Subleading power resummation of rapidity logarithms: the energy-energy correlator in $$ \mathcal{N} $$ = 4 SYM

Moult, Ian; Vita, Gherardo; Yan, Kai

doi:10.1007/jhep07(2020)005

Cited by 66 publications

(76 citation statements)

References 125 publications

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“…Note that at fixed order the full angle EEC has been calculated analytically through O(α 2 s ) [148,149]. It will also be interesting to study the collinear expansions beyond leading power to shed light on the structure of TMD factorization at subleading power, in particular on the structure of rapidity divergences at subleading power [89,150,151].…”

Section: Discussionmentioning

confidence: 99%

Transverse momentum dependent PDFs at N3LO

Ebert

Mistlberger

Vita

2020

J. High Energ. Phys.

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110

126

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We compute the quark and gluon transverse momentum dependent parton distribution functions at next-to-next-to-next-to-leading order (N3LO) in perturbative QCD. Our calculation is based on an expansion of the differential Drell-Yan and gluon fusion Higgs production cross sections about their collinear limit. This method allows us to employ cutting edge multiloop techniques for the computation of cross sections to extract these universal building blocks of the collinear limit of QCD. The corresponding perturbative matching kernels for all channels are expressed in terms of simple harmonic polylogarithms up to weight five. As a byproduct, we confirm a previous computation of the soft function for transverse momentum factorization at N3LO. Our results are the last missing ingredient to extend the qT subtraction methods to N3LO and to obtain resummed qT spectra at N3LL′ accuracy both for gluon as well as for quark initiated processes.

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Section: Discussionmentioning

confidence: 99%

Transverse momentum dependent PDFs at N3LO

Ebert

Mistlberger

Vita

2020

J. High Energ. Phys.

Self Cite

110

126

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“…Much recent work has focused on exploring the structure of factorization at subleading order in power counting -a problem that turns out to be unexpectedly subtle and full of complexities. Specific applications discussed in the literature include the study of power corrections to event shapes [4] and transverse-momentum distributions [5,6], the threshold factorization for the Drell-Yan process [7,8], and the factorization of power-suppressed contributions to Higgs-boson decays [9,10]. One finds that such factorization theorems contain a sum over convolutions of Wilson coefficients with operator matrix elements, where the relevant SCET operators mix under renormalization.…”

Section: Jhep01(2021)077mentioning

confidence: 99%

“…Several new complications arise, which do not occur at leading power. The most puzzling one is the appearance of endpoint-divergent convolution integrals over products of component functions each depending on a single scale [6,[8][9][10][11][12][13][14]. In some sense, such endpoint divergences indicate a failure of dimensional regularization and the MS subtraction scheme, because some of the 1/ n pole terms are not removed by renormalizing the individual component functions, and hence naive scale separation is violated.…”

Section: Jhep01(2021)077mentioning

confidence: 99%

Factorization at subleading power and endpoint divergences in h → γγ decay. Part II. Renormalization and scale evolution

Liu

Mecaj

Neubert

et al. 2021

J. High Energ. Phys.

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Building on the recent derivation of a bare factorization theorem for the b-quark induced contribution to the h → γγ decay amplitude based on soft-collinear effective theory, we derive the first renormalized factorization theorem for a process described at subleading power in scale ratios, where λ = mb/Mh « 1 in our case. We prove two refactorization conditions for a matching coefficient and an operator matrix element in the endpoint region, where they exhibit singularities giving rise to divergent convolution integrals. The refactorization conditions ensure that the dependence of the decay amplitude on the rapidity regulator, which regularizes the endpoint singularities, cancels out to all orders of perturbation theory. We establish the renormalized form of the factorization formula, proving that extra contributions arising from the fact that “endpoint regularization” does not commute with renormalization can be absorbed, to all orders, by a redefinition of one of the matching coefficients. We derive the renormalization-group evolution equation satisfied by all quantities in the factorization formula and use them to predict the large logarithms of order $$ {\alpha \alpha}_s^2{L}^k $$ αα s 2 L k in the three-loop decay amplitude, where $$ L=\ln \left(-{M}_h^2/{m}_b^2\right) $$ L = ln − M h 2 / m b 2 and k = 6, 5, 4, 3. We find perfect agreement with existing numerical results for the amplitude and analytical results for the three-loop contributions involving a massless quark loop. On the other hand, we disagree with the results of previous attempts to predict the series of subleading logarithms $$ \sim {\alpha \alpha}_s^n{L}^{2n+1} $$ ∼ αα s n L 2 n + 1 .

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“…Here 0 ≤ x ≤ 1, and the track function satisfies the sum rule 4 Although we should emphasize that the perturbative simplicity of energy correlator observables has enabled a number of analytic calculations [24,29,[34][35][36] that were not possible for standard δ-function observables, leading to valuable perturbative data for improving our understanding of event shapes [55]. Although, as mentioned above, their moments are directly related to the energy flow polynomials which are a basis of tagging observables [39].…”

Section: A Incorporating Tracksmentioning

confidence: 99%

Rethinking jets with energy correlators: Tracks, resummation, and analytic continuation

et al. 2020

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We introduce an infinite set of jet substructure observables, derived as projections of N-point energy correlators, that both are convenient for experimental studies and maintain remarkable analytic properties derived from their representations in terms of a finite number of light ray operators. We show that these observables can be computed using tracking or charge information with a simple reweighting by integer moments of nonperturbative track or fragmentation functions. Our results for the projected N-point correlators are analytic functions of N, allowing us to derive resummed results to next-to-leading logarithmic accuracy for all N. We analytically continue our results to noninteger values of N and define a corresponding analytic continuation of the observable, which we term a ν correlator, that can be measured on jets of hadrons at the LHC. This enables observables that probe the leading twist collinear dynamics of jets to be placed into a single analytic family, which we hope will lead to new insights into jet substructure.

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Subleading power resummation of rapidity logarithms: the energy-energy correlator in $$ \mathcal{N} $$ = 4 SYM

Cited by 66 publications

References 125 publications

Transverse momentum dependent PDFs at N3LO

Transverse momentum dependent PDFs at N3LO

Factorization at subleading power and endpoint divergences in h → γγ decay. Part II. Renormalization and scale evolution

Rethinking jets with energy correlators: Tracks, resummation, and analytic continuation

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