Radiative corrections to the process ${\mu }^{+}{\mu }^{-}\to H\gamma$

Abstract

QED radiative corrections to the cross-section of muon-antimuon annihilation into Higgs boson and photon are calculated within the 1-loop approximation. We write down the expression for cross-section in the form of Drell-Yan process, taking into account higher order leading logs. The non-singlet structure functions of fermions are shown to obey here evolution equations of twist-3 operators. Numerical estimation shows an importance of the correction in the region close to the threshold of Higgs production.

Comments: 7 pages, LaTeX2e, 1 PostScript figure, misprints corrected, submitted to Yad. Fiz