Quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large-$N_c$ approximation

Abstract

We present the matching coefficient for the quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large $N_c$-approximation, $N_c\sim N_f\gg 1$. Although several refinements are still needed to make this result interesting for phenomenological applications, our computation shows that a fully-differential description of simple color singlet production processes at a hadron collider at N${}^3$LO in perturbative QCD is within reach.

10 pages, 1 figure

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Cited by in corpus (11)

• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Precision boson-jet azimuthal decorrelation at hadron colliders
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• NNLO zero-jettiness beam and soft functions to higher orders in the dimensional-regularization parameter $\epsilon$
• Beam functions for $N$-jettiness at N${}^3$LO in perturbative QCD
• Collinear functions for QCD resummations
• Zero-jettiness soft function to third order in perturbative QCD
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• N${}^3$LL + $\mathcal{O}({\alpha }_s^2)$ predictions of lepton-jet azimuthal angular distribution in deep-inelastic scattering
• Transverse momentum dependent distribution functions in the threshold limit
• QCD Beyond Leading Power