Article

# Radiative corrections to electroweak parameters in the Higgs triplet model and implication with the recent Higgs boson searches

01/2012;
Source: arXiv

ABSTRACT We study radiative corrections to the electroweak parameters in the Higgs
model with the Y=1 triplet field, which is introduced in the scenario of
generating neutrino masses based on the so-called type II seesaw mechanism. In
this model, the rho parameter deviates from unity at the tree level.
Consequently, the electroweak sector of the model is described by the four
input parameters such as $\alpha_{\text{em}}$, $G_F$, $m_Z$ and
$\sin^2\theta_W$. We calculate the one loop contribution to the W boson mass as
well as to the rho parameter in order to clarify the possible mass spectrum of
the extra Higgs bosons under the constraint from the electroweak precision
data. We find that the hierarchical mass spectrum among $H^{\pm\pm}$, $H^{\pm}$
and $A$ (or $H$) is favored by the precision data especially for the case of
$m_A$ $(\simeq m_H)>m_{H^+}>m_{H^{++}}$, where $H^{\pm\pm}$, $H^{\pm}$, $A$ and
$H$ are the doubly-charged, singly-charged, CP-odd and CP-even Higgs bosons
mainly originated from the triplet field. We also discuss phenomenological
consequences of such a mass spectrum with relatively large mass splitting. The
decay rate of the Higgs boson decay into two photons is evaluated under the
constraint from the electroweak precision data, regarding the recent Higgs
boson searches at the CERN LHC.

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### Keywords

CP-even Higgs bosons

decay rate

electroweak parameters

electroweak precision data

electroweak sector

extra Higgs bosons

hierarchical mass spectrum

Higgs boson decay

large mass splitting

mass spectrum

neutrino masses

one loop contribution

possible mass spectrum

precision data

rho parameter

rho parameter deviates

so-called type II seesaw mechanism

tree level

triplet field

W boson mass