Quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>approximation

Behring, Arnd; Melnikov, Kirill; Rietkerk, Robbert; Tancredi, Lorenzo; Wever, Christopher

doi:10.1103/physrevd.100.114034

Cited by 26 publications

(32 citation statements)

References 57 publications

(93 reference statements)

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“…[33] using a consistency relation with the threshold soft function [29], and that our results agree with the generalized large-n c approximation n c ∼ n in ref. [49]. Furthermore, we checked that the first four terms in the soft expansion of the Higgs boson production cross section reproduce correctly the collinear limit of the threshold expansion of the partonic cross section obtained for the purpose of refs.…”

Section: Jhep09(2020)143mentioning

confidence: 58%

“…Currently, the quark and gluon T N beam functions are known at NNLO [43][44][45][46], and significant progress has been made towards the calculation at N 3 LO for the quark case [47][48][49]. The soft functions required for T 0,1,2 are known at NNLO [50][51][52][53][54][55][56][57][58].…”

Section: Jhep09(2020)143mentioning

confidence: 99%

“…It is possible to rationalise the square root in A by introducing the variable transformation z → (y + 1) 2 /y as noted in ref. [49] and to rewrite the iterated integrals in terms of Goncharov polylogarithms using well known techniques, see for example refs. [102][103][104][105].…”

Section: Jhep09(2020)143mentioning

confidence: 99%

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N-jettiness beam functions at N3LO

Ebert

Mistlberger

Vita

2020

J. High Energ. Phys.

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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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Section: Jhep09(2020)143mentioning

confidence: 58%

Section: Jhep09(2020)143mentioning

confidence: 99%

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N-jettiness beam functions at N3LO

Ebert

Mistlberger

Vita

2020

J. High Energ. Phys.

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“…Moreover, the hard function H is known through N 3 LO QCD for single vector boson and Higgs boson production [24,25] and, recently, the three-loop quarkto-quark matching coefficient, needed to relate the beam function to parton distribution functions, was computed in the generalized large-N c approximation in Ref. [26]. 1 The computation reported in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…1 The computation reported in Ref. [26] required the knowledge of certain NNLO beam functions through second order in the dimensional regularization parameter . These functions were calculated in Ref.…”

Section: Introductionmentioning

confidence: 99%

NNLO zero-jettiness beam and soft functions to higher orders in the dimensional-regularization parameter $$\epsilon $$

Baranowski

2020

Eur. Phys. J. C

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We present the calculation of the next-to-next-toleading order (NNLO) zero-jettiness beam and soft functions, up to the second order in the expansion in the dimensional regularization parameter. These higher order terms are needed for the computation of the next-to-next-to-next-toleading order (N 3 LO) zero-jettiness soft and beam functions. As a byproduct, we confirm the O 0 results for NNLO beam and soft functions available in the literature by Gaunt et al.

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On phase-space integrals with Heaviside functions

Baranowski

Delto

Melnikov

et al. 2022

J. High Energ. Phys.

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We discuss peculiarities that arise in the computation of real-emission contributions to observables that contain Heaviside functions. A prominent example of such a case is the zero-jettiness soft function in SCET, whose calculation at next-to-next-to-next-to-leading order in perturbative QCD is an interesting problem. Since the zero-jettiness soft function distinguishes between emissions into different hemispheres, its definition involves θ-functions of light-cone components of emitted soft partons. This prevents a direct use of multi-loop methods, based on reverse unitarity, for computing the zero-jettiness soft function in high orders of perturbation theory. We propose a way to bypass this problem and illustrate its effectiveness by computing various non-trivial contributions to the zero-jettiness soft function at NNLO and N3LO in perturbative QCD.

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Quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large-Ncapproximation

Cited by 26 publications

References 57 publications

N-jettiness beam functions at N3LO

N-jettiness beam functions at N3LO

NNLO zero-jettiness beam and soft functions to higher orders in the dimensional-regularization parameter $$\epsilon $$

On phase-space integrals with Heaviside functions

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