Next-to-leading power threshold effects for inclusive and exclusive processes with final state jets

Beekveld, Melissa van; Beenakker, W.; Laenen, Eric; White, Chris D.

doi:10.1007/jhep03(2020)106

Cited by 37 publications

(28 citation statements)

References 110 publications

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“…The origin of these terms can be traced back both to the scattering amplitudes, evaluated at phase-space boundaries, and to the phase space itself. Thus, several papers have tackled the study of power corrections in the soft and collinear limits [32][33][34], while studies in the general framework of fixed-order and threshold-resummed computations have also been performed [35][36][37][38][39][40][41][42].…”

Section: Contentsmentioning

confidence: 99%

Higher-order power corrections in a transverse-momentum cut for colour-singlet production at NLO

2019

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We consider the production of a colourless system at next-to-leading order in the strong coupling constant α S . We impose a transverse-momentum cutoff, q cut T , on the colourless final state and we compute the power corrections for the inclusive cross section in the cutoff, up to the fourth power.The study of the dependence of the cross section on q cut T allows for an understanding of its behaviour at the boundaries of the phase space, giving hints on the structure at all orders in α S and on the identification of universal patterns. The knowledge of such power corrections is also a required ingredient in order to reduce the dependence on the transverse-momentum cutoff of the QCD cross sections at higher orders, when the q Tsubtraction method is applied.We present analytic results for both Drell-Yan vector boson and Higgs boson production in gluon fusion and we illustrate a process-independent procedure for the calculation of the all-order power corrections in the cutoff. In order to show the impact of the power-correction terms, we present selected numerical results and discuss how the residual dependence on q cut T affects the total cross section for Drell-Yan Z production and Higgs boson production via gluon fusion at the LHC.

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Section: Contentsmentioning

confidence: 99%

Higher-order power corrections in a transverse-momentum cut for colour-singlet production at NLO

2019

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“…By including the off-diagonal components of the splitting functions, one allows for the emission of (soft) quarks. This changes the identity of the emitter and is not in the spirit of soft gluon resummation, but it does give rise to NLP contributions [61,78]. Finally, also for the singlet case we have the option to evolve with the full splitting matrices.…”

Section: Differences Between Methods At the Next-to-leading Power Levelmentioning

confidence: 99%

“…With option 2b (and 2c) we also allow for the emission of collinear quarks. This results in an NLP LL contribution when the quark momentum becomes soft-collinear [61,78]. As the full NLO beta function (i.e.…”

Section: Differences Between Methods At the Next-to-leading Power Levelmentioning

confidence: 99%

“…The LL NLP terms that we do not catch can be classified in three categories. First, some of the terms have a noncollinear origin [78]. These cannot be reproduced via a modification of the splitting/fragmentation functions, as these only contain collinear effects.…”

Section: Final State Next-to-leading Power Termsmentioning

confidence: 99%

“…These cannot be reproduced via a modification of the splitting/fragmentation functions, as these only contain collinear effects. A second category follows from the modification of the hard scattering kinematics as a result of the next-to-soft gluon emission [62,78]. The O(1 − z) expansion of the Born function is then multiplied with a LL LP term, which results in an NLP logarithm.…”

Section: Final State Next-to-leading Power Termsmentioning

confidence: 99%

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Next-to-leading power threshold effects for resummed prompt photon production

et al. 2019

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We assess and compare different methods for including leading threshold logarithms at nextto-leading-power in prompt photon production at hadron colliders, for both the direct and parton fragmentation mechanisms. We do this in addition to next-to-leading logarithmic threshold and joint resummation at leading power. We study the size of these effects and their scale variations for LHC kinematics. We find that the next-to-leading power effects have a noticeable effect on the photon transverse momentum distribution, typically of order O(10%), depending on the method of inclusion. Our results indicate that next-to-leading power terms can reduce the scale dependence of the distribution considerably. † Deceased. We dedicate this paper to his memory. arXiv:1905.11771v1 [hep-ph] 28 May 2019 Recently, the SCET framework has been used to demonstrate that the leading-logarithmic (LL) NLP contributions to Drell-Yan production can indeed be resummed [59]. Preliminary studies [67][68][69] were performed for the resummation of a large class of leading logarithmic (LL with m = 2n − 1) NLP terms for direct production of prompt photons, in both threshold and joint resummation. In this paper we extend this work in a number of new directions. First, we now include the fragmentation mechanism, which requires additional colour structures in the hard scattering. Second, we assess different approaches to include initial and final state NLP terms and analyze them for both threshold and joint resummation. We furthermore examine the effect of including the NLP terms on the scale dependence of the resummed cross-section. Finally, we use the prompt photon process as a case study of NLP effects for a final state containing color-charged particles, providing numerical studies to assess the size of the NLP terms. The paper is organized as follows. In section 2 we review the threshold and joint resummed photon p T distribution, and discuss the inclusion of NLP effects for the initial and final state. In section 3 we assess the numerical impact of these corrections, and we conclude in section 4. In appendix A we collect explicit expressions for quantities listed in section 2, while in appendix B we compare the NLO expansion of our resummed expressions at NLP with exact results.

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On linear power corrections in certain collider observables

Caola¹,

Ravasio²,

Limatola

et al. 2022

J. High Energ. Phys.

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We study linear power corrections $$ \mathcal{O} $$ O (ΛQCD/Q) to certain collider observables. We present arguments that prove that such corrections cannot appear in observables that are inclusive with respect to QCD radiation, such as total cross sections as well as rapidity and transverse momentum distributions of color-neutral particles. Although our calculations are carried out in a simplified framework, our arguments and conclusions are applicable, with some reservations, to processes both at lepton and hadron colliders. We also show how an improved understanding of the origin of linear power corrections allows us to simplify their calculation. As an application, we compute the leading non-perturbative corrections to the C-parameter and the thrust in e+e− annihilation in a generic three-jet configuration.

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Next-to-leading power threshold effects for inclusive and exclusive processes with final state jets

Cited by 37 publications

References 110 publications

Higher-order power corrections in a transverse-momentum cut for colour-singlet production at NLO

Higher-order power corrections in a transverse-momentum cut for colour-singlet production at NLO

Next-to-leading power threshold effects for resummed prompt photon production

On linear power corrections in certain collider observables

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