Radiative corrections to the lineshape of a heavy Higgs boson at muon colliders

Abstract

We study the NNLO radiative corrections of enhanced electroweak strength to the lineshape of the Higgs boson in the processes (${\mu }^{+}{\mu }^{-}\to H\to ZZ$) and (${\mu }^{+}{\mu }^{-}\to H\to t\bar{t}$), which are of interest for Higgs searches at a possible muon collider. We give the radiative corrections both in the on-shell renormalization scheme and in the pole renormalization scheme. The pole scheme appears to have better convergence properties, in agreement with previous results regarding the position of the Higgs pole in the complex plane.

9 pages LaTex, 3 eps figures included

Cited by in corpus (10)

• Differences Between the Pole and On-Shell Masses and Widths of the Higgs Boson
• Nonperturbative Higgs propagator: NLO correction in the 1/N expansion
• NLO correction to Higgs boson parameters in the 1/N expansion
• CP violation through particle mixing and the H-A lineshape
• Testing nonperturbative techniques in the scalar sector of the standard model
• The Higgs resonance in vector boson scattering
• Resummed corrections to the ρparameter due to a finite width of the top quark
• Nonperturbative three-point functions of the O(N) sigma model in the 1/N expansion at NLO
• Resummed corrections to the ρparameter in the complex mass scheme
• Heavy top renormalon contribution to fermion propagators