Triple-real contribution to the quark beam function in QCD at next-to-next-to-next-to-leading order

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

doi:10.1007/jhep06(2019)033

Cited by 20 publications

(32 citation statements)

References 59 publications

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“…We illustrate our method by computing these quantities through NNLO, up to the second order in the dimensional regularization parameter , confirming recent results in the literature [98][99][100]. These results are necessary input for the calculation of aforementioned beam functions at N 3 LO in QCD, where much progress has been already made for the quark T N beam function [101][102][103], and which has already been achieved for the quark q T beam function and TMDPDF [104]. In our companion papers [105,106], we complete this task by computing the q T and T 0 beam functions in all channels at N 3 LO based on the methods outlined in this article.…”

Section: Jhep09(2020)181supporting

confidence: 81%

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Collinear expansion for color singlet cross sections

Ebert

Mistlberger

Vita

2020

J. High Energ. Phys.

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We demonstrate how to efficiently expand cross sections for color-singlet production at hadron colliders around the kinematic limit of all final state radiation being collinear to one of the incoming hadrons. This expansion is systematically improvable and applicable to a large class of physical observables. We demonstrate the viability of this technique by obtaining the first two terms in the collinear expansion of the rapidity distribution of the gluon fusion Higgs boson production cross section at next-to-next-to leading order (NNLO) in QCD perturbation theory. Furthermore, we illustrate how this technique is used to extract universal building blocks of scattering cross section like the N-jettiness and transverse momentum beam function at NNLO.

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Section: Jhep09(2020)181supporting

confidence: 81%

“…This approach was used in refs. [100][101][102][103], where the required splitting function at N 3 LO was obtained following the method of ref. [205].…”

Section: Comparison To Alternative Methodsmentioning

confidence: 99%

Collinear expansion for color singlet cross sections

Ebert

Mistlberger

Vita

2020

J. High Energ. Phys.

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“…which arises during the rationalization of the differential equations, see Ref. [29]. Curiously, as we will see from the final result, the dependence on x disappears once the complete triple-real emission contribution to the beam function is constructed.…”

Section: Computation Of the Bare 0-jettiness Quark Beam Functionmentioning

confidence: 62%

“…In principle, the required computations are similar to what has already been done in Refs. [28,29] but, due to proliferation of integrals required for multi-quark final states, the calculations have not been finalized.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2019

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We present the matching coefficient for the quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large Nc-approximation, Nc ∼ N f 1. Although several refinements are still needed to make this result interesting for phenomenological applications, our computation shows that a fully-differential description of simple color singlet production processes at a hadron collider at N 3 LO in perturbative QCD is within reach.

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“…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%

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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Triple-real contribution to the quark beam function in QCD at next-to-next-to-next-to-leading order

Cited by 20 publications

References 59 publications

Collinear expansion for color singlet cross sections

Collinear expansion for color singlet cross sections

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

N-jettiness beam functions at N3LO

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