Interaction field strength between a scalar particle and two massless vector bosons in the presence of an external magnetic field

Le résumé fourni par la source

In this work, we study the interaction strength among a neutral scalar boson and two massless vector bosons in the presence of an external magnetic field. Based on global symmetries, we build the general tensor structure amplitude ${\mathcal{M}}^{\ensuremath{\mu}\ensuremath{\nu}}$ for the process ${V}^{\ensuremath{\mu}}+{V}^{\ensuremath{\nu}}\ensuremath{\rightarrow}\ensuremath{\phi}$ in terms of the vector boson polarization states. Then, we present a novel methodology to compute the one-loop amplitude contributions for a homogeneous magnetic field with arbitrary strength. With the obtained results expressed in terms of integrals over the Schwinger parameters, we explore its behavior in two regions widely used in the literature: the strong and weak field strength regions. The methodology presented in this work can be employed to compute an arbitrary process in the presence of an external magnetic field where the initial and final states are neutral.

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