TITLE:
An Upper Bound on the Higgs Self-Coupling and Higgs Boson Mass from the Positivity Condition of the Mass Matrix
AUTHORS:
Partha Pratim Pal
KEYWORDS:
One-Loop Effective Potential, Standard Model, Mass Matrix, Higgs Boson Mass
JOURNAL NAME:
Journal of Modern Physics,
Vol.6 No.4,
March
17,
2015
ABSTRACT: The
actual value of Higgs boson mass is difficult to determine theoretically due to
lack of knowledge on the exact value of Higgs self coupling constant l.
The purpose of this paper is to obtain an upper bound on the Higgs mass in the
Standard Model on the basis of one-loop effective potential in the ’t Hooft-Landau
gauge and MS scheme. The condition of positivity of mass matrix at ф= ф0 (where ф0 is the absolute
minimum of the effective potential) of the scalar field gives an upper bound on
the Higgs self coupling as l ≤ 0.881. This condition yields an upper bound
on the Higgs mass as mH ≤ 229.48
GeV.