Analytic Virtual Corrections for Higgs Transverse Momentum Spectrum at $O({\alpha }_s^2/m_t^3)$ via Unitarity Methods

Abstract

Utilizing the Higgs Effective Theory, including dimension eight operators, in conjuction with spinor-helicity and unitarity methods, I present analytic expressions for the virtual corrections for $gg\to Hg$ and $q\overline{q}\to Hg$ amplitudes at order ${\alpha }_s^2/m_t^3$. These contributions become enhanced as the invariant final state mass increases.