Higgs boson decay into two photons in an electromagnetic background

Preprint number: CP3-Origins-2013-50 DNRF90 and DIAS-2013-50
Author: N. K. Nielsen (CP3-Origins & DIAS)
External link: arXiv.org

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The amplitude for Higgs boson decay into two photons in a homogeneous and time-independent magnetic field is investigated by proper-time regularization in a gauge invariant manner and is found to be singular at large field values. The singularity is caused by the component of the charged vector boson field that is tachyonic in a strong magnetic field. Also tools for the computation of the amplitude in a more general electromagnetic background are developed.