Higher-order predictions from physical evolution kernels

Vogt, A.; Moch, S.; Vermaseren, J.A.M.; Soar, G.

doi:10.22323/1.092.0053

Cited by 4 publications

(6 citation statements)

References 22 publications

(47 reference statements)

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“…A closer look, see also Ref. [36] for an introductory overview, reveals that the third-order coefficient functions are sufficient to fix the coefficients of the highest three logarithms in Eq. (1.4) for (the non-singlet components of) C a,q .…”

Section: Pos(ll2012)004mentioning

confidence: 97%

Recent higher-order results in perturbative QCD

Vogt¹,

Kom²,

Presti³

et al. 2013

Proceedings of “Loops and Legs in Quantum Field Theory ” 11th DESY Workshop on Elementary Particle Physics — PoS(LL2012)

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Over the past few years considerable progress has been made on the resummation of doublelogarithmically enhanced threshold (large-x) and high-energy (small-x) higher-order contributions to the splitting functions for parton and fragmentation distributions and to the coefficient functions for inclusive deep-inelastic scattering and semi-inclusive e + e − annihilation. We present an overview of the methods which allow, in many cases, to derive the coefficients of the highest three logarithms at all orders in the strong coupling α s from next-to-next-to-leading order results in massless perturbative QCD. Some representative analytical and numerical results are shown, and the present limitations of these resummations are discussed.

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Section: Pos(ll2012)004mentioning

confidence: 97%

Recent higher-order results in perturbative QCD

Vogt¹,

Kom²,

Presti³

et al. 2013

Proceedings of “Loops and Legs in Quantum Field Theory ” 11th DESY Workshop on Elementary Particle Physics — PoS(LL2012)

Self Cite

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“…[34] to propose an ansatz for NLT Sudakov resummation for color-singlet QCD cross sections, that was shown to reproduce the bulk of these contributions through NNLO. Other studies [35][36][37][38][39][40][41] have uncovered intriguing relations between the coefficients of NLT contributions in finite order calculations, and have proposed all-order generalizations.…”

Section: Jhep01(2011)141mentioning

confidence: 99%

“…(3.22) for NE ′ (g(l)) to recognise that 38) JHEP01 (2011)141 while in the second term we have used the fact that…”

Section: Jhep01(2011)141mentioning

confidence: 99%

Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach

Laenen

Magnea

Stavenga

et al. 2011

J. High Energ. Phys.

151

216

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Abstract:We consider the problem of soft gluon resummation for gauge theory amplitudes and cross sections, at next-to-eikonal order, using a Feynman diagram approach. At the amplitude level, we prove exponentiation for the set of factorizable contributions, and construct effective Feynman rules which can be used to compute next-to-eikonal emissions directly in the logarithm of the amplitude, finding agreement with earlier results obtained using path-integral methods. For cross sections, we also consider sub-eikonal corrections to the phase space for multiple soft-gluon emissions, which contribute to next-to-eikonal logarithms. To clarify the discussion, we examine a class of log(1 − x) terms in the Drell-Yan cross-section up to two loops. Our results are the first steps towards a systematic generalization of threshold resummations to next-to-leading power in the threshold expansion.

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“…[17] and their extension to the non-leading corrections for C 2,q and other quantities at all orders in (1−x) [18], see Ref. [19] for a brief summary, have been obtained by studying the non-singlet physical evolution kernels for the respective observables. It is thus natural to study also flavour-singlet physical kernels.…”

Section: Physical Evolution Kernel For (F 2 F φ )mentioning

confidence: 99%

On higher-order flavour-singlet splitting and coefficient functions at large x

Vogt

Soar

Moch

et al. 2010

Nuclear Physics B - Proceedings Supplements

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We discuss the large-x behaviour of the splitting functions Pqg and Pgq and of flavour-singlet coefficient functions, such as the gluon contributions C2,g and CL,g to the structure functions F2,L, in massless perturbative QCD. These quantities are suppressed by one or two powers of (1−x) with respect to the (1−x) −1 terms which are the subject of the well-known threshold exponentiation. We show that the double-logarithmic contributions to Pqg, Pgq and CL at order α 4 s can be predicted from known third-order results and present, as a first step towards a full all-order generalization, the leading-logarithmic large-x behaviour of Pqg, Pgq and C2,g at all orders in αs.

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Higher-order predictions from physical evolution kernels

Cited by 4 publications

References 22 publications

Recent higher-order results in perturbative QCD

Recent higher-order results in perturbative QCD

Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach

On higher-order flavour-singlet splitting and coefficient functions at large x

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