Response to an External Magnetic Field of the Decay Rate of a Neutral Scalar Field into a Charged Fermion Pair

TL;DR

This paper investigates how a weak magnetic field influences the decay rate of a neutral scalar boson into charged fermions, revealing that the magnetic effect varies with the particle's kinematic conditions.

Contribution

It introduces two approximation methods to analyze the decay process under magnetic fields, covering both low and high transverse momentum regimes.

Findings

Magnetic field effects depend on the scalar particle's kinematics.

Decay width varies with transverse momentum in magnetic fields.

Different analytical approaches are used for low and high momentum limits.

Abstract

In this work we explore the effects of a weak magnetic field on the decay process of a neutral scalar boson into a pair of charged fermions in vacuum. Since the analytical computation of the decay width needs of some approximation, following two different approaches, we study the low and high transverse momentum limits. Our findings indicate that the magnetic field effect depends on the kinematics of the scalar particle.