TL;DR
This paper presents advanced computational methods for calculating the Higgs boson production cross section at N$^3$LO, including novel integrals and contributions from different initial quark flavors.
Contribution
It introduces exact calculation techniques for Higgs production at N$^3$LO, incorporating new iterated integrals and addressing contributions from diverse initial quark flavors.
Findings
Exact N$^3$LO Higgs cross section calculation
Introduction of new iterated integrals including Harmonic Polylogarithms
Analysis of contributions from different flavor quark pairs
Abstract
We discuss methods for the calculation of the total partonic Higgs boson production cross section via gluon fusion and the result for the contribution that stems from two quarks of different flavor in the initial state. Our calculation is exact in the Higgs boson mass and the partonic center-of-mass energy. The result is expressed in terms of iterated integrals, some of which are Harmonic Polylogarithms, whereas others are new iterated integrals. We comment on the methods relevant for the reduction to scalar integrals and new types of function that appear in the final result.
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