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

Ahmed Taushif, A. H. Ajjath, Long Chen, Prasanna K. Dhani, Pooja Mukherjee, V. Ravindran
2019 Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)   unpublished
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 bottomquark 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.
more » ... e 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 softvirtual approximation to NNLO and find it three orders of magnitude smaller than that of the s-channel. 14th International Symposium on Radiative Corrections (RADCOR2019) 9-
doi:10.22323/1.375.0010 fatcat:xd2girze6zd2hoh3axbe24muja