Basis-independent treatment of the complex 2HDM

Boto, Rafael; Fernandes, Tiago V.; Haber, Howard E.; Romão, Jorge C.; Silva, João P.

doi:10.1103/PhysRevD.101.055023

Title: Basis-independent treatment of the complex 2HDM

Abstract

The complex 2HDM (C2HDM) is the most general CP-violating two-Higgs-doublet model that possesses a softly broken Z₂ symmetry. However, the physical consequences of the model cannot depend on the basis of scalar fields used to define it. Thus, to get a better sense of the significance of the C2HDM parameters, we have analyzed this model by employing a basis-independent formalism. This formalism involves transforming to the Higgs basis (which is defined up to an arbitrary complex phase) and identifying quantities that are invariant with respect to this phase degree of freedom. Using this method, we have obtained the constraints that enforce the softly broken Z₂ symmetry. One can then relate the C2HDM parameters to basis-independent quantities up to a twofold ambiguity. We then show how this remaining ambiguity is resolved. We also examine the possibility of spontaneous CP violation when the scalar potential of the C2HDM is explicitly CP conserving. Basis-independent constraints are presented that govern the presence of spontaneous CP violation.

Authors:

;

; Haber, Howard E.;

; Silva, João P.

Publication Date:: 2020-03-20

Research Org.:: Univ. of California, Santa Cruz, CA (United States). Santa Cruz Institute for Particle Physics

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1605635

Alternate Identifier(s):: OSTI ID: 1605653

Report Number(s):: SCIPP-19/01
Journal ID: ISSN 2470-0010; PRVDAQ; 055023

Grant/Contract Number:: SC0010107

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 5; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; extensions of the Higgs sector; two-Higgs-doublet model; CP symmetry; discrete symmetries; basis independence

Citation Formats


                    Boto, Rafael, Fernandes, Tiago V., Haber, Howard E., Romão, Jorge C., and Silva, João P. Basis-independent treatment of the complex 2HDM.  United States: N. p., 2020. 
Web.  doi:10.1103/PhysRevD.101.055023.

Copy to clipboard


                    Boto, Rafael, Fernandes, Tiago V., Haber, Howard E., Romão, Jorge C., & Silva, João P. Basis-independent treatment of the complex 2HDM.  United States.  https://doi.org/10.1103/PhysRevD.101.055023

Copy to clipboard


                    Boto, Rafael, Fernandes, Tiago V., Haber, Howard E., Romão, Jorge C., and Silva, João P. Fri .  
"Basis-independent treatment of the complex 2HDM".  United States.  https://doi.org/10.1103/PhysRevD.101.055023.

Copy to clipboard


                    
@article{osti_1605635,

  title        = {Basis-independent treatment of the complex 2HDM},

  author       = {Boto, Rafael and Fernandes, Tiago V. and Haber, Howard E. and Romão, Jorge C. and Silva, João P.},

  abstractNote = {The complex 2HDM (C2HDM) is the most general CP-violating two-Higgs-doublet model that possesses a softly broken Z2 symmetry. However, the physical consequences of the model cannot depend on the basis of scalar fields used to define it. Thus, to get a better sense of the significance of the C2HDM parameters, we have analyzed this model by employing a basis-independent formalism. This formalism involves transforming to the Higgs basis (which is defined up to an arbitrary complex phase) and identifying quantities that are invariant with respect to this phase degree of freedom. Using this method, we have obtained the constraints that enforce the softly broken Z2 symmetry. One can then relate the C2HDM parameters to basis-independent quantities up to a twofold ambiguity. We then show how this remaining ambiguity is resolved. We also examine the possibility of spontaneous CP violation when the scalar potential of the C2HDM is explicitly CP conserving. Basis-independent constraints are presented that govern the presence of spontaneous CP violation.},

  doi          = {10.1103/PhysRevD.101.055023},

  journal      = {Physical Review D},

  number       = 5,

  volume       = 101,

  place        = {United States},

  year         = {2020},

  month        = {3}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.101.055023

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Higgs bosons in supersymmetric models (I)
journal, July 1986

Gunion, John F.; Haber, Howard E.
Nuclear Physics B, Vol. 272, Issue 1
DOI: 10.1016/0550-3213(86)90340-8

CP violation in 2HDM and EFT: the ZZZ vertex
journal, April 2018

Bélusca-Maïto, Hermès; Falkowski, Adam; Fontes, Duarte
Journal of High Energy Physics, Vol. 2018, Issue 4
DOI: 10.1007/JHEP04(2018)002

The anatomy of electroweak symmetry breaking Tome II: The Higgs bosons in the Minimal Supersymmetric Model
journal, April 2008

Djouadi, A.
Physics Reports, Vol. 459, Issue 1-6
DOI: 10.1016/j.physrep.2007.10.005

The anatomy of electroweak symmetry breaking
journal, February 2008

Djouadi, Abdelhak
Physics Reports, Vol. 457, Issue 1-4
DOI: 10.1016/j.physrep.2007.10.004

Higgs Boson theory and phenomenology
journal, January 2003

Carena, M.; Haber, H. E.
Progress in Particle and Nuclear Physics, Vol. 50, Issue 1
DOI: 10.1016/S0146-6410(02)00177-1

Higgs bosons in supersymmetric models (II). Implications for phenomenology
journal, December 1986

Gunion, John F.; Haber, Howard E.
Nuclear Physics B, Vol. 278, Issue 3
DOI: 10.1016/0550-3213(86)90050-7

Signatures of discrete symmetries in the scalar sector
journal, December 1994

Lavoura, L.
Physical Review D, Vol. 50, Issue 11
DOI: 10.1103/PhysRevD.50.7089

Basis-independent methods for the two-Higgs-doublet model. III. The $C P$ -conserving limit, custodial symmetry, and the oblique parameters $S$ , $T$ , $U$
journal, March 2011

Haber, Howard E.; O’Neil, Deva
Physical Review D, Vol. 83, Issue 5
DOI: 10.1103/PhysRevD.83.055017

Measuring CP violation in two-Higgs-doublet models in light of the LHC Higgs data
journal, November 2014

Grzadkowski, B.; Ogreid, O. M.; Osland, P.
Journal of High Energy Physics, Vol. 2014, Issue 11
DOI: 10.1007/JHEP11(2014)084

Basis-independent methods for the two-Higgs-doublet model. II. The significance of $\tan β$
journal, July 2006

Haber, Howard E.; O’Neil, Deva
Physical Review D, Vol. 74, Issue 1
DOI: 10.1103/PhysRevD.74.015018

A gauge theory of weak and electromagnetic interactions with spontaneous parity breaking
journal, August 1974

Fayet, P.
Nuclear Physics B, Vol. 78, Issue 1
DOI: 10.1016/0550-3213(74)90113-8

CP -conserving two-Higgs-doublet model: The approach to the decoupling limit
journal, April 2003

Gunion, John F.; Haber, Howard E.
Physical Review D, Vol. 67, Issue 7
DOI: 10.1103/PhysRevD.67.075019

Tree-level unitarity constraints in the most general two Higgs doublet model
journal, December 2005

Ginzburg, I. F.; Ivanov, I. P.
Physical Review D, Vol. 72, Issue 11
DOI: 10.1103/PhysRevD.72.115010

Conditions for $C P$ violation in the general two-Higgs-doublet model
journal, November 2005

Gunion, John F.; Haber, Howard E.
Physical Review D, Vol. 72, Issue 9
DOI: 10.1103/PhysRevD.72.095002

Symmetries of two Higgs doublet model and $C P$ violation
journal, December 2005

Ginzburg, Ilya F.; Krawczyk, Maria
Physical Review D, Vol. 72, Issue 11
DOI: 10.1103/PhysRevD.72.115013

Diagonal neutral currents
journal, April 1977

Paschos, Emmanuel A.
Physical Review D, Vol. 15, Issue 7
DOI: 10.1103/PhysRevD.15.1966

Generalized $C P$ symmetries and special regions of parameter space in the two-Higgs-doublet model
journal, June 2009

Ferreira, P. M.; Haber, Howard E.; Silva, João P.
Physical Review D, Vol. 79, Issue 11
DOI: 10.1103/PhysRevD.79.116004

Fundamental CP -violating quantities in an SU(2)⊗U(1) model with many Higgs doublets
journal, October 1994

Lavoura, L.; Silva, João P.
Physical Review D, Vol. 50, Issue 7
DOI: 10.1103/PhysRevD.50.4619

Consistency of the two-Higgs-doublet model and CP violation in top production at the LHC
journal, July 2007

El Kaffas, Abdul Wahab; Khater, Wafaa; Magne Ogreid, Odd
Nuclear Physics B, Vol. 775, Issue 1-2
DOI: 10.1016/j.nuclphysb.2007.03.041

Two-Higgs-doublet model from the group-theoretic perspective
journal, January 2006

Ivanov, I. P.
Physics Letters B, Vol. 632, Issue 2-3
DOI: 10.1016/j.physletb.2005.10.015

The fermion mass scale and possible effects of Higgs bosons on experimental observables
journal, December 1979

Haber, H. E.; Kane, G. L.; Sterling, T.
Nuclear Physics B, Vol. 161, Issue 2-3
DOI: 10.1016/0550-3213(79)90225-6

Properties of charged Higgs bosons
journal, February 1979

Donoghue, John F.; Li, Ling-Fong
Physical Review D, Vol. 19, Issue 3
DOI: 10.1103/PhysRevD.19.945

CP-odd invariants in models with several Higgs doublets
journal, May 2005

Branco, Gustavo C.; Rebelo, M. N.; Silva-Marcos, J. I.
Physics Letters B, Vol. 614, Issue 3-4
DOI: 10.1016/j.physletb.2005.03.075

New LHC benchmarks for the $$\mathcal{CP}$$ CP -conserving two-Higgs-doublet model
journal, October 2015

Haber, Howard E.; Stål, Oscar
The European Physical Journal C, Vol. 75, Issue 10
DOI: 10.1140/epjc/s10052-015-3697-x

A two-Higgs doublet model with remarkable CP properties
journal, July 2010

Ferreira, P. M.; Silva, João P.
The European Physical Journal C, Vol. 69, Issue 1-2
DOI: 10.1140/epjc/s10052-010-1384-5

CP nonconservation and spontaneous symmetry breaking
journal, January 1974

Lee, T. D.
Physics Reports, Vol. 9, Issue 2
DOI: 10.1016/0370-1573(74)90020-9

$CP$ Conservation in the Presence of Pseudoparticles
journal, June 1977

Peccei, R. D.; Quinn, Helen R.
Physical Review Letters, Vol. 38, Issue 25
DOI: 10.1103/PhysRevLett.38.1440

CP violation in the general two-Higgs-doublet model: a geometric view
journal, September 2008

Maniatis, M.; von Manteuffel, A.; Nachtmann, O.
The European Physical Journal C, Vol. 57, Issue 4
DOI: 10.1140/epjc/s10052-008-0712-5

The Geometric Picture of Generalized-Cp and Higgs-Family Transformations in the Two-Higgs-Doublet Model
journal, February 2011

Ferreira, P. M.; Haber, Howard E.; Maniatis, M.
International Journal of Modern Physics A, Vol. 26, Issue 05
DOI: 10.1142/S0217751X11051494

Unitarity bound in the most general two Higgs doublet model
journal, December 2015

Kanemura, Shinya; Yagyu, Kei
Physics Letters B, Vol. 751
DOI: 10.1016/j.physletb.2015.10.047

CP properties of symmetry-constrained two-Higgs-doublet models
journal, August 2010

Ferreira, P. M.; Maniatis, M.; Nachtmann, O.
Journal of High Energy Physics, Vol. 2010, Issue 8
DOI: 10.1007/JHEP08(2010)125

Spontaneous $C P$ violation in the 2HDM: Physical conditions and the alignment limit
journal, December 2016

Grzadkowski, B.; Ogreid, O. M.; Osland, P.
Physical Review D, Vol. 94, Issue 11
DOI: 10.1103/PhysRevD.94.115002

Jarlskog-like invariants for theories with scalars and fermions
journal, April 1995

Botella, F. J.; Silva, João P.
Physical Review D, Vol. 51, Issue 7
DOI: 10.1103/PhysRevD.51.3870

Theory and phenomenology of two-Higgs-doublet models
journal, July 2012

Branco, G. C.; Ferreira, P. M.; Lavoura, L.
Physics Reports, Vol. 516, Issue 1-2
DOI: 10.1016/j.physrep.2012.02.002

Erratum to: Maximally symmetric two Higgs doublet model with natural standard model alignment
journal, November 2015

Bhupal Dev, P. S.; Pilaftsis, Apostolos
Journal of High Energy Physics, Vol. 2015, Issue 11
DOI: 10.1007/JHEP11(2015)147

Erratum: Basis-independent methods for the two-Higgs-doublet model [Phys. Rev. D 72 , 035004 (2005)]
journal, November 2005

Davidson, Sacha; Haber, Howard E.
Physical Review D, Vol. 72, Issue 9
DOI: 10.1103/PhysRevD.72.099902

Basis-independent methods for the two-Higgs-doublet model
journal, August 2005

Davidson, Sacha; Haber, Howard E.
Physical Review D, Vol. 72, Issue 3
DOI: 10.1103/PhysRevD.72.035004

Erratum to: New LHC benchmarks for the $$\mathcal {CP}$$ CP -conserving two-Higgs-doublet model
journal, June 2016

Haber, Howard E.; Stål, Oscar
The European Physical Journal C, Vol. 76, Issue 6
DOI: 10.1140/epjc/s10052-016-4151-4

Search for a stable alignment limit in two-Higgs-doublet models
journal, May 2015

Das, Dipankar; Saha, Ipsita
Physical Review D, Vol. 91, Issue 9
DOI: 10.1103/PhysRevD.91.095024

Tree-unitarity bounds for THDM Higgs masses revisited
journal, March 2006

Hořejší, J.; Kladiva, M.
The European Physical Journal C, Vol. 46, Issue 1
DOI: 10.1140/epjc/s2006-02472-3

Note on tree-level unitarity in the general two Higgs doublet model
journal, September 2000

G. Akeroyd, A.; Arhrib, A.; Naimi, E.
Physics Letters B, Vol. 490, Issue 1-2
DOI: 10.1016/S0370-2693(00)00962-X

Low Energy Parameters and Particle Masses in a Supersymmetric Grand Unified Model
journal, June 1982

Inoue, K.; Kakuto, A.; Komatsu, H.
Progress of Theoretical Physics, Vol. 67, Issue 6
DOI: 10.1143/PTP.67.1889

CP violation in charged Higgs production and decays in the Complex Two Higgs Doublet Model
journal, April 2011

Arhrib, A.; Christova, E.; Eberl, H.
Journal of High Energy Physics, Vol. 2011, Issue 4
DOI: 10.1007/JHEP04(2011)089

Maximally symmetric two Higgs doublet model with natural standard model alignment
journal, December 2014

Bhupal Dev, P. S.; Pilaftsis, Apostolos
Journal of High Energy Physics, Vol. 2014, Issue 12
DOI: 10.1007/JHEP12(2014)024

Unitarity bounds on Higgs boson masses in the Weinberg-Salam model with two Higgs doublets
journal, March 1981

H�ffel, H.; P�csik, G.
Zeitschrift f�r Physik C Particles and Fields, Vol. 8, Issue 1
DOI: 10.1007/BF01429824

Suppression of flavor changing effects from neutral spinless meson exchange in gauge theories
journal, March 1979

Georgi, Howard; Nanopoulos, D. V.
Physics Letters B, Vol. 82, Issue 1
DOI: 10.1016/0370-2693(79)90433-7

h → Zγ in the complex two Higgs doublet model
journal, December 2014

Fontes, Duarte; Romão, J. C.; Silva, João P.
Journal of High Energy Physics, Vol. 2014, Issue 12
DOI: 10.1007/JHEP12(2014)043

$C P$ violation conditions in $N$ -Higgs-doublet potentials
journal, August 2006

Nishi, C. C.
Physical Review D, Vol. 74, Issue 3
DOI: 10.1103/PhysRevD.74.036003

A Theory of Spontaneous $T$ Violation
journal, August 1973

Lee, T. D.
Physical Review D, Vol. 8, Issue 4
DOI: 10.1103/PhysRevD.8.1226

Beyond basis invariants
journal, April 2019

Ivanov, Igor P.; Nishi, Celso C.; Trautner, Andreas
The European Physical Journal C, Vol. 79, Issue 4
DOI: 10.1140/epjc/s10052-019-6845-x

Impersonating the Standard Model Higgs boson: alignment without decoupling
journal, April 2014

Carena, Marcela; Low, Ian; Shah, Nausheen R.
Journal of High Energy Physics, Vol. 2014, Issue 4
DOI: 10.1007/JHEP04(2014)015

Probing the scalar-pseudoscalar mixing in the 125 GeV Higgs particle with current data
journal, July 2012

Barroso, A.; Ferreira, P. M.; Santos, Rui
Physical Review D, Vol. 86, Issue 1
DOI: 10.1103/PhysRevD.86.015022

The C2HDM revisited
journal, February 2018

Fontes, Duarte; Mühlleitner, Margarete; Romão, Jorge C.
Journal of High Energy Physics, Vol. 2018, Issue 2
DOI: 10.1007/JHEP02(2018)073

Natural conservation laws for neutral currents
journal, April 1977

Glashow, Sheldon L.; Weinberg, Steven
Physical Review D, Vol. 15, Issue 7
DOI: 10.1103/PhysRevD.15.1958

Erratum: Basis-independent methods for the two-Higgs-doublet model. II. The significance of $\tan β$ [Phys. Rev. D 74 , 015018 (2006)]
journal, September 2006

Haber, Howard E.; O’Neil, Deva
Physical Review D, Vol. 74, Issue 5
DOI: 10.1103/PhysRevD.74.059905

Heavy Higgs boson decays in the alignment limit of the 2HDM
journal, December 2018

Grzadkowski, Bohdan; Haber, Howard E.; Ogreid, Odd Magne
Journal of High Energy Physics, Vol. 2018, Issue 12
DOI: 10.1007/JHEP12(2018)056

Effects of multiple Higgs bosons on tree unitarity
journal, October 1984

Weldon, H. Arthur
Physical Review D, Vol. 30, Issue 7
DOI: 10.1103/PhysRevD.30.1547

Flavor changing Higgs boson couplings
journal, September 1981

Hall, Lawrence J.; Wise, Mark B.
Nuclear Physics B, Vol. 187, Issue 3
DOI: 10.1016/0550-3213(81)90469-7

Erratum: $C P$ violation conditions in $N$ -Higgs-doublet potentials [Phys. Rev. D 74 , 036003 (2006)]
journal, December 2007

Nishi, C. C.
Physical Review D, Vol. 76, Issue 11
DOI: 10.1103/PhysRevD.76.119901

$C P$ -violating phenomenology of flavor conserving two Higgs doublet models
journal, June 2014

Inoue, Satoru; Ramsey-Musolf, Michael J.; Zhang, Yue
Physical Review D, Vol. 89, Issue 11
DOI: 10.1103/PhysRevD.89.115023

The Higgs mass in a model with two scalar doublets and spontaneous CP violation
journal, October 1985

Branco, G. C.; Rebelo, M. N.
Physics Letters B, Vol. 160, Issue 1-3
DOI: 10.1016/0370-2693(85)91476-5

Higgs masses in the standard, multi-Higgs and supersymmetric models
journal, June 1983

Flores, Ricardo A.; Sher, Marc
Annals of Physics, Vol. 148, Issue 1
DOI: 10.1016/0003-4916(83)90331-7

Similar Records in DOE PAGES and OSTI.GOV collections:

Exceptional regions of the 2HDM parameter space

Journal Article Haber, Howard E. ; Silva, João P. - Physical Review D

The exceptional region of the parameter space (ERPS) of the two Higgs doublet model (2HDM) is defined to be the parameter regime where the scalar potential takes on a very special form. In the standard parametrization of the 2HDM scalar potential with squared mass parametersmore »« less
https://doi.org/10.1103/PhysRevD.103.115012
A natural mechanism for approximate Higgs alignment in the 2HDM

Journal Article Draper, Patrick ; Ekstedt, Andreas ; Haber, Howard E. - Journal of High Energy Physics (Online)

The 2HDM possesses a neutral scalar interaction eigenstate whose tree-level properties coincide with the Standard Model (SM) Higgs boson. In light of the LHC Higgs data which suggests that the observed Higgs boson is SM-like, it follows that the mixing of the SM Higgs interaction eigenstate with the other neutral scalar interaction eigenstates of the 2HDM should be suppressed, corresponding to the so-called Higgs alignment limit. The exact Higgs alignment limit can arise naturally due to a global symmetry of the scalar potential. If this symmetry is softly broken, then the Higgs alignment limit becomes approximate (although still potentially consistentmore »« less
https://doi.org/10.1007/jhep05(2021)235

Full Text Available
Heavy Higgs boson decays in the alignment limit of the 2HDM

Journal Article Grzadkowski, Bohdan ; Haber, Howard E. ; Ogreid, Odd Magne ; ... - Journal of High Energy Physics (Online)

The Standard Model (SM)-like couplings of the observed Higgs boson impose strong constraints on the structure of any extended Higgs sector. We consider the theoretical properties and the phenomenological implications of a generic two Higgs doublet model (2HDM). This model constitutes a simple and attractive extension of the SM that is consistent with the observation of the SM-like Higgs boson and precision electroweak observables, while providing a potential new source of CP-violation. In this paper we focus on the so-called Higgs alignment limit of the generic 2HDM, where the neutral scalar field H₁, with the tree-level couplings of the SMmore »« less
Cited by 13
https://doi.org/10.1007/jhep12(2018)056

Full Text Available
Basis-independent methods for the two-Higgs-doublet model. III. The CP-conserving limit, custodial symmetry, and the oblique parameters S, T, U

Journal Article Haber, Howard E ; O'Neil, Deva - Physical Review. D, Particles Fields

In the standard model, custodial symmetry is violated by the hypercharge U(1) gauge interactions and the Yukawa couplings, while being preserved by the Higgs scalar potential. In the two-Higgs-doublet model (2HDM), the generic scalar potential introduces new sources of custodial symmetry breaking. We obtain a basis-independent expression for the constraints that impose custodial symmetry on the 2HDM scalar potential. These constraints impose CP-conservation on the scalar potential and vacuum, and in addition add one extra constraint on the scalar potential parameters. We clarify the mass degeneracies of the 2HDM that arise as a consequence of the custodial symmetry. We alsomore »« less
https://doi.org/10.1103/PHYSREVD.83.055017
Higgs phenomenology in the minimal $S U (3)_{L} x U (1)_{X}$ model

Journal Article Okada, Hiroshi ; Okada, Nobuchika ; Orikasa, Yuta ; ... - Physical Review D

Here, we investigate the phenomenology of a model based on the SU(3)_c×SU(3)_L×U(1)_X gauge theory, the so-called 331 model. Particularly, we focus on the Higgs sector of the model which is composed of three SU(3)_L triplet Higgs fields, and this corresponds to the minimal form to realize phenomenologically acceptable scenario. After the spontaneous symmetry breaking SU(3)_L×U(1)_X→SU(2)_L×U(1)_Y, our Higgs sector effectively becomes that with two SU(2)L doublet scalar fields, in which the first and the second generation quarks couple to the different Higgs doublet from that couples to the third generation quarks. Furthermore, this structure causes the flavour changing neutral current mediated by Higgs bosons at the tree level. By taking an alignment limit of the mass matrix for the CP-even Higgs bosons, which is naturally realized in the case with the breaking scale of SU(3)_L×U(1)_X to be much larger than that of SU(2)_L×U(1)_L, we can avoid current constraints from flavour experiments such as the B⁰-more »« less
Cited by 6
https://doi.org/10.1103/PhysRevD.94.015002

Full Text Available

Similar Records

Title: Basis-independent treatment of the complex 2HDM

Abstract

Citation Formats

Higgs bosons in supersymmetric models (I) journal, July 1986

CP violation in 2HDM and EFT: the ZZZ vertex journal, April 2018

The anatomy of electroweak symmetry breaking Tome II: The Higgs bosons in the Minimal Supersymmetric Model journal, April 2008

The anatomy of electroweak symmetry breaking journal, February 2008

Higgs Boson theory and phenomenology journal, January 2003

Higgs bosons in supersymmetric models (II). Implications for phenomenology journal, December 1986

Signatures of discrete symmetries in the scalar sector journal, December 1994

Basis-independent methods for the two-Higgs-doublet model. III. The C P -conserving limit, custodial symmetry, and the oblique parameters S , T , U journal, March 2011

Measuring CP violation in two-Higgs-doublet models in light of the LHC Higgs data journal, November 2014

Basis-independent methods for the two-Higgs-doublet model. II. The significance of tan ﻿ β journal, July 2006

A gauge theory of weak and electromagnetic interactions with spontaneous parity breaking journal, August 1974

CP -conserving two-Higgs-doublet model: The approach to the decoupling limit journal, April 2003

Tree-level unitarity constraints in the most general two Higgs doublet model journal, December 2005

Conditions for C P violation in the general two-Higgs-doublet model journal, November 2005

Symmetries of two Higgs doublet model and C P violation journal, December 2005

Diagonal neutral currents journal, April 1977

Generalized C P symmetries and special regions of parameter space in the two-Higgs-doublet model journal, June 2009

Fundamental CP -violating quantities in an SU(2)⊗U(1) model with many Higgs doublets journal, October 1994

Consistency of the two-Higgs-doublet model and CP violation in top production at the LHC journal, July 2007

Two-Higgs-doublet model from the group-theoretic perspective journal, January 2006

The fermion mass scale and possible effects of Higgs bosons on experimental observables journal, December 1979

Properties of charged Higgs bosons journal, February 1979

CP-odd invariants in models with several Higgs doublets journal, May 2005

New LHC benchmarks for the $$\mathcal{CP}$$ CP -conserving two-Higgs-doublet model journal, October 2015

A two-Higgs doublet model with remarkable CP properties journal, July 2010

CP nonconservation and spontaneous symmetry breaking journal, January 1974

CP Conservation in the Presence of Pseudoparticles journal, June 1977

CP violation in the general two-Higgs-doublet model: a geometric view journal, September 2008

The Geometric Picture of Generalized-Cp and Higgs-Family Transformations in the Two-Higgs-Doublet Model journal, February 2011

Unitarity bound in the most general two Higgs doublet model journal, December 2015

CP properties of symmetry-constrained two-Higgs-doublet models journal, August 2010

Spontaneous C P violation in the 2HDM: Physical conditions and the alignment limit journal, December 2016

Jarlskog-like invariants for theories with scalars and fermions journal, April 1995

Theory and phenomenology of two-Higgs-doublet models journal, July 2012

Erratum to: Maximally symmetric two Higgs doublet model with natural standard model alignment journal, November 2015

Erratum: Basis-independent methods for the two-Higgs-doublet model [Phys. Rev. D 72 , 035004 (2005)] journal, November 2005

Basis-independent methods for the two-Higgs-doublet model journal, August 2005

Erratum to: New LHC benchmarks for the $$\mathcal {CP}$$ CP -conserving two-Higgs-doublet model journal, June 2016

Search for a stable alignment limit in two-Higgs-doublet models journal, May 2015

Tree-unitarity bounds for THDM Higgs masses revisited journal, March 2006

Note on tree-level unitarity in the general two Higgs doublet model journal, September 2000

Low Energy Parameters and Particle Masses in a Supersymmetric Grand Unified Model journal, June 1982

CP violation in charged Higgs production and decays in the Complex Two Higgs Doublet Model journal, April 2011

Maximally symmetric two Higgs doublet model with natural standard model alignment journal, December 2014

Unitarity bounds on Higgs boson masses in the Weinberg-Salam model with two Higgs doublets journal, March 1981

Suppression of flavor changing effects from neutral spinless meson exchange in gauge theories journal, March 1979

h → Zγ in the complex two Higgs doublet model journal, December 2014

C P violation conditions in N -Higgs-doublet potentials journal, August 2006

A Theory of Spontaneous T Violation journal, August 1973

Beyond basis invariants journal, April 2019

Impersonating the Standard Model Higgs boson: alignment without decoupling journal, April 2014

Probing the scalar-pseudoscalar mixing in the 125 GeV Higgs particle with current data journal, July 2012

The C2HDM revisited journal, February 2018

Natural conservation laws for neutral currents journal, April 1977

Erratum: Basis-independent methods for the two-Higgs-doublet model. II. The significance of tan ﻿ β [Phys. Rev. D 74 , 015018 (2006)] journal, September 2006

Heavy Higgs boson decays in the alignment limit of the 2HDM journal, December 2018

Effects of multiple Higgs bosons on tree unitarity journal, October 1984

Flavor changing Higgs boson couplings journal, September 1981

Erratum: C P violation conditions in N -Higgs-doublet potentials [Phys. Rev. D 74 , 036003 (2006)] journal, December 2007

C P -violating phenomenology of flavor conserving two Higgs doublet models journal, June 2014

The Higgs mass in a model with two scalar doublets and spontaneous CP violation journal, October 1985

Higgs masses in the standard, multi-Higgs and supersymmetric models journal, June 1983

Higgs bosons in supersymmetric models (I)
journal, July 1986

CP violation in 2HDM and EFT: the ZZZ vertex
journal, April 2018

The anatomy of electroweak symmetry breaking Tome II: The Higgs bosons in the Minimal Supersymmetric Model
journal, April 2008

The anatomy of electroweak symmetry breaking
journal, February 2008

Higgs Boson theory and phenomenology
journal, January 2003

Higgs bosons in supersymmetric models (II). Implications for phenomenology
journal, December 1986

Signatures of discrete symmetries in the scalar sector
journal, December 1994

Basis-independent methods for the two-Higgs-doublet model. III. The $C P$ -conserving limit, custodial symmetry, and the oblique parameters $S$ , $T$ , $U$
journal, March 2011

Measuring CP violation in two-Higgs-doublet models in light of the LHC Higgs data
journal, November 2014

Basis-independent methods for the two-Higgs-doublet model. II. The significance of $\tan β$
journal, July 2006

A gauge theory of weak and electromagnetic interactions with spontaneous parity breaking
journal, August 1974

CP -conserving two-Higgs-doublet model: The approach to the decoupling limit
journal, April 2003

Tree-level unitarity constraints in the most general two Higgs doublet model
journal, December 2005

Conditions for $C P$ violation in the general two-Higgs-doublet model
journal, November 2005

Symmetries of two Higgs doublet model and $C P$ violation
journal, December 2005

Diagonal neutral currents
journal, April 1977

Generalized $C P$ symmetries and special regions of parameter space in the two-Higgs-doublet model
journal, June 2009

Fundamental CP -violating quantities in an SU(2)⊗U(1) model with many Higgs doublets
journal, October 1994

Consistency of the two-Higgs-doublet model and CP violation in top production at the LHC
journal, July 2007

Two-Higgs-doublet model from the group-theoretic perspective
journal, January 2006

The fermion mass scale and possible effects of Higgs bosons on experimental observables
journal, December 1979

Properties of charged Higgs bosons
journal, February 1979

CP-odd invariants in models with several Higgs doublets
journal, May 2005

New LHC benchmarks for the $$\mathcal{CP}$$ CP -conserving two-Higgs-doublet model
journal, October 2015

A two-Higgs doublet model with remarkable CP properties
journal, July 2010

CP nonconservation and spontaneous symmetry breaking
journal, January 1974

$CP$ Conservation in the Presence of Pseudoparticles
journal, June 1977

CP violation in the general two-Higgs-doublet model: a geometric view
journal, September 2008

The Geometric Picture of Generalized-Cp and Higgs-Family Transformations in the Two-Higgs-Doublet Model
journal, February 2011

Unitarity bound in the most general two Higgs doublet model
journal, December 2015

CP properties of symmetry-constrained two-Higgs-doublet models
journal, August 2010

Spontaneous $C P$ violation in the 2HDM: Physical conditions and the alignment limit
journal, December 2016

Jarlskog-like invariants for theories with scalars and fermions
journal, April 1995

Theory and phenomenology of two-Higgs-doublet models
journal, July 2012

Erratum to: Maximally symmetric two Higgs doublet model with natural standard model alignment
journal, November 2015

Erratum: Basis-independent methods for the two-Higgs-doublet model [Phys. Rev. D 72 , 035004 (2005)]
journal, November 2005

Basis-independent methods for the two-Higgs-doublet model
journal, August 2005

Erratum to: New LHC benchmarks for the $$\mathcal {CP}$$ CP -conserving two-Higgs-doublet model
journal, June 2016

Search for a stable alignment limit in two-Higgs-doublet models
journal, May 2015

Tree-unitarity bounds for THDM Higgs masses revisited
journal, March 2006

Note on tree-level unitarity in the general two Higgs doublet model
journal, September 2000

Low Energy Parameters and Particle Masses in a Supersymmetric Grand Unified Model
journal, June 1982

CP violation in charged Higgs production and decays in the Complex Two Higgs Doublet Model
journal, April 2011

Maximally symmetric two Higgs doublet model with natural standard model alignment
journal, December 2014

Unitarity bounds on Higgs boson masses in the Weinberg-Salam model with two Higgs doublets
journal, March 1981

Suppression of flavor changing effects from neutral spinless meson exchange in gauge theories
journal, March 1979

h → Zγ in the complex two Higgs doublet model
journal, December 2014

$C P$ violation conditions in $N$ -Higgs-doublet potentials
journal, August 2006

A Theory of Spontaneous $T$ Violation
journal, August 1973

Beyond basis invariants
journal, April 2019

Impersonating the Standard Model Higgs boson: alignment without decoupling
journal, April 2014

Probing the scalar-pseudoscalar mixing in the 125 GeV Higgs particle with current data
journal, July 2012

The C2HDM revisited
journal, February 2018

Natural conservation laws for neutral currents
journal, April 1977

Erratum: Basis-independent methods for the two-Higgs-doublet model. II. The significance of $\tan β$ [Phys. Rev. D 74 , 015018 (2006)]
journal, September 2006

Heavy Higgs boson decays in the alignment limit of the 2HDM
journal, December 2018

Effects of multiple Higgs bosons on tree unitarity
journal, October 1984

Flavor changing Higgs boson couplings
journal, September 1981

Erratum: $C P$ violation conditions in $N$ -Higgs-doublet potentials [Phys. Rev. D 74 , 036003 (2006)]
journal, December 2007

$C P$ -violating phenomenology of flavor conserving two Higgs doublet models
journal, June 2014

The Higgs mass in a model with two scalar doublets and spontaneous CP violation
journal, October 1985

Higgs masses in the standard, multi-Higgs and supersymmetric models
journal, June 1983