N-jettiness beam functions at N3LO
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13130_2020_Article_13845.pdf
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Author(s)
Ebert, Markus A
Mistlberger, Bernhard
Vita, Gherardo
Date Issued
September 22, 2020
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2020 Sep 22;2020(9):143
Version
Final published version
Abstract
Abstract
We present the first complete calculation for the quark and gluon N-jettiness (
T
N
$$ {\mathcal{T}}_N $$
) beam functions at next-to-next-to-next-to-leading order (N3LO) 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
T
N
$$ {\mathcal{T}}_N $$
subtraction methods to N3LO, and to resum
T
N
$$ {\mathcal{T}}_N $$
distributions at N3LL′ accuracy both for quark as well as for gluon initiated processes.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP09(2020)143
