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N-jettiness beam functions at N3LO
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abstract
We present the first complete calculation for the quark and gluon $N$-jettiness ($\Tau_N$) beam functions at next-to-next-to-next-to-leading order (N$^3$LO) in perturbative QCD. Our calculation is based on an expansion of the differential Higgs boson and Drell-Yan production cross sections about their collinear limit. This method allows us to employ cutting edge techniques for the computation of cross sections to extract the universal building blocks in question. The class of functions appearing in the matching coefficents for all channels includes iterated integrals with non-rational kernels, thus going beyond the one of harmonic polylogarithms. Our results are a key step in extending the $\Tau_N$ subtraction methods to N$^3$LO, and to resum $\Tau_N$ distributions at N$^3$LL$^\prime$ accuracy both for quark as well as for gluon initiated processes.
Forward citations
Cited by 5 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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Drell-Yan Transverse-Momentum Spectra at N$^3$LL$'$ and Approximate N$^4$LL with SCETlib
State-of-the-art LHC predictions for W/Z transverse momentum spectra at N3LL' and approximate N4LL accuracy, with a rigorous reduction of nonperturbative TMD physics to one effective function per process.
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The Quark Jet Function for $k_T$-like Variables in NNLO QCD
The authors compute the quark jet function at next-to-next-to-leading order in QCD for a class of kT-like resolution variables, giving explicit numerical coefficients for a y23 variant in the E-scheme and WTA scheme.
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Region analysis of $H\to \gamma \gamma $ via a bottom quark loop
A two-loop region analysis of H to gamma gamma via a bottom quark loop shows that with a Delta regulator and a transverse momentum cut, the leading and next-to-leading logarithms come entirely from the soft sector.
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Triple real-emission contribution to the zero-jettiness soft function at N3LO in QCD
The paper provides the technical derivation and cross-checks of the triple-real-emission piece of the N3LO zero-jettiness soft function, confirming the result announced in arXiv:2409.11042.
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