Transverse-energy-energy correlations in deep inelastic scattering

Li, Hai Tao; Vitev, Ivan; Zhu, Yun

doi:10.1007/jhep11(2020)051

Cited by 28 publications

(21 citation statements)

References 94 publications

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“…On the other hand, the definition in e + e − is done with both hemispheres. More recent developments including improved accuracy and/or new event shape predictions [25][26][27][28][29][30][31] assume that future machines can cover both regions. With the assumption, DIS thrust, which we call a 1-jettiness [25,26] can be defined as…”

Section: Introductionmentioning

confidence: 99%

1-Jettiness with Jet axis at $O(α_s)$ in Deep Inelastic Scattering

Chu,

Wang,

et al. 2022

Preprint

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We present O(α s ) analytic predictions for event shape 1-jettiness τ 1 distribution aiming measurements in deep inelastic scattering process at future Electron Ion Colliders. The result depends on conventional variables x and Q as well as on τ 1 and is relatively compact and easy to implement for numerical calculation. Three different choices of axis, with respect to which τ 1 is measured are considered in the Breit frame. The first is the one optimally adjusted to minimize τ 1 and the second and third are taken from anti-k T and Centauro jet algorithms defined with a jet radius parameter R, respectively. We find that the first and second give the same result at this order and are independent of R, while the third depends on the radius. This fixed-order result provides a nonsingular contribution to be combined with a singular log-resummed contribution to give the full spectrum in τ 1 space and also shows how fixed-order and resummation regions change as a function of x and Q.

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Section: Introductionmentioning

confidence: 99%

1-Jettiness with Jet axis at $O(α_s)$ in Deep Inelastic Scattering

Chu,

Wang,

et al. 2022

Preprint

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“…[30] for hadronhadron colliders and extended in ref. [31] for DIS, 1 which shares various ingredients with the factorization of the EEC.…”

Section: Introductionmentioning

confidence: 99%

The Energy-Energy Correlation in the back-to-back limit at N3LO and N3LL′

Ebert

Mistlberger

Vita

2021

J. High Energ. Phys.

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We present the analytic formula for the Energy-Energy Correlation (EEC) in electron-positron annihilation computed in perturbative QCD to next-to-next-to-next-to-leading order (N3LO) in the back-to-back limit. In particular, we consider the EEC arising from the annihilation of an electron-positron pair into a virtual photon as well as a Higgs boson and their subsequent inclusive decay into hadrons. Our computation is based on a factorization theorem of the EEC formulated within Soft-Collinear Effective Theory (SCET) for the back-to-back limit. We obtain the last missing ingredient for our computation — the jet function — from a recent calculation of the transverse-momentum dependent fragmentation function (TMDFF) at N3LO. We combine the newly obtained N3LO jet function with the well known hard and soft function to predict the EEC in the back-to-back limit. The leading transcendental contribution of our analytic formula agrees with previously obtained results in $$ \mathcal{N} $$ N = 4 supersymmetric Yang-Mills theory. We obtain the N = 2 Mellin moment of the bulk region of the EEC using momentum sum rules. Finally, we obtain the first resummation of the EEC in the back-to-back limit at N3LL′ accuracy, resulting in a factor of ∼ 4 reduction of uncertainties in the peak region compared to N3LL predictions.

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“…This data has been used to extract both unpolarized TMDFFs [22][23][24] and the so-called Sivers function [25][26][27][28][29][30][31][32][33][34][35][36]. TMDFFs are also closely related to TMD jet functions arising in processes involving final-state jets at low transverse momentum [37][38][39][40], and to the jet functions encountered in energy correlation functions in electron-positron annihilation [41,42] and transverse-momentum dependent event shapes involving jets [43][44][45]. For a review on TMDFFs see for example ref.…”

Section: Introductionmentioning

confidence: 99%

TMD fragmentation functions at N3LO

Ebert

Mistlberger

Vita

2021

J. High Energ. Phys.

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We compute the unpolarized quark and gluon transverse-momentum dependent fragmentation functions (TMDFFs) at next-to-next-to-next-to-leading order (N3LO) in perturbative QCD. The calculation is based on a relation between the TMDFF and the limit of the semi-inclusive deep inelastic scattering cross section where all final-state radiation becomes collinear to the detected hadron. The required cross section is obtained by analytically continuing our recent computation of the Drell-Yan and Higgs boson production cross section at N3LO expanded around the limit of all final-state radiation becoming collinear to one of the initial states. Our results agree with a recent independent calculation by Luo et al.

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Transverse-energy-energy correlations in deep inelastic scattering

Cited by 28 publications

References 94 publications

1-Jettiness with Jet axis at $O(α_s)$ in Deep Inelastic Scattering

1-Jettiness with Jet axis at $O(α_s)$ in Deep Inelastic Scattering

The Energy-Energy Correlation in the back-to-back limit at N3LO and N3LL′

TMD fragmentation functions at N3LO

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