli of gravitational instantons on orbifolds. Starting from the Euclidean de Sitter instanton (S4), we construct a new class of orbifold gravitational instantons, S4/ZN, where N corresponds to the de Sitter entropy. We demonstrate that the dimension of the moduli space of these instantons scales linearly with N, and we identify these moduli with the hairon fields. A ZN symmetry, derived from Wilson loops in the instanton background, ensures the distinguishability of these modes, leading to the correct entropy count. The hairons acquire a mass of the order of the Hubble scale and exhibit negligible mutual interactions, suggesting that the de Sitter vacuum is a coherent state, or Bose–Einstein condensate, of these fundamental excitations. Then, we present a novel framework which unifies neutrino mass generation with the cosmological constant through gravitational topology and holography. The small neutrino mass scale emerges naturally from first principles, without requiring new physics beyond the Standard Model and Gravity. The gravitational Chern–Simons structure and its anomaly with neutrinos force a topological Higgs mechanism, leading to neutrino condensation via S4/ZN gravitational instantons. The number of topological degrees of freedom NMP2/Λ10120 provides both the holographic counting of the de Sitter entropy and a 1/Ninformation see-saw mechanism for neutrino masses. Our framework makes the following predictions: (i) a neutrino superfluid condensation forming Cooper pairs below meV energies, as a viable candidate for cold dark matter; (ii) a possible resolution of the strong CP problem through a QCD composite axion state; (iii) time-varying neutrino masses which track the evolution of dark energy; and (iv) several distinctive signatures in astroparticle physics, ultra-high-energy cosmic rays and high magnetic field experiments. Full article
17 pages, 7025 KB  
Review
Dark Sector Searches at e+e Colliders
by Vindhyawasini Prasad
Universe 2026, 12(1), 20; https://doi.org/10.3390/universe12010020 - 12 Jan 2026
Viewed by 830
Abstract
The Standard Model (SM) of particle physics is one of the most successful frameworks in modern physics, yet it leaves several fundamental questions unanswered, including the nature of dark matter (DM). Precise knowledge of DM is crucial for testing astrophysical and cosmological observations [...] Read more.
The Standard Model (SM) of particle physics is one of the most successful frameworks in modern physics, yet it leaves several fundamental questions unanswered, including the nature of dark matter (DM). Precise knowledge of DM is crucial for testing astrophysical and cosmological observations and for determining the matter density of our Universe. Many hidden dark sector models beyond the SM open the possibility of coupling between DM and SM particles via various portals. The corresponding new physics particles include light Higgs bosons, dark photons, axion-like particle, and spin-1/2 fermions. Furthermore, the introduction of a dark baryon could simultaneously explain the origin of DM and the observed matter–antimatter asymmetry in the Universe. If these hypothetical particles have masses of a few GeV, they can be explored at high-intensity e+e colliders, such as in the BaBar, Belle/Belle II, and BESIII experiments. This report reviews the current status of DM searches at e+e colliders, with a focus on portal-based scenarios. Full article
(This article belongs to the Special Issue Modified Gravity and Dark Energy Theories)
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21 pages, 561 KB  
Review
Holographic Naturalness and Pre-Geometric Gravity
by Andrea Addazi, Salvatore Capozziello and Giuseppe Meluccio
Physics 2026, 8(1), 2; https://doi.org/10.3390/physics8010002 - 29 Dec 2025
Viewed by 1424
Abstract
The cosmological constant (CC, Λ) problem stands as one of the most profound puzzles in the theory of gravity, representing a remarkable discrepancy of about 120 orders of magnitude between the observed value of dark energy and its natural expectation from quantum [...] Read more.
The cosmological constant (CC, Λ) problem stands as one of the most profound puzzles in the theory of gravity, representing a remarkable discrepancy of about 120 orders of magnitude between the observed value of dark energy and its natural expectation from quantum field theory. This paper synthesizes two innovative paradigms—holographic naturalness (HN) and pre-geometric gravity (PGG)—to propose a unified and natural resolution to the problem. The HN framework posits that the stability of the CC is not a matter of radiative corrections but rather of quantum information and entropy. The large entropy SdSMP2/Λ of the de Sitter (dS) vacuum (with MP being the Planck mass) acts as an entropic barrier, exponentially suppressing any quantum transitions that would otherwise destabilize the vacuum. This explains why the universe remains in a state with high entropy and relatively low CC. We then embed this principle within a pre-geometric theory of gravity, where the spacetime geometry and the Einstein–Hilbert action are not fundamental, but emerge dynamically from the spontaneous symmetry breaking of a larger gauge group, SO(1,4)→SO(1,3), driven by a Higgs-like field ϕA. In this mechanism, both MP and Λ are generated from more fundamental parameters. Crucially, we establish a direct correspondence between the vacuum expectation value (VEV) v of the pre-geometric Higgs field and the de Sitter entropy: SdSv (or v3). Thus, the field responsible for generating spacetime itself also encodes its information content. The smallness of Λ is therefore a direct consequence of the largeness of the entropy SdS, which is itself a manifestation of a large Higgs VEV v. The CC is stable for the same reason a large-entropy state is stable: the decay of such state is exponentially suppressed. Our study shows that new semi-classical quantum gravity effects dynamically generate particles we call “hairons”, whose mass is tied to the CC. These particles interact with Standard Model matter and can form a cold condensate. The instability of the dS space, driven by the time evolution of a quantum condensate, points at a dynamical origin for dark energy. This paper provides a comprehensive framework where the emergence of geometry, the hierarchy of scales and the quantum-information structure of spacetime are inextricably linked, thereby providing a novel and compelling path toward solving the CC problem. Full article
(This article belongs to the Special Issue Beyond the Standard Models of Physics and Cosmology: 2nd Edition)
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35 pages, 1898 KB  
Review
Three Decades of FCNC Studies in 3-3-1 Model with Right-Handed Neutrinos: From Z′-Dominance to the Alignment Limit
by Patricio Escalona, João Paulo Pinheiro, Vinícius Oliveira, Adriano Doff and Carlos Antonio De Sousa Pires
Universe 2025, 11(12), 396; https://doi.org/10.3390/universe11120396 - 3 Dec 2025
Cited by 1 | Viewed by 492
Abstract
Flavor-changing neutral current (FCNC) processes play a prominent role in the search for physics beyond the Standard Model (SM) due to their sensitivity to new physics at the TeV scale. Meson–antimeson transitions and rare meson decays provide stringent constraints on new physics through [...] Read more.
Flavor-changing neutral current (FCNC) processes play a prominent role in the search for physics beyond the Standard Model (SM) due to their sensitivity to new physics at the TeV scale. Meson–antimeson transitions and rare meson decays provide stringent constraints on new physics through precision measurements of observables such as mass differences, CP asymmetries, and branching ratios. Extensions of the SM based on the SU(3)C×SU(3)L×U(1)N gauge group offer a compelling framework for flavor physics, as FCNC processes emerge inexorably at tree level due to the non-universal transformations of the quark families. Among its various realizations, the version incorporating right-handed neutrinos (331RHNs) is the most phenomenologically viable. This review synthesizes three decades of theoretical developments in FCNC phenomenology within the 331RHN model, from early Z-dominated studies to the recent recognition of the decisive role played by the SM-like Higgs boson and the identification of the alignment limit. We demonstrate that viable parameter space spans orders of magnitude—from mZ a few hundred GeV to ∼100 TeV—depending critically on quark mixing parameterizations and scalar alignment configurations, with significant implications for experimental searches at current and future colliders. Full article
(This article belongs to the Section High Energy Nuclear and Particle Physics)
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6 pages, 1598 KB  
Article
Non-Resonant Di-Higgs Searches at the Large Hadron Collider with the CMS Experiment
by Simona Palluotto
Particles 2025, 8(1), 31; https://doi.org/10.3390/particles8010031 - 6 Mar 2025
Viewed by 1804
Abstract
Investigating the production of Higgs boson pairs (HH) at the LHC provides critical insights into the self-interaction properties of the Higgs boson, representing an essential verification of the Standard Model and contributing to our understanding of the Higgs boson properties. This work highlights [...] Read more.
Investigating the production of Higgs boson pairs (HH) at the LHC provides critical insights into the self-interaction properties of the Higgs boson, representing an essential verification of the Standard Model and contributing to our understanding of the Higgs boson properties. This work highlights the latest findings from the CMS collaboration on HH production measurements. These searches include different final states and integrate data collected by the CMS experiment at a center-of-mass energy of 13 TeV. Full article
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14 pages, 3424 KB  
Article
Nonholomorphic Higgsino Mass Term Effects on Muon g − 2 and Dark Matter Relic Density in Flavor Symmetry-Based Minimal Supersymmetric Standard Model
by Sajid Israr, Mario E. Gómez and Muhammad Rehman
Particles 2025, 8(1), 30; https://doi.org/10.3390/particles8010030 - 6 Mar 2025
Cited by 3 | Viewed by 2275
Abstract
We investigate the phenomenological effects of the nonholomorphic (NH) higgsino mass term, μ, within the minimal supersymmetric standard model (MSSM) extended by a non-abelian flavor symmetry, referred to as the sNHSSM. This flavor symmetry enables a substantial reduction in the number [...] Read more.
We investigate the phenomenological effects of the nonholomorphic (NH) higgsino mass term, μ, within the minimal supersymmetric standard model (MSSM) extended by a non-abelian flavor symmetry, referred to as the sNHSSM. This flavor symmetry enables a substantial reduction in the number of free parameters inherent to the MSSM, streamlining them from a large set to just eight. Our study explores the interplay between cold dark matter (CDM) relic density (ΩCDMh2) and the anomalous magnetic moment of the muon, (g2)μ. We study correlations among the theoretical parameters that emerge from this interplay and are further constrained by experimental data such as the Higgs boson mass, B-physics observables, and the charge and color breaking minima constraints. Moreover, our findings reveal that incorporating the NH higgsino mass term opens up new regions of parameter space that were previously inaccessible. Full article
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10 pages, 846 KB  
Article
Higgs Physics at the Muon Collider
by Luca Castelli
Particles 2025, 8(1), 28; https://doi.org/10.3390/particles8010028 - 5 Mar 2025
Cited by 1 | Viewed by 2072
Abstract
A multi-TeV muon collider produces a significant amount of Higgs bosons allowing for precise measurements of its couplings to Standard Model fundamental particles. Moreover, Higgs boson pairs are produced with a relevant cross-section, allowing for the determination of the second term of the [...] Read more.
A multi-TeV muon collider produces a significant amount of Higgs bosons allowing for precise measurements of its couplings to Standard Model fundamental particles. Moreover, Higgs boson pairs are produced with a relevant cross-section, allowing for the determination of the second term of the Higgs potential by measuring the double Higgs production cross-section and therefore the trilinear self-coupling term. This contribution aims to give an overview of the Higgs measurement accuracies expected for the initial stage of the muon collider at s=3TeV with an integrated luminosity of 1ab1 and for the target center-of-mass energy at 10TeV with 10ab1 integrated luminosity. The results are obtained using the full detector simulations which include both physical and machine backgrounds. Full article
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17 pages, 332 KB  
Article
Black Holes and Baryon Number Violation: Unveiling the Origins of Early Galaxies and the Low-Mass Gap
by Merab Gogberashvili and Alexander S. Sakharov
Galaxies 2025, 13(1), 4; https://doi.org/10.3390/galaxies13010004 - 3 Jan 2025
Cited by 1 | Viewed by 2681
Abstract
We propose that modifications to the Higgs potential within a narrow atmospheric layer near the event horizon of an astrophysical black hole could significantly enhance the rate of sphaleron transitions, as well as transform the Chern–Simons number into a dynamic variable. As a [...] Read more.
We propose that modifications to the Higgs potential within a narrow atmospheric layer near the event horizon of an astrophysical black hole could significantly enhance the rate of sphaleron transitions, as well as transform the Chern–Simons number into a dynamic variable. As a result, sphaleron transitions in this region occur without suppression, in contrast to low-temperature conditions, and each transition may generate a substantially greater baryon number than would be produced by winding around the Higgs potential in Minkowski spacetime. This effect amplifies baryon number violation near the black hole horizon, potentially leading to a considerable generation of matter. Given the possibility of a departure from equilibrium during the absorption of matter and the formation of relativistic jets in supermassive black holes, we conjecture that this process could contribute to the creation of a significant amount of matter around such black holes. This phenomenon may offer an alternative explanation for the rapid growth of supermassive black holes and their surrounding galaxies in the early Universe, as suggested by recent observations from the James Webb Space Telescope. Furthermore, this mechanism may provide insights into the low-mass gap puzzle, addressing the observed scarcity of black holes with masses near the Oppenheimer–Volkoff limit. Full article
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