Threshold resummation of Drell–Yan rapidity distributions

Bolzoni, Paolo

doi:10.1016/j.physletb.2006.10.064

Cited by 41 publications

(64 citation statements)

References 24 publications

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“…A large and negative NLL resummed correction to the NLO result was claimed in Ref. [6], using the minimal prescription, but we do not confirm it: we find a positive and rather smaller correction. The result of Ref.…”

Section: Tevatron At Fixed Target: Nuseacontrasting

confidence: 96%

“…Indeed, in Ref. [6] threshold resummation has been claimed to affect significantly Drell-Yan production for E866 kinematics, though somewhat different results have been found in Ref. [7].…”

Section: Introductionmentioning

confidence: 90%

“…Threshold resummation of rapidity distributions is based on the observation [25,6] (conjectured in Ref. [24]) that at large z the coefficient function C(z, y) factorizes as…”

Section: Resummationmentioning

confidence: 99%

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Soft gluon resummation of Drell–Yan rapidity distributions: Theory and phenomenology

2011

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We examine critically the theoretical underpinnings and phenomenological implications of soft gluon (threshold) resummation of rapidity distributions at a hadron collider, taking Drell-Yan production at the Tevatron and the LHC as a reference test case. First, we show that in perturbative QCD soft gluon resummation is necessary whenever the partonic (rather the hadronic) center-of-mass energy is close enough to threshold, and we provide tools to assess when resummation is relevant for a given process. Then, we compare different prescriptions for handling the divergent nature of the series of resummed perturbative corrections, specifically the minimal and Borel prescriptions. We assess the intrinsic ambiguities of resummed results, both due to the asymptotic nature of their perturbative expansion, and to the treatment of subleading terms. Turning to phenomenology, we introduce a fast and accurate method for the implementation of resummation with the minimal and Borel prescriptions using an expansion on a basis of Chebyshev polynomials. We then present results for W and Z production as well as both high-and low-mass dilepton pairs at the LHC, and show that soft gluon resummation effects are generally comparable in size to NNLO corrections, but sometimes affected by substantial ambiguities.

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Section: Tevatron At Fixed Target: Nuseacontrasting

confidence: 96%

“…Indeed, in Ref. [6] threshold resummation has been claimed to affect significantly Drell-Yan production for E866 kinematics, though somewhat different results have been found in Ref. [7].…”

Section: Introductionmentioning

confidence: 90%

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Soft gluon resummation of Drell–Yan rapidity distributions: Theory and phenomenology

2011

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“…The resummation of threshold logarithms for Drell-Yan production has been extensively studied [31][32][33][34].…”

Section: B Threshold Resummationmentioning

confidence: 99%

Resummation effects in vector-boson and Higgs associated production

et al. 2012

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Fixed-order QCD radiative corrections to the vector-boson and Higgs associated production channels, pp → V H (V = W ± , Z), at hadron colliders are well understood. We combine higher order perturbative QCD calculations with soft-gluon resummation of both threshold logarithms and logarithms which are important at low transverse momentum of the V H pair. We study the effects of both types of logarithms on the scale dependence of the total cross section and on various kinematic distributions. The next-to-next-to-next-to-leading logarithmic (NNNLL) resummed total cross sections at the LHC are almost identical to the fixed-order perturbative next-to-next-toleading order (NNLO) rates, indicating the excellent convergence of the perturbative QCD series.Resummation of the V H transverse momentum (p T ) spectrum provides reliable results for small values of p T and suggests that implementing a jet-veto will significantly decrease the cross sections.

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“…Resummation of large logarithms for rapidity distribution has been an interesting topic and several results are already available to very good accuracy. In [46] the authors have studied resummation of rapidity W ± in Mellin-Fourier (M-F) space following a conjecture (see [44]) and later on same approach was used for Drell-Yan production in [47]. A more detailed study in the context of W ± productions as well as production of a pair of leptons was undertaken in [51] emphasising the role of prescriptions that take care of diverging series at a given logarithmic accuracy.…”

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confidence: 99%

Threshold resummation of the rapidity distribution for Drell-Yan production at NNLO+NNLL

et al. 2018

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We consider the production of pairs of lepton through the Drell-Yan process at the LHC and present the most accurate prediction on their rapidity distribution. While the fixed order prediction is already known to next-to-next-to-leading order in perturbative QCD, the resummed contribution coming from threshold region of phase space up to next-to-next-to-leading logarithmic (NNLL) accuracy has been computed in this article. The formalism developed in [1-3] has been used to resum large threshold logarithms in the two dimensional Mellin space to all orders in perturbation theory. We have done a detailed numerical comparison against other approaches that resum certain threshold logarithms in Mellin-Fourier space. Our predictions at NNLL level are close to theirs even though at leading logarithmic and next-to-leading logarithmic level we differ. We have also investigated the impact of these threshold logarithms on the stability of perturbation theory against factorisation and renormalisation scales. While the dependence on these scales does not get better with resummed results, the convergence of the perturbative series shows a better trend compared to the fixed order predictions. This is evident from the reduction in the K-factor for the resummed case compared to fixed order. We also present the uncertainties on the predictions resulting from parton distribution functions.

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Threshold resummation of Drell–Yan rapidity distributions

Cited by 41 publications

References 24 publications

Soft gluon resummation of Drell–Yan rapidity distributions: Theory and phenomenology

Soft gluon resummation of Drell–Yan rapidity distributions: Theory and phenomenology

Resummation effects in vector-boson and Higgs associated production

Threshold resummation of the rapidity distribution for Drell-Yan production at NNLO+NNLL

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