Multi-Higgs doublet models: the Higgs-fermion couplings and their sum rules

Bento, Miguel P.; Haber, Howard E.; Romão, Jorge C.; Silva, João P.

doi:10.1007/JHEP10(2018)143

Title: Multi-Higgs doublet models: the Higgs-fermion couplings and their sum rules

Journal Article · Tue Oct 23 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP10(2018)143· OSTI ID:1483940

Bento, Miguel P. ^[1]; Haber, Howard E. ^[2]; Romão, Jorge C. ^[1]; Silva, João P. ^[1]

Univ. de Lisboa, Lisboa (Portugal)
Univ. of California, Santa Cruz, CA (United States)

This is the second of a series of papers that explores the physical parameterization, sum rules and unitarity bounds arising from a non-minimal scalar sector of the Standard Model (SM) that consists of N Higgs doublets. In this paper, we focus on the structure and implication of the Yukawa interactions that couple the N scalar doublets to the SM fermions. We employ the charged Higgs basis, which is defined as the basis of scalar fields such that the neutral scalar field vacuum expectation value resides entirely in one of the N scalar doublet fields, and the charged components of the remaining N – 1 scalar doublet fields are the physical (mass-eigenstate) charged Higgs fields. Based on the structure of the Yukawa Lagrangian of the model (and as a consequence of tree-level unitarity), one may deduce numerous sum rules, several of which have not appeared previously in the literature. Furthermore, these sum rules can be used to uncover intimate relations between the structure of the Higgs-fermion couplings and the scalar/gauge couplings. In particular, we show that the approximate alignment limit, in which the W⁺W^– and ZZ couplings to the observed Higgs boson are approximately SM-like, imposes significant constraints on the Higgs-fermion couplings.

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Research Organization:: Univ. of California, Santa Cruz, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0010107

OSTI ID:: 1483940

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 10; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 13 works

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