Celestial Blocks and Transverse Spin in the Three-Point Energy Correlator

Chen, Hao; Moult, Ian; Sandor, Joshua; Zhu, Hua Xing

doi:10.48550/arxiv.2202.04085

Cited by 7 publications

(13 citation statements)

References 161 publications

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“…In addition to the leading asymptotic behaviours we provide, our result contains information about subleading powers as well. The data in the triple-collinear, squeezed and coplanar limit will shed new light on corresponding OPE limits of the light-ray operators [64], thus making it possible to understand these limits at arbitrary coupling [65,66]. In the meantime, the analysis in each aforementioned kinematic limtis can be generalized to QCD, providing rich content for theoretical and phenomenological studies, as major process has been achieved in the triple-collinear limit [67][68][69][70].…”

Section: Special Kinematicsmentioning

confidence: 96%

Three-point energy correlator in $\mathcal{N}=4$ super Yang-Mills Theory

Yan,

Zhang

2022

Preprint

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An analytic formula is given for the three-point energy correlator (EEEC) at leading order (LO) in maximally supersymmetric Yang-Mills theory (N = 4 sYM). This is the first analytic calculation of a three-parameter event shape observable, which provides valuable data for various studies ranging from conformal field theories to jet substructure. The associated class of functions define a new type of single-valued polylogarithms characterized by 16 alphabet letters, which manifest a D6 × Z2 dihedral symmetry of the event shape. With the unexplored simplicity in the perturbative structure of EEEC, all kinematic regions including collinear, squeezed and coplanar limits are now available.

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Section: Special Kinematicsmentioning

confidence: 96%

Three-point energy correlator in $\mathcal{N}=4$ super Yang-Mills Theory

Yan,

Zhang

2022

Preprint

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“…It was also shown that it can be directly analyzed inside jets at the LHC using CMS Open Data [88]. This is part of a broader program to reformulate the study of jet substructure in terms of energy correlators [86,[89][90][91][92][93][94]. 1 An important part of this program includes the development of techniques to compute energy correlators on charged particles (tracks) [92,[100][101][102][103] to enable the experimental measurement of higher-point correlators.…”

Section: Asymptotic Energy Flow In Collider Experiments Is Characteri...mentioning

confidence: 99%

“…C. More details can be found in Refs. [85,86]. Figure 15: The probabilities of relative error of twist ≤ 4 blocks approximations G block approx q/g for (a) quark jet and (b) gluon jet.…”

Section: Celestial Block Expansionmentioning

confidence: 99%

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Non-Gaussianities in Collider Energy Flux

Chen,

Moult,

Thaler

et al. 2022

Preprint

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The microscopic dynamics of particle collisions is imprinted into the statistical properties of asymptotic energy flux, much like the dynamics of inflation is imprinted into the cosmic microwave background. This energy flux is characterized by correlation functions E( n 1 ) • • • E( n k ) of energy flow operators E( n). There has been significant recent progress in studying energy flux, including the calculation of multi-point correlation functions and their direct measurement inside high-energy jets at the Large Hadron Collider (LHC). In this paper, we build on these advances by defining a notion of "celestial non-gaussianity" as a ratio of the three-point function to a product of two-point functions. We show that this celestial non-gaussianity is under perturbative control within jets at the LHC, allowing us to cleanly access the non-gaussian interactions of quarks and gluons. We find good agreement between perturbative calculations of the non-gaussianity and a charged-particle-based analysis using CMS Open Data, and we observe a strong non-gaussianity peaked in the "flattened triangle" regime. The ability to robustly study three-point correlations is a significant step in advancing our understanding of jet substructure at the LHC. We anticipate that the celestial non-gaussianity, and its generalizations, will play an important role in the development of higher-order parton showers simulations and in the hunt for ever more subtle signals of potential new physics within jets.

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“…(6.16), and a jet function for the observable v, occurs also in the collinear factorization. Given that for many interesting jet substructures, the corresponding jet functions have already be obtained up to next-to-next-to-next-to-leading order (N 3 LO), see for instance [126][127][128][129][130][131][132][133][134][135][136], this factorization feature can thus be used to dramatically simplify and realize future calculations of the jet substructure distributions in the small-x regime. Last but not the least, the factorized form lays down the foundation for combining the existing parton shower with the CGC calculations, in which one manage to calculate the fully differential cross section within the CGC framework just like what we have presented in this work, and then shower the physical states in vacuum due to the factorization we pointed out.…”

Section: An Alternative Subtraction and The Small-r Limitmentioning

confidence: 99%

Single Inclusive Jet Production in $pA$ Collisions at NLO in the small-$x$ regime

Liu¹,

Xie²,

Kang³

et al. 2022

Preprint

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We present the first complete next-to-leading-order (NLO) prediction with full jet algorithm implementation for the single inclusive jet production in pA collisions at forward rapidities within the color glass condensate (CGC) effective theory. Our prediction is fully differential over the final state physical kinematics, which allows the implementation of any infra-red safe observable including the jet clustering procedure. The NLO calculation is organized with the aid of the observable originated power counting proposed in [1] which gives rise to the novel soft contributions in the CGC factorization. We achieve the fullydifferential calculation by constructing suitable subtraction terms to handle the singularities in the real corrections. The subtraction contributions can be exactly integrated analytically. We present the NLO cross section with the jets constructed using the anti-k T algorithm. The NLO calculation demonstrates explicitly the validity of the CGC factorization in jet production. Furthermore, as a byproduct of the subtraction method, we also derive the fully analytic cross section for the forward jet production in the small-R limit. We show that in the small-R approximation, the forward jet cross section can be factorized into a semihard cross section that produces a parton and the semi-inclusive jet functions (siJFs).We argue that this feature holds for generic jet production and jet substructure observables in the CGC framework. Last, we show numerical analyses of the derived formula to validate our calculations. We justify when the small-R approximation is appropriate. Like forward hadron production, the obtained NLO result also exhibits the negativity of the cross section in the large jet transverse regime, which signals the need for the threshold resummation. A sketch of the threshold resummation in the CGC framework is presented based on the multiple emission picture and it is found to agree with the approach using the rapidity renormalization group equation developed in [2].

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Celestial Blocks and Transverse Spin in the Three-Point Energy Correlator

Cited by 7 publications

References 161 publications

Three-point energy correlator in $\mathcal{N}=4$ super Yang-Mills Theory

Three-point energy correlator in $\mathcal{N}=4$ super Yang-Mills Theory

Non-Gaussianities in Collider Energy Flux

Single Inclusive Jet Production in $pA$ Collisions at NLO in the small-$x$ regime

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