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.
Highlights
The Standard Model (SM) [1] is a full relativistic quantum field theory and it combines the electro-weak and strong interactions based on the local SU(3)C × SU(2)L × U(1)Y gauge group
For the upper bound of Higgs self coupling, i.e. λL ∼ 0.881, the corresponding upper bound on Higgs mass comes out to be 229.48 GeV, i.e
On the basis of the above studies, I come to the following conclusions: 1) The upper bound of Higgs self coupling constant is λ ≤ 0.881, and the corresponding upper bound on
Summary
The Standard Model (SM) [1] is a full relativistic quantum field theory and it combines the electro-weak and strong interactions based on the local SU(3)C × SU(2)L × U(1)Y gauge group. The Higgs mechanism has been introduced in order to give masses to fermions and gauge bosons without violating gauge principles. The introduction of a weak isodoublet of scalar fields gives rise to a physical particle, the Higgs boson. The self-interaction of the scalar field leads to a non-zero field strength in the ground state. Through the interaction with the non-zero Higgs field in the ground state, the electro-weak gauge bosons and the fundamental matter particles acquire their masses. The Higgs boson gives the mechanism by which the particles can acquire mass. To confirm these ideas more rigorously it is important to find first hand evidence for the Higgs field. We still have only vague ideas and speculations about the properties of Higgs, which is a hypothetical particle, and the search for
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