Evolution of parton densities beyond leading order

Curci, G; Furmański, W.; Petronzio, R.

doi:10.1016/0550-3213(80)90003-6

Cited by 955 publications

(1,258 citation statements)

References 28 publications

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“…In the MS scheme the results can be read from [77,78]. At the level of two loops also P N S qq , P S qq , P S qq are nonvanishing so that the degeneracy of the quark splitting functions is lifted.…”

Section: Expansion In Powers Of α Smentioning

confidence: 99%

Collinear and TMD quark and gluon densities from parton branching solution of QCD evolution equations

Hautmann

Jung

Žlebčík

et al. 2018

J. High Energ. Phys.

112

115

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We study parton-branching solutions of QCD evolution equations and present a method to construct both collinear and transverse momentum dependent (TMD) parton densities from this approach. We work with next-to-leading-order (NLO) accuracy in the strong coupling. Using the unitarity picture in terms of resolvable and non-resolvable branchings, we analyze the role of the soft-gluon resolution scale in the evolution equations. For longitudinal momentum distributions, we find agreement of our numerical calculations with existing evolution programs at the level of better than 1% over a range of five orders of magnitude both in evolution scale and in longitudinal momentum fraction. We make predictions for the evolution of transverse momentum distributions. We perform fits to the high-precision deep inelastic scattering (DIS) structure function measurements, and we present a set of NLO TMD distributions based on the parton branching approach.

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Section: Expansion In Powers Of α Smentioning

confidence: 99%

Collinear and TMD quark and gluon densities from parton branching solution of QCD evolution equations

Hautmann

Jung

Žlebčík

et al. 2018

J. High Energ. Phys.

112

115

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“…where B (2) δ , the two-loop virtual part of the non-singlet quark-quark splitting function [31,32], is given by…”

Section: Real Emission Contributionsmentioning

confidence: 99%

Exponentiation of the Drell-Yan cross section near partonic threshold in the DIS and MS-bar schemes

Eynck

Laenen

Magnea

2003

J. High Energy Phys.

132

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It has been observed that in the DIS scheme the refactorization of the DrellYan cross section leading to exponentiation of threshold logarithms can also be used to organize a class of constant terms, most of which arise from the ratio of the timelike Sudakov form factor to its spacelike counterpart. We extend this exponentiation to include all constant terms, and demonstrate how a similar organization may be achieved in the MS scheme. We study the relevance of these exponentiations in a two-loop analysis.

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“…At two loops, the relevant DIS information can be extracted from [16,17], while the second order coefficient of the function G(α s ) was computed in [14]. The finiteness of eq.…”

Section: Ew Annihilation and Dismentioning

confidence: 99%

Refining threshold resummations

Laenen

Magnea

2006

Nuclear Physics B - Proceedings Supplements

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We describe some recent refinements of the techniques of threshold resummation, with emphasis on the usefulness of dimensional regularization when applied to nonabelian exponentiation. Threshold resummation is now under theoretical control for DIS and electroweak annihilation cross sections all the way to the fourth tower of logarithms and up to corrections suppressed by powers of the threshold variable.

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Evolution of parton densities beyond leading order

Cited by 955 publications

References 28 publications

Collinear and TMD quark and gluon densities from parton branching solution of QCD evolution equations

Collinear and TMD quark and gluon densities from parton branching solution of QCD evolution equations

Exponentiation of the Drell-Yan cross section near partonic threshold in the DIS and MS-bar schemes

Refining threshold resummations

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