Extending Precision Perturbative QCD with Track Functions

Li, Yibei; Moult, Ian; Velzen, Solange Schrijnder van; Waalewijn, Wouter J.; Zhu, Hua Xing

doi:10.1103/physrevlett.128.182001

Cited by 40 publications

(24 citation statements)

References 92 publications

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“…As a matter of fact, not only the EEC has been measured in multiple experiments [52][53][54][55][56][57][58][59][60][61], but it has been at the intersection of a variety of different theoretical fields. The EEC has been studied at strong coupling using the AdS/CFT correspondence [62], perturbatively in N = 4 sYM [63][64][65][66][67][68][69] and in QCD [43,[45][46][47][48][49][50][70][71][72][73][74], and it constitutes one of the simplest example of energy correlators which have spurred renewed interest in exploring the connections between QCD and N = 4, see for example [75][76][77][78][79][80]. Moreover, the EEC can be used for the extraction of the strong coupling constant (see for example [59,61,81]), and its generalizations to ep and hardon colliders as high precision probe for TMD physics at present and future colliders [82][83][84][85][86]…”

Section: Energy-energy Correlation At N 4 Llmentioning

confidence: 99%

The Four-Loop Rapidity Anomalous Dimension and Event Shapes to Fourth Logarithmic Order

Duhr¹,

Mistlberger²,

Vita³

2022

Preprint

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Section: Energy-energy Correlation At N 4 Llmentioning

confidence: 99%

The Four-Loop Rapidity Anomalous Dimension and Event Shapes to Fourth Logarithmic Order

Duhr¹,

Mistlberger²,

Vita³

2022

Preprint

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“…The agreement between these two approaches provides a strong check both on our calculations and on the universality of the track functions. The universality of the first three moments of the track functions was tested at NLO in this same manner in [5]. Here we extend this to the sixth moment.…”

Section: Calculational Techniquementioning

confidence: 87%

“…In ref. [5], building on [6], it was shown that the natural way to extend the space of IRC safe observables to incorporate particle species information is to consider correlations of energy flow on subsets of particles. These are defined theoretically by considering an energy flow operator on a subset R of particles, E R ( n 1 ), and enable a much more general class of correlations to be studied,…”

Section: Jhep06(2022)139mentioning

confidence: 99%

“…In ref. [5] it was shown that energy conservation places severe constraints on the RG evolution of the fluctuations, fixing the evolution of the first three moments to be DGLAP, up to corrections proportional to pow-JHEP06(2022)139 ers of ∆ = T q (1) − T g (1). For track functions describing the production of electrically charged hadrons in QCD, ∆ 1, effectively suppressing these contributions by an order in the perturbative expansion.…”

Section: Jhep06(2022)139mentioning

confidence: 99%

“…We begin by computing the RG for the track functions from the structure of infrared poles in energy-energy correlators, which was briefly described in [5] for the case of the two-point correlator. Here we describe it in some detail, as well as its extension to projected energy correlators, which is necessary to extract the RG of higher moments of the track functions.…”

Section: Using Projected Energy Correlatorsmentioning

confidence: 99%

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Renormalization group flows for track function moments

Max

Moult

et al. 2022

J. High Energ. Phys.

Self Cite

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Track functions describe the collective effect of the fragmentation of quarks and gluons into charged hadrons, making them a key ingredient for jet substructure measurements at hadron colliders, where track-based measurements offer superior angular resolution. The first moment of the track function, describing the average energy deposited in charged particles, is a simple and well-studied object. However, measurements of higher-point correlations of energy flow necessitate a characterization of fluctuations in the hadronization process, described theoretically by higher moments of the track function. In this paper we derive the structure of the renormalization group (RG) evolution equations for track function moments. We show that energy conservation gives rise to a shift symmetry that allows the evolution equations to be written in terms of cumulants, κ(N), and the difference between the first moment of quark and gluon track functions, ∆. The uniqueness of the first three cumulants then fixes their all-order evolution to be DGLAP, up to corrections involving powers of ∆, that are numerically suppressed by an effective order in the perturbative expansion for phenomenological track functions. However, at the fourth cumulant and beyond there is non-trivial RG mixing into products of cumulants such as κ(4) into κ(2)2. We analytically compute the evolution equations up to the sixth moment at $$ \mathcal{O} $$ O ($$ {\alpha}_s^2 $$ α s 2 ), and study the associated RG flows. These results allow for the study of up to six-point correlations in energy flow using tracks, paving the way for precision jet substructure at the LHC.

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QCD factorization from light-ray OPE

Chen

2024

J. High Energ. Phys.

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The energy-energy correlator (EEC) in Quantum Chromodynamics (QCD) serves as an important event shape for probing the substructure of jets in high-energy collisions. A significant progress has been made in understanding the collinear limit, where the angle between two detectors approaches zero, from the factorization formula in QCD and the light-ray Operator Product Expansion (OPE) in Conformal Field Theory. Building upon prior research on the renormalization of light-ray operators, we take an innovative step to extend the light-ray OPE into non-conformal contexts, with a specific emphasis on perturbative QCD. Our proposed form of the light-ray OPE is constrained by three fundamental properties: Lorentz symmetry, renormalization group invariance, and constraints from physical observables. This extension allows us to derive a factorization formula for the collinear limit of EEC, facilitating the future exploration and understanding on subleading power corrections in collinear limit.

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Extending Precision Perturbative QCD with Track Functions

Cited by 40 publications

References 92 publications

The Four-Loop Rapidity Anomalous Dimension and Event Shapes to Fourth Logarithmic Order

The Four-Loop Rapidity Anomalous Dimension and Event Shapes to Fourth Logarithmic Order

Renormalization group flows for track function moments

QCD factorization from light-ray OPE

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