Anomalous dimension of subleading-power N-jet operators

Beneke, Μ.; Garny, Mathias; Szafron, Robert; Wang, Jian

doi:10.1007/jhep03(2018)001

Cited by 94 publications

(179 citation statements)

References 40 publications

(137 reference statements)

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“…The evolution equations involve a new cusp anomalous dimension originating from the exchange of an ultra-soft quark between two collinear sectors. There has recently been an increasing interest in applications of SCET beyond the leading power in λ [57,[68][69][70][71][72][73][74][75][76]. The results obtained in this paper are an important contribution to this rapidly developing field.…”

Section: Jhep08(2018)095 7 Conclusionmentioning

confidence: 60%

“…The same-chirality operators containing a gluon field exhibit a more interesting behavior. Due to the dependence of the operators O Q LQL G and O q RqR G on the variable u, the anomalous dimension governing the multiplicative renormalization of these operators is a distribution-valued function of two variables u and w. We find that the scale dependence of the corresponding Wilson coefficients is determined by the evolution equation (with q = Q L or q R ) analogy with the derivation of the anomalous dimensions of the subleading SCET current operators arising in B-meson physics performed in [42,56] (see [57] for related recent work). It is convenient to use the background-field gauge [58] for the external gluon, in which the combination g s G µ,a is not renormalized.…”

Section: Two-jet Operators At O(λ 3 )mentioning

confidence: 63%

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Effective field theory after a new-physics discovery

Alte

König

Neubert

2018

J. High Energ. Phys.

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When a new heavy particle is discovered at the LHC or at a future highenergy collider, it will be interesting to study its decays into Standard Model particles using an effective field-theory framework. We point out that the proper effective theory must be based on non-local operators defined in soft-collinear effective theory (SCET). For the interesting case where the new resonance is a gauge-singlet spin-0 boson, which is the first member of a new sector governed by a mass scale M , we show how a consistent scale separation between M and the electroweak scale v is achieved up to next-to-next-toleading order in the expansion parameter λ ∼ v/M . The Wilson coefficients in the effective Lagrangian depend in a non-trivial way on the mass of the new resonance and the masses of yet undiscovered heavy particles. Large logarithms of the ratio M/v can be systematically resummed using the renormalization group. We develop a SCET toolbox, with which it is straightforward to construct the relevant effective Lagrangians for new heavy particles with other charges and spin.

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Section: Jhep08(2018)095 7 Conclusionmentioning

confidence: 60%

Section: Two-jet Operators At O(λ 3 )mentioning

confidence: 63%

Effective field theory after a new-physics discovery

Alte

König

Neubert

2018

J. High Energ. Phys.

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“…One approach is to analytically calculate the power corrections to the SCET factorization theorem used in the below-cut region. The study of the structure of subleading power corrections to effectivetheory factorization theorems is also of general interest, and has received significant attention recently [21][22][23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Next-to-leading-logarithmic power corrections for N -jettiness subtraction in color-singlet production

2018

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We present a detailed derivation of the power corrections to the factorization theorem for the 0-jettiness event shape variable T . Our calculation is performed directly in QCD without using the formalism of effective field theory. We analytically calculate the next-to-leading logarithmic power corrections for small T at next-to-leading order in the strong coupling constant, extending previous computations which obtained only the leading-logarithmic power corrections. We address a discrepancy in the literature between results for the leading-logarithmic power corrections to a particular definition of 0-jettiness. We present a numerical study of the power corrections in the context of their application to the N-jettiness subtraction method for higher-order calculations, using gluon-fusion Higgs production as an example. The inclusion of the next-to-leading-logarithmic power corrections further improves the numerical efficiency of the approach beyond the improvement obtained from the leading-logarithmic power corrections.

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“…B of Ref. [1]) that n i− A i can be eliminated by the collinear field equation, and the same is true for the soft covariant derivatives, which operate on collinear building blocks in the form…”

Section: Pos(radcor2017)048mentioning

confidence: 99%

“…In this proceedings contribution, we summarize results from our study of subleading-power effects in high-energy scattering, in particular the anomalous dimension of subleading-power N-jet operators [1] in the framework of position-space soft-collinear effective theory (SCET). An N-jet operator describes the hard scattering of N energetic, massless particles with (outgoing) momenta p i with s i j = 2p i · p j + i0, i, j = 1 .…”

Section: Introductionmentioning

confidence: 99%

Subleading power N-jet amplitudes and the LBK amplitude in SCET

Beneke¹,

Garny²,

Szafron³

et al. 2018

Proceedings of 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology) —

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We construct a complete and minimal basis of subleading-power N-jet operators in positionspace soft-collinear effective theory (SCET) and discuss how the Low-Burnett-Kroll amplitude is recovered in this framework. We begin a systematic investigation of the anomalous dimension of next-to-leading power N-jet operators in view of resummation of logarithmically enhanced terms in partonic cross sections and discuss the explicit result at the one-loop order for fermion-number two N-jet operators at the second order in the power expansion parameter of SCET.13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology)

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Anomalous dimension of subleading-power N-jet operators

Cited by 94 publications

References 40 publications

Effective field theory after a new-physics discovery

Effective field theory after a new-physics discovery

Next-to-leading-logarithmic power corrections for N -jettiness subtraction in color-singlet production

Subleading power N-jet amplitudes and the LBK amplitude in SCET

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