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Conference Paper

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

MPS-Authors

Ahmed,  Taushif
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Ajjath,  A.H.
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Chen,  Long
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Dhani,  Prasanna K.
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Mukherjee,  Pooja
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Ravindran,  V.
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

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https://publications.mppmu.mpg.de/2019/MPP-2019-246/FullText.pdf
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Citation

Ahmed, T., Ajjath, A., Chen, L., Dhani, P. K., Mukherjee, P., & Ravindran, V. (2019). Two-Loop QCD Helicity Amplitudes for Higgs Production Associated with a Vector Boson through Bottom Quark Annihilation. Proceedings of Science, 010.


Cite as: https://hdl.handle.net/21.11116/0000-0005-D6CF-1
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.