Hidden Analytic Structure of Higgs Amplitudes and Maximal Transcendentality Principle

TL;DR

This paper computes two-loop Higgs amplitudes with dimension-seven operators, revealing a hidden analytic structure and extending the maximal transcendentality principle to more complex Higgs processes.

Contribution

It introduces a novel computation method combining unitarity cut and integration by parts, and uncovers hidden structures in Higgs amplitudes beyond maximal transcendentality.

Findings

QCD and N=4 SYM share leading transcendental parts

Maximal transcendentality principle extends to high-dimension operators

Reveals hidden structures in lower transcendental parts

Abstract

We present the computation of two-loop Higgs plus three-parton amplitudes with dimension-seven operators in Higgs effective field theory. The computation is based on the combination of unitarity cut and integration by parts methods in an unconventional way. The analytic results take remarkably simple form. In particular, the results show that the QCD and N=4 SYM results share the same leading transcendental parts. This generalizes the so-call maximal transcendentality principle to the Higgs amplitudes with high dimension operators and also with fundamental external quark states. Further simplicity also exists in lower transcendental parts, suggesting hidden structures beyond maximal transcendentality.