N-jettiness beam functions at N3LO

Ebert, Markus A.; Mistlberger, Bernhard; Vita, Gherardo

doi:10.1007/jhep09(2020)143

Title: N-jettiness beam functions at N³LO

Journal Article · Tue Sep 22 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep09(2020)143· OSTI ID:1712424

Ebert, Markus A. ^[1]; Mistlberger, Bernhard ^[2]; Vita, Gherardo ^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Stanford Univ., CA (United States)

We present the first complete calculation for the quark and gluon N-jettiness ($$$$ {\mathcal{T}}_N $$$$ T N ) beam functions at next-to-next-to-next-to-leading order (N3LO) in perturbative QCD. Our calculation is based on an expansion of the differential Higgs boson and Drell-Yan production cross sections about their collinear limit. This method allows us to employ cutting edge techniques for the computation of cross sections to extract the universal building blocks in question. The class of functions appearing in the matching coefficents for all channels includes iterated integrals with non-rational kernels, thus going beyond the one of harmonic polylogarithms. Our results are a key step in extending the $$$$ {\mathcal{T}}_N $$$$ T N subtraction methods to N3LO, and to resum $$$$ {\mathcal{T}}_N $$$$ T N distributions at N3LL' accuracy both for quark as well as for gluon initiated processes.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0011090

OSTI ID:: 1712424

Alternate ID(s):: OSTI ID: 1711419

Journal Information:: Journal of High Energy Physics (Online), Vol. 2020, Issue 9; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Title: N-jettiness beam functions at N³LO