Can Baryogenesis Survive in the Standard Model Due To Strong Hypermagnetic Field?

TL;DR

This study investigates whether a strong hypermagnetic field can induce a first-order electroweak phase transition in the Standard Model sufficient for baryogenesis, concluding it does not.

Contribution

It provides a detailed analysis of the electroweak phase transition under hypermagnetic fields within the Standard Model, considering finite temperature effects and actual particle masses.

Findings

First-order transition occurs at hypermagnetic fields around 10^{22}-10^{23} G.

Baryogenesis conditions are not satisfied in these scenarios.

Stronger fields lead to a second-order transition.

Abstract

The electroweak phase transition in a constant hypermagnetic field=A0 is studied in the Standard Model. The symmetry behaviour is investigated within the consistent effective potential of the scalar and magnetic fields at finite temperature. It includes the one-loop and ring diagram contributions. All fundamental fermions and bosons are taken into consideration with their actual masses. The only free parameter is the Higgs boson mass which is chosen to be in the energy interval 75 GeV $\le m_H \le$=A0 115 GeV.=A0 It is found that for the field strengths $H \sim 10^{22}- 10^{23}$G the electroweak phase transition is of first order but a baryogenesis condition is not satisfied. For stronger fields it=A0 becomes of second order. Hence it is concluded that the smooth hypermagnetic field does not generate the strong first order phase transition and the baryogenesis does not survive in the Standard Model. The comparison with the results of other approaches is done.