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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 Z 2 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 Z 2 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:
ORCiD logo; ORCiD logo; ; ORCiD logo;
Publication Date:
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) (SC-25)
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.
Boto, Rafael, Fernandes, Tiago V., Haber, Howard E., Romão, Jorge C., & Silva, João P. Basis-independent treatment of the complex 2HDM. United States. doi:10.1103/PhysRevD.101.055023.
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. doi:10.1103/PhysRevD.101.055023.
@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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.101.055023

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