Two-Loop QCD Helicity Amplitudes for Higgs Production Associated with a Vector Boson through Bottom Quark Annihilation

Abstract

We present the two-loop QCD corrections to the amplitude of the Higgs production associated with a $Z$ boson via the bottom quark-antiquark annihilation channel with a non-vanishing bottom-quark Yukawa coupling. The computation is performed by projecting the D-dimensional scattering amplitude directly onto a set of Lorentz structures related to the linear polarisation states of the $Z$ boson. We cross-check the finite remainders through a computation based on conventional form factor decomposition. We show that for physical observables, an ultimate D-dimensional form factor decomposition of amplitudes is not necessary which has a huge potential to simplify a multiloop computation. We compute numerically the resulting cross sections under the soft-virtual approximation to NNLO and find it three orders of magnitude smaller than that of the s-channel.

10 pages, 1 figure, Contribution to the 14th International Symposium on Radiative Corrections (RADCOR2019), 9-13 September 2019, Palais des Papes, Avignon, France

References in corpus (7)

• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• Infrared singularities of scattering amplitudes in perturbative QCD
• Kira - A Feynman Integral Reduction Program
• GoSam-2.0: a tool for automated one-loop calculations within the Standard Model and beyond
• Higher-Order threshold effects to inclusive processes in QCD
• On Sudakov and Soft resummations in QCD
• Drell-Yan Production at Threshold to Third Order in QCD