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Double-real contribution to the quark beam function at N$^{3}$LO QCD
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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 $I_{qq}(t,z)$ of the quark beam function.
Forward citations
Cited by 2 Pith papers
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A Toolbox for $q_T$ and $0$-Jettiness Subtractions at N$^3$LO
The paper provides the complete three-loop singular subtraction terms for qT and 0-jettiness and derives the first threshold predictions for the three-loop beam-function coefficients, later confirmed by direct calculation.
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Generalized Threshold Factorization with Full Collinear Dynamics
The authors derive a generalized threshold factorization theorem for color-singlet hadron-collider processes, valid when only one parton is at large x, and show it outperforms soft threshold factorization.
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