Double-real contribution to the quark beam function at N$^{3}$LO QCD
Kirill Melnikov, Robbert Rietkerk, Lorenzo Tancredi, Christopher, Wever

TL;DR
This paper calculates the double-real emission contributions to the quark beam function at N$^{3}$LO in QCD, providing essential integrals for precise theoretical predictions in high-energy physics.
Contribution
It introduces the computation of master integrals for double-real emissions at N$^{3}$LO, advancing the accuracy of quark beam function calculations.
Findings
Derived the double-real gluon emission contribution to the quark beam function.
Provided master integrals necessary for N$^{3}$LO calculations.
Enhanced precision in perturbative QCD predictions.
Abstract
We compute the master integrals required for the calculation of the double-real emission contributions to the matching coefficients of 0-jettiness beam functions at next-to-next-to-next-to-leading order in perturbative QCD. As an application, we combine these integrals and derive the double-real gluon emission contribution to the matching coefficient of the quark beam function.
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