Constraints from Heavy Higgs boson masses in the two Higgs doublet model

Fuente: arXiv
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Autores principales: Cho, Jin-Hwan, Kim, Tae Young, Song, Jeonghyeon
Formato: Preprint
Publicado: 2018
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author Cho, Jin-Hwan
Kim, Tae Young
Song, Jeonghyeon
author_facet Cho, Jin-Hwan
Kim, Tae Young
Song, Jeonghyeon
contents Upon the absence of signals of new physics at the LHC, a reasonable strategy is to assume that new particles are very heavy and the other model parameters are unknown yet. In the aligned two Higgs doublet model, however, heavy Higgs boson masses above 500 GeV enhance some couplings in the scalar potential, which causes a breakdown of the perturbative unitariry in general. Some tuning among model parameters is required. We find that one information on the heavy Higgs boson mass, say $M_H$, has significant theoretical implications: (i) the other heavy Higgs bosons should have similar masses to $M_H$ within $\pm \mathcal{O}(10)\%$; (ii) the inequalities from the theoretical constraints are practically reduced to an equation such that $m_{12}^2 \tanβ$ is constant, where $m_{12}^2$ is the soft $Z_2$ breaking parameter and $\tanβ$ is the ratio of two vacuum expectation values; (iii) the triple Higgs coupling $λ_{HHh}$ is constant over $\tanβ$ while $λ_{HHH}$ and $λ_{AAH}$ are linearly proportional to $\tanβ$. The double Higgs-strahlung process of $e^+ e^- \to ZHH$ is also studied, of which the total cross section is almost constant with the given $M_H$.
format Preprint
id arxiv_https___arxiv_org_abs_1801_09514
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle Constraints from Heavy Higgs boson masses in the two Higgs doublet model
Cho, Jin-Hwan
Kim, Tae Young
Song, Jeonghyeon
High Energy Physics - Phenomenology
Upon the absence of signals of new physics at the LHC, a reasonable strategy is to assume that new particles are very heavy and the other model parameters are unknown yet. In the aligned two Higgs doublet model, however, heavy Higgs boson masses above 500 GeV enhance some couplings in the scalar potential, which causes a breakdown of the perturbative unitariry in general. Some tuning among model parameters is required. We find that one information on the heavy Higgs boson mass, say $M_H$, has significant theoretical implications: (i) the other heavy Higgs bosons should have similar masses to $M_H$ within $\pm \mathcal{O}(10)\%$; (ii) the inequalities from the theoretical constraints are practically reduced to an equation such that $m_{12}^2 \tanβ$ is constant, where $m_{12}^2$ is the soft $Z_2$ breaking parameter and $\tanβ$ is the ratio of two vacuum expectation values; (iii) the triple Higgs coupling $λ_{HHh}$ is constant over $\tanβ$ while $λ_{HHH}$ and $λ_{AAH}$ are linearly proportional to $\tanβ$. The double Higgs-strahlung process of $e^+ e^- \to ZHH$ is also studied, of which the total cross section is almost constant with the given $M_H$.
title Constraints from Heavy Higgs boson masses in the two Higgs doublet model
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/1801.09514