MultiHiggs doublet models: physical parametrization, sum rules and unitarity bounds
Abstract
If the scalar sector of the Standard Model is nonminimal, one might expect multiple generations of the hypercharge1/2 scalar doublet analogous to the generational structure of the fermions. In this work, we examine the structure of a Higgs sector consisting of N Higgs doublets (where N ≥ 2). It is particularly convenient to work in the socalled charged Higgs basis, in which the neutral Higgs vacuum expectation value resides entirely in the first Higgs doublet, and the charged components of remaining N  1 Higgs doublets are masseigenstate fields. We elucidate the interactions of the gauge bosons with the physical Higgs scalars and the Goldstone bosons and show that they are determined by an N × 2N matrix. This matrix depends on (N  1)(2N  1) real parameters that are associated with the mixing of the neutral Higgs fields in the charged Higgs basis. Among these parameters, N  1 are unphysical (and can be removed by rephasing the physical charged Higgs fields), and the remaining 2(N  1)^{2} parameters are physical. We also demonstrate a particularly simple form for the cubic interaction and some of the quartic interactions of the Goldstone bosons with the physical Higgs scalars. These results are applied in the derivation of Higgs coupling sum rules and treelevel unitarity bounds that restrict the size of the quartic scalar couplings. In particular, new applications to three Higgs doublet models with an order4 CP symmetry and with a ${\mathbb{Z}}_{3}$ symmetry, respectively, are presented.
 Authors:

 Univ. of Lisbon (Portugal). Center for Theoretical Particle Physics (CFTP). Dept. of Physics. Inst. Superior Técnico
 Univ. of California, Santa Cruz, CA (United States). Santa Cruz Inst. for Particle Physics
 Publication Date:
 Research Org.:
 Univ. of California, Santa Cruz, CA (United States); Univ. of Lisbon (Portugal)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Foundation for Science and Technology (FCT) (Portugal)
 OSTI Identifier:
 1501931
 Grant/Contract Number:
 SC0010107; PHY1066293; CERN/FISNUC/0010/2015; UID/FIS/00777/2013
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 11; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Beyond Standard Model; Higgs physics; CP violation; discrete symmetries
Citation Formats
Bento, Miguel P., Haber, Howard E., Romão, J. C., and Silva, João P. MultiHiggs doublet models: physical parametrization, sum rules and unitarity bounds. United States: N. p., 2017.
Web. doi:10.1007/jhep11(2017)095.
Bento, Miguel P., Haber, Howard E., Romão, J. C., & Silva, João P. MultiHiggs doublet models: physical parametrization, sum rules and unitarity bounds. United States. https://doi.org/10.1007/jhep11(2017)095
Bento, Miguel P., Haber, Howard E., Romão, J. C., and Silva, João P. Wed .
"MultiHiggs doublet models: physical parametrization, sum rules and unitarity bounds". United States. https://doi.org/10.1007/jhep11(2017)095. https://www.osti.gov/servlets/purl/1501931.
@article{osti_1501931,
title = {MultiHiggs doublet models: physical parametrization, sum rules and unitarity bounds},
author = {Bento, Miguel P. and Haber, Howard E. and Romão, J. C. and Silva, João P.},
abstractNote = {If the scalar sector of the Standard Model is nonminimal, one might expect multiple generations of the hypercharge1/2 scalar doublet analogous to the generational structure of the fermions. In this work, we examine the structure of a Higgs sector consisting of N Higgs doublets (where N ≥ 2). It is particularly convenient to work in the socalled charged Higgs basis, in which the neutral Higgs vacuum expectation value resides entirely in the first Higgs doublet, and the charged components of remaining N  1 Higgs doublets are masseigenstate fields. We elucidate the interactions of the gauge bosons with the physical Higgs scalars and the Goldstone bosons and show that they are determined by an N × 2N matrix. This matrix depends on (N  1)(2N  1) real parameters that are associated with the mixing of the neutral Higgs fields in the charged Higgs basis. Among these parameters, N  1 are unphysical (and can be removed by rephasing the physical charged Higgs fields), and the remaining 2(N  1)2 parameters are physical. We also demonstrate a particularly simple form for the cubic interaction and some of the quartic interactions of the Goldstone bosons with the physical Higgs scalars. These results are applied in the derivation of Higgs coupling sum rules and treelevel unitarity bounds that restrict the size of the quartic scalar couplings. In particular, new applications to three Higgs doublet models with an order4 CP symmetry and with a Z 3 symmetry, respectively, are presented.},
doi = {10.1007/jhep11(2017)095},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2017,
place = {United States},
year = {2017},
month = {11}
}
Web of Science
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