N-jettiness beam functions at N3LO

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 c...

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Main Authors: Markus A. Ebert, Bernhard Mistlberger, Gherardo Vita
Format: Article
Language:English
Published: SpringerOpen 2020-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP09(2020)143
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author Markus A. Ebert
Bernhard Mistlberger
Gherardo Vita
author_facet Markus A. Ebert
Bernhard Mistlberger
Gherardo Vita
author_sort Markus A. Ebert
collection DOAJ
description 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.
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spelling doaj.art-17cac3d9dfb24de5bb506357cbcff18c2022-12-22T01:53:02ZengSpringerOpenJournal of High Energy Physics1029-84792020-09-012020912210.1007/JHEP09(2020)143N-jettiness beam functions at N3LOMarkus A. Ebert0Bernhard Mistlberger1Gherardo Vita2Center for Theoretical Physics, Massachusetts Institute of TechnologySLAC National Accelerator Laboratory, Stanford UniversityCenter for Theoretical Physics, Massachusetts Institute of TechnologyAbstract 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.http://link.springer.com/article/10.1007/JHEP09(2020)143Perturbative QCDResummation
spellingShingle Markus A. Ebert
Bernhard Mistlberger
Gherardo Vita
N-jettiness beam functions at N3LO
Journal of High Energy Physics
Perturbative QCD
Resummation
title N-jettiness beam functions at N3LO
title_full N-jettiness beam functions at N3LO
title_fullStr N-jettiness beam functions at N3LO
title_full_unstemmed N-jettiness beam functions at N3LO
title_short N-jettiness beam functions at N3LO
title_sort n jettiness beam functions at n3lo
topic Perturbative QCD
Resummation
url http://link.springer.com/article/10.1007/JHEP09(2020)143
work_keys_str_mv AT markusaebert njettinessbeamfunctionsatn3lo
AT bernhardmistlberger njettinessbeamfunctionsatn3lo
AT gherardovita njettinessbeamfunctionsatn3lo