Constant terms in threshold resummation and the quark form factor

Friot, Samuel; Grunberg, G.

doi:10.1088/1126-6708/2007/09/002

Cited by 12 publications

(3 citation statements)

References 31 publications

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“…As a consequence, these contributions have been recently studied in some detail: Ref. [27] showed how ξ-independent terms completely exponentiate for simple color-singlet QCD cross-sections (see also [28,29]); subsequently, Ref. [30] proposed a modification of collinear evolution equations that allows the exponentiation of a subset of NLT terms; this was exploited in Ref.…”

Section: Introductionmentioning

confidence: 99%

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

Laenen

Magnea

Stavenga

et al. 2011

J. High Energ. Phys.

152

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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Section: Introductionmentioning

confidence: 99%

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

Laenen

Magnea

Stavenga

et al. 2011

J. High Energ. Phys.

152

216

View full text Add to dashboard Cite

show abstract

“…Eq. ( 3) has been checked [4] to O(α 4 s ). For the short distance Drell-Yan cross section, the analogue of ( 3…”

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confidence: 99%

Dispersive approach in Sudakov resummation

Grunberg¹

2007

AIP Conference Proceedings

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The dispersive approach to power corrections is given a precise implementation, valid beyond single gluon exchange, in the framework of Sudakov resummation for deep inelastic scattering and the Drell-Yan process. It is shown that the assumption of infrared finite Sudakov effective couplings implies the universality of the corresponding infrared fixed points. This property is closely tied to the universality of the virtual contributions to space-like and time-like processes, encapsulated in the second logarithmic derivative of the quark form factor.Comment: 3 pages, talk given at Quark Confinement and the Hadron Spectrum 7, Ponta Delgada, Azores, Portugal, 2-7 Sep 2006, LaTeX, uses aip-6s.clo, aipproc.cls and aipxfm.sty (included

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“…Eq. ( 7) has been checked [8] to O(a 4 s ). Further checks to all orders at large N f are under consideration.…”

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confidence: 99%

Infrared finite coupling in Sudakov resummation: The precise set-up

Grunberg¹

2006

Phys. Rev. D

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I show that Sudakov resummation takes a transparent form if one deals with the second logarithmic derivative of the short distance coefficient functions for deep inelastic scattering and the Drell-Yan process. A uniquely defined Sudakov exponent emerges, and the constant terms not included in the exponent are conjectured to be given by the second logarithmic derivative of the massless quark form factor. The precise framework for the implementation of the dispersive approach to power corrections is set-up, yielding results in agreement with infrared renormalon expectations, but which are not tied to the single (dressed) gluon exchange approximation. Indications for a Banks-Zaks type of perturbative fixed point in the Sudakov effective coupling at low N f are pointed out. Existence of a fixed point in the Sudakov coupling is argued to imply its universality.

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Constant terms in threshold resummation and the quark form factor

Cited by 12 publications

References 31 publications

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

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

Dispersive approach in Sudakov resummation

Infrared finite coupling in Sudakov resummation: The precise set-up

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