The interplay between Sudakov resummation, renormalons and higher twist in deep inelastic scattering

Gardi, Einan

doi:10.1016/s0550-3213(03)00035-x

Cited by 46 publications

(41 citation statements)

References 71 publications

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“…(3.8) are easily understood: the collinear ingredient is identical (with c replaced by t), while the large-angle soft emission ingredient is different. In fact, replacing c by 1 − x, the collinear ingredient coincides with the large-β 0 expression [38] for the jet function [7][8][9] which controls the large-x limit in single-particle inclusive cross-sections in e + e − annihilation [38,50], as well as for structure functions near the elastic limit [48,49]. This object describes the radiation from an unobserved jet under a restriction on its invariant mass.…”

Section: The Sudakov Exponentmentioning

confidence: 94%

“…(3.12) has renormalon singularities. The appearance of infrared renormalons as a consequence of taking a Laplace or a Mellin transform is characteristic of differential cross-sections near a kinematic threshold [36,38,49,50]. In Eq.…”

Section: The Sudakov Exponentmentioning

confidence: 99%

“…Note that the combination of Sudakov effects with parametrically enhanced power corrections is definitely not unique to event-shape distributions. It appears whenever differential cross sections in QCD are evaluated near a kinematic threshold; other important examples are Drell-Yan production near the energy threshold [19,32], structure functions near the elastic limit (Bjorken x close to 1) [48,49], and fragmentation functions of light [30,38] and heavy quarks [50] near z = 1. In spite of the different nature of these processes, certain characteristics of the perturbative expansion are generic [38], and similar techniques are applicable in all cases.…”

Section: Introductionmentioning

confidence: 99%

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TheCparameter distribution ine⁺e⁻annihilation

Gardi

Magnea

2003

J. High Energy Phys.

115

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Abstract:We study perturbative and non-perturbative aspects of the distribution of the C parameter in e + e − annihilation using renormalon techniques. We perform an exact calculation of the characteristic function, corresponding to the C parameter differential cross section for a single off-shell gluon. We then concentrate on the two-jet region, derive the Borel representation of the Sudakov exponent in the large-β 0 limit and compare the result to that of the thrust T . Analysing the exponent, we distinguish two ingredients: the jet function, depending on Q 2 C, summarizing the effects of collinear radiation, and a function describing soft emission at large angles, with momenta of order QC. The former is the same as for the thrust upon scaling C by 1/6, whereas the latter is different. We verify that the rescaled C distribution coincides with that of 1− T to next-to-leading logarithmic accuracy, as predicted by Catani and Webber, and demonstrate that this relation breaks down beyond this order owing to soft radiation at large angles. The pattern of power corrections is also similar to that of the thrust: corrections appear as odd powers of Λ/(QC). Based on the size of the renormalon ambiguity, however, the shape function is different: subleading power corrections for the C distribution appear to be significantly smaller than those for the thrust.

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Section: The Sudakov Exponentmentioning

confidence: 94%

Section: The Sudakov Exponentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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TheCparameter distribution ine⁺e⁻annihilation

Gardi

Magnea

2003

J. High Energy Phys.

115

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“…(3.18) is the same as in Eq. (2.15): a non-trivial statement, due to the fact that such a function, summarizing wide angle soft radiation, can be taken to vanish in the threshold-resummed deep-inelastic structure function [15,25,26,27].…”

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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“…The definitions of z and ξ E are given in Eqs. (48) and (46). The listed coefficient functions are related bŷ…”

Section: Appendix B: Sia Coefficient Functionsmentioning

confidence: 99%

Interplay of threshold resummation and hadron mass corrections in deep inelastic processes

2015

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We discuss hadron mass corrections and threshold resummation for deep-inelastic scattering ℓN → ℓ ′ X and semi-inclusive annihilation e + e − → hX processes, and provide a prescription how to consistently combine these two corrections respecting all kinematic thresholds. We find an interesting interplay between threshold resummation and target mass corrections for deep-inelastic scattering at large values of Bjorken xB. In semi-inclusive annihilation, on the contrary, the two considered corrections are relevant in different kinematic regions and do not affect each other. A detailed analysis is nonetheless of interest in the light of recent high precision data from BaBar and Belle on pion and kaon production, with which we compare our calculations. For both deep inelastic scattering and single inclusive annihilation, the size of the combined corrections compared to the precision of world data is shown to be large. Therefore, we conclude that these theoretical corrections are relevant for global QCD fits in order to extract precise parton distributions at large Bjorken xB, and fragmentation functions over the whole kinematic range.

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The interplay between Sudakov resummation, renormalons and higher twist in deep inelastic scattering

Cited by 46 publications

References 71 publications

TheCparameter distribution ine⁺e⁻annihilation

TheCparameter distribution ine⁺e⁻annihilation

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

Interplay of threshold resummation and hadron mass corrections in deep inelastic processes

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The interplay between Sudakov resummation, renormalons and higher twist in deep inelastic scattering

Cited by 46 publications

References 71 publications

TheCparameter distribution ine+e−annihilation

TheCparameter distribution ine+e−annihilation

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

Interplay of threshold resummation and hadron mass corrections in deep inelastic processes

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TheCparameter distribution ine⁺e⁻annihilation

TheCparameter distribution ine⁺e⁻annihilation