Correction: Ferrari, A.; Rompotis, N. Exploration of Extended Higgs Sectors with Run-2 Proton–Proton Collision Data at the LHC. Symmetry 2021, 13, 2144

Arnaud Ferrari; Nikolaos Rompotis

doi:10.3390/sym14081546

and

¹

Department of Physics and Astronomy, Uppsala University, 75120 Uppsala, Sweden

²

Department of Physics, University of Liverpool, Liverpool L69 3BX, UK

^*

Author to whom correspondence should be addressed.

Symmetry2022, 14(8), 1546;https://doi.org/10.3390/sym14081546

This article belongs to the Special Issue Recent Advance in Accelerator and Particle Physics

Version Notes

Order Reprints

With respect to the original review article [1], the corrected couplings of the Higgs doublets

Φ_{1}

and

Φ_{2}

in the 2HDM type-I, type-II, lepton-specific and flipped scenarios are shown in Table 1. The authors apologize for any inconvenience caused and state that the scientific conclusions are unaffected. The original publication has also been updated.

Table 1. Coupling coefficients of the neutral bosons h, H and A to fermions (top) and vector bosons (bottom). By convention, the Yukawa couplings are the same for up-type quarks (u) and may differ for down-type quarks (d) and charged leptons (ℓ) depending on the 2HDM type for models with built-in flavour conservation. These coefficients

ξ

are defined such that the Yukawa Lagrangian terms are

- (m_{f} / v) \bar{f} f ϕ

and

i (m_{f} / v) \bar{f} γ_{5} f A

, where

f = u, d, ℓ

and

ϕ = h, H

. The coupling coefficients to vector bosons are defined such that the Feynman rule for the coupling

ϕ V V

is given by

2 i m_{V}^{2} ξ (ϕ, V V) g_{μ ν} / v

, where

ϕ

= h, H, A and V = W, Z. The notations

s_{β - α}

,

c_{β - α}

and

t_{β}

refer to

sin (β - α)

,

cos (β - α)

and

tan β

, respectively.

Reference

Ferrari, A.; Rompotis, N. Exploration of Extended Higgs Sectors with Run-2 Proton-Proton Collision Data at the LHC. Symmetry 2021, 13, 2144. [Google Scholar] [CrossRef]

Table 1. Coupling coefficients of the neutral bosons h, H and A to fermions (top) and vector bosons (bottom). By convention, the Yukawa couplings are the same for up-type quarks (u) and may differ for down-type quarks (d) and charged leptons (ℓ) depending on the 2HDM type for models with built-in flavour conservation. These coefficients

ξ

are defined such that the Yukawa Lagrangian terms are

- (m_{f} / v) \bar{f} f ϕ

and

i (m_{f} / v) \bar{f} γ_{5} f A

, where

f = u, d, ℓ

and

ϕ = h, H

. The coupling coefficients to vector bosons are defined such that the Feynman rule for the coupling

ϕ V V

is given by

2 i m_{V}^{2} ξ (ϕ, V V) g_{μ ν} / v

, where

ϕ

= h, H, A and V = W, Z. The notations

s_{β - α}

,

c_{β - α}

and

t_{β}

refer to

sin (β - α)

,

cos (β - α)

and

tan β

, respectively.

Table 1. Coupling coefficients of the neutral bosons h, H and A to fermions (top) and vector bosons (bottom). By convention, the Yukawa couplings are the same for up-type quarks (u) and may differ for down-type quarks (d) and charged leptons (ℓ) depending on the 2HDM type for models with built-in flavour conservation. These coefficients

ξ

are defined such that the Yukawa Lagrangian terms are

- (m_{f} / v) \bar{f} f ϕ

and

i (m_{f} / v) \bar{f} γ_{5} f A

, where

f = u, d, ℓ

and

ϕ = h, H

. The coupling coefficients to vector bosons are defined such that the Feynman rule for the coupling

ϕ V V

is given by

2 i m_{V}^{2} ξ (ϕ, V V) g_{μ ν} / v

, where

ϕ

= h, H, A and V = W, Z. The notations

s_{β - α}

,

c_{β - α}

and

t_{β}

refer to

sin (β - α)

,

cos (β - α)

and

tan β

, respectively.

Yukawa Couplings	Type-I	Type-II	Lepton-Specific	Flipped
$ξ (h, u)$	$s_{β - α} + c_{β - α} / t_{β}$	$s_{β - α} + c_{β - α} / t_{β}$	$s_{β - α} + c_{β - α} / t_{β}$	$s_{β - α} + c_{β - α} / t_{β}$
$ξ (h, d)$	$s_{β - α} + c_{β - α} / t_{β}$	$s_{β - α} - c_{β - α} \cdot t_{β}$	$s_{β - α} + c_{β - α} / t_{β}$	$s_{β - α} - c_{β - α} \cdot t_{β}$
$ξ (h, ℓ)$	$s_{β - α} + c_{β - α} / t_{β}$	$s_{β - α} - c_{β - α} \cdot t_{β}$	$s_{β - α} - c_{β - α} \cdot t_{β}$	$s_{β - α} + c_{β - α} / t_{β}$
$ξ (H, u)$	$c_{β - α} - s_{β - α} / t_{β}$	$c_{β - α} - s_{β - α} / t_{β}$	$c_{β - α} - s_{β - α} / t_{β}$	$c_{β - α} - s_{β - α} / t_{β}$
$ξ (H, d)$	$c_{β - α} - s_{β - α} / t_{β}$	$c_{β - α} + s_{β - α} \cdot t_{β}$	$c_{β - α} - s_{β - α} / t_{β}$	$c_{β - α} + s_{β - α} \cdot t_{β}$
$ξ (H, ℓ)$	$c_{β - α} - s_{β - α} / t_{β}$	$c_{β - α} + s_{β - α} \cdot t_{β}$	$c_{β - α} + s_{β - α} \cdot t_{β}$	$c_{β - α} - s_{β - α} / t_{β}$
$ξ (A, u)$	$1 / t_{β}$	$1 / t_{β}$	$1 / t_{β}$	$1 / t_{β}$
$ξ (A, d)$	$- 1 / t_{β}$	$t_{β}$	$- 1 / t_{β}$	$t_{β}$
$ξ (A, ℓ)$	$- 1 / t_{β}$	$t_{β}$	$t_{β}$	$- 1 / t_{β}$
Couplings to Vector Bosons
(common to all 2HDM types)
$ξ (h, V V)$			$s_{β - α}$
$ξ (H, V V)$			$c_{β - α}$
$ξ (A, V V)$			0

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Correction: Ferrari, A.; Rompotis, N. Exploration of Extended Higgs Sectors with Run-2 Proton–Proton Collision Data at the LHC. Symmetry 2021, 13, 2144

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