Factorization at subleading power, Sudakov resummation, and endpoint divergences in soft-collinear effective theory

Liu, Ze Long; Mecaj, Bianka; Neubert, Matthias; Wang, Xing

doi:10.1103/physrevd.104.014004

Cited by 45 publications

(47 citation statements)

References 37 publications

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“…Recently, ref. [86] confirmed these results for DIS, within the framework of SCET, using the assumption that the one-loop virtual corrections to the new partonic channel at NLO exponentiate, and showing how such exponentiation can be obtained through re-factorisation (see also [73,74]). The same technique has been used [88] to prove also the conjecture in [37], concerning the qg channel in DY and Higgs.…”

Section: Introductionmentioning

confidence: 54%

“…Examples using direct QCD arguments include developing factorisation theorems for NLP contributions that extend their LP counterparts [43][44][45][46][47][48][49]; carrying out fixed-order studies that aim to motivate such formulae [50][51][52][53][54][55][56]; resumming NLP contributions by combining factorisation and renormalisation group arguments [26,[57][58][59][60][61]; and resumming specific contributions [62]. There is also an ever-growing body of work examining NLP effects in SCET, including identifying relevant operators contributing at NLP order and/or their mixing under renormalisation [63][64][65][66][67][68][69][70]; development of factorisation formulae [71][72][73][74]; and explicit studies for particular observables, either at fixed-order or resummed [75][76][77][78][79][80][81][82][83][84][85][86]. This has pr...…”

Section: Introductionmentioning

confidence: 99%

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Threshold resummation of new partonic channels at next-to-leading power

Beekveld¹,

Vernazza

White

2021

J. High Energ. Phys.

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Collider observables involving heavy particles are subject to large logarithmic terms near threshold, which must be summed to all orders in perturbation theory to obtain sensible results. Relatively recently, this resummation has been extended to next-to-leading power in the threshold variable, using a variety of approaches. In this paper, we consider partonic channels that turn on only at next-to-leading power, and show that it is possible to resum leading logarithms using well-established diagrammatic techniques in Quantum Chromodynamics. We first consider deep inelastic scattering, where we reproduce the results of a recent study using an effective theory approach. Next, we consider the quark-gluon channel in both Drell-Yan and Higgs boson production, showing that an explicit all-order form for the leading logarithmic partonic cross section can be obtained. Our results agree with previous conjectures based on fixed-order results.

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Section: Introductionmentioning

confidence: 54%

Section: Introductionmentioning

confidence: 99%

Threshold resummation of new partonic channels at next-to-leading power

Beekveld¹,

Vernazza

White

2021

J. High Energ. Phys.

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“…(A. 16) is non-vanishing only in the high-energy domain where E 4 > σ m c and, therefore, the limit m c → 0 can be taken. This leads to the following expression and set σ → 0.…”

Section: A Extraction Of the O(ln M C )-Enhanced Contributions In The...mentioning

confidence: 99%

“…There are two consequences of the above discussion. First, the problem of estimating the magnitude of the interference contribution to the production of a Higgs boson in association with a charm jet turns into an interesting problem in perturbative QCD that borders on such important issues as soft and collinear QCD factorization for mass power corrections [13][14][15][16][17]. Second, a more complex pattern of this factorization, as compared to the canonical collinear and soft cases [18], implies that NLO QCD corrections to leading-order interference are enhanced by up to two powers of a large logarithm ln Q/m c where Q is a typical hard scale in the process pp → H + jet c .…”

Section: Introductionmentioning

confidence: 99%

On the interference of $ggH$ and $c\bar{c}H$ Higgs production mechanisms and the determination of charm Yukawa coupling at the LHC

Bizon,

Melnikov,

Quarroz

2021

Preprint

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Higgs boson production in association with a charm-quark jet proceeds through two different mechanisms -one that involves the charm Yukawa coupling and the other that involves direct Higgs coupling to gluons. The interference of the two contributions requires a helicity flip and, therefore, cannot be computed with massless charm quarks. In this paper, we consider QCD corrections to the interference contribution starting from charm-gluon collisions with massive charm quarks and taking the massless limit, m c → 0. The behavior of QCD cross sections in that limit differs from expectations based on the canonical QCD factorization. This implies that QCD corrections to the interference term necessarily involve logarithms of the ratio M H /m c whose resummation is currently unknown. Although the explicit next-toleading order QCD computation does confirm the presence of up to two powers of ln(M H /m c ) in the interference contribution, their overall impact on the magnitude of QCD corrections to the interference turns out to be moderate due to a cancellation between double and single logarithmic terms.

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“…Solutions to this problem at LL accuracy have been found in particular cases by employing consistency relations [13], refactorization conditions [14] and a combination of operator refactorization and consistency relations [15]. At NLL accuracy a solution has been obtained for the h → γγ decay mediated by light-quarks using diagrammatic methods [16] and within the SCET II framework [17,18]. However, a universal solution to these problems is not currently known.…”

Section: Introductionmentioning

confidence: 99%

Next-to-leading power two-loop soft functions for the Drell-Yan process at threshold

Broggio

Jaskiewicz

Vernazza

2021

J. High Energ. Phys.

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We calculate the generalized soft functions at $$ \mathcal{O} $$ O ($$ {\alpha}_s^2 $$ α s 2 ) at next-to-leading power accuracy for the Drell-Yan process at threshold. The operator definitions of these objects contain explicit insertions of soft gauge and matter fields, giving rise to a dependence on additional convolution variables with respect to the leading power result. These soft functions constitute the last missing ingredient for the validation of the bare factorization theorem to NNLO accuracy. We carry out the calculations by reducing the soft squared amplitudes into a set of canonical master integrals and we employ the method of differential equations to evaluate them. We retain the exact d-dimensional dependence of the convolution variables at the integration boundaries in order to regulate the fixed-order convolution integrals. After combining the soft functions with the relevant collinear functions, we perform checks of the results at the cross-section level against the literature and expansion-by-regions calculations, at NNLO and partly at N3LO, finding agreement.

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Factorization at subleading power, Sudakov resummation, and endpoint divergences in soft-collinear effective theory

Cited by 45 publications

References 37 publications

Threshold resummation of new partonic channels at next-to-leading power

Threshold resummation of new partonic channels at next-to-leading power

On the interference of $ggH$ and $c\bar{c}H$ Higgs production mechanisms and the determination of charm Yukawa coupling at the LHC

Next-to-leading power two-loop soft functions for the Drell-Yan process at threshold

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