Full-colour double-virtual amplitudes for associated production of a Higgs boson with a bottom-quark pair at the LHC
Simon Badger, Heribertus Bayu Hartanto, René Poncelet, Zihao Wu, Yang Zhang, Simone Zoia
Abstract
A bstract We present the double-virtual amplitudes contributing to the production of a Higgs boson in association with a $$ b\overline{b} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>b</mml:mi> <mml:mover> <mml:mi>b</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> pair at the Large Hadron Collider. We perform the computation within the five-flavour scheme, which employs massless bottom quarks and finite bottom-Yukawa coupling, taking into account all the colour structures. We derive the analytic form of the helicity amplitudes through finite-field reconstruction techniques. The analytic expressions have been implemented in a public C++ library, and we demonstrate that evaluations are sufficiently stable and efficient for use in phenomenological studies.