# Analytic Virtual Corrections for Higgs Transverse Momentum Spectrum at $O(\alpha_s^2/m_t^3)$ via Unitarity Methods

## TL;DR

This paper derives analytic expressions for virtual corrections to Higgs plus jet production processes at high order in the strong coupling, incorporating effects from dimension-eight operators within the Higgs Effective Theory.

## Contribution

It introduces a novel analytic calculation of virtual corrections at order /m_t^3 using unitarity methods and spinor-helicity formalism, including dimension-eight operators.

## Key findings

- Enhanced contributions at higher invariant mass
- Explicit analytic formulas for ggHg and qqg amplitudes
- Improved understanding of top-mass effects in Higgs production

## 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.