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We present the first lattice QCD calculation of the rapidity anomalous dimension of transverse-momentum-dependent distributions (TMDs), i.e. the Collins-Soper (CS) kernel, employing the recently proposed Coulomb-gauge-fixed quasi-TMD…

High Energy Physics - Lattice · Physics 2024-07-16 Swagato Mukherjee , Dennis Bollweg , Xiang Gao , Yong Zhao

The Collins-Soper kernel relates transverse momentum-dependent parton distribution functions (TMDPDFs) at different energy scales. For small parton transverse momentum $q_T\sim \Lambda_\text{QCD}$, this kernel is non-perturbative and can…

High Energy Physics - Lattice · Physics 2020-08-07 Phiala Shanahan , Michael Wagman , Yong Zhao

This work presents a determination of the quark Collins-Soper kernel, which relates transverse-momentum-dependent parton distributions (TMDs) at different rapidity scales, using lattice Quantum Chromodynamics (QCD). This is the first…

High Energy Physics - Lattice · Physics 2024-01-15 Artur Avkhadiev , Phiala Shanahan , Michael Wagman , Yong Zhao

At small transverse momentum $q_T$, transverse-momentum dependent parton distribution functions (TMDPDFs) arise as genuinely nonperturbative objects that describe Drell-Yan like processes in hadron collisions as well as semi-inclusive…

High Energy Physics - Phenomenology · Physics 2019-02-21 Markus A. Ebert , Iain W. Stewart , Yong Zhao

We outline a general framework for evaluating the non-perturbative soft functions in the QCD instanton vacuum. In particular, from the soft function we derive the Collins-Soper (CS) kernel, which drives the rapidity evolution of the…

High Energy Physics - Phenomenology · Physics 2025-10-31 Wei-Yang Liu , Ismail Zahed , Yong Zhao

We present a lattice QCD calculation of the rapidity anomalous dimension of quark transverse-momentum-dependent distributions, i.e., the Collins-Soper (CS) kernel, up to transverse separations of about 1 fm. This unitary lattice calculation…

High Energy Physics - Lattice · Physics 2024-04-16 Dennis Bollweg , Xiang Gao , Swagato Mukherjee , Yong Zhao

This work presents a determination of the quark Collins-Soper kernel, which relates transverse-momentum-dependent parton distributions (TMDs) at different rapidity scales, using lattice quantum chromodynamics (QCD). This is the first such…

High Energy Physics - Lattice · Physics 2024-02-13 Artur Avkhadiev , Phiala E. Shanahan , Michael L. Wagman , Yong Zhao

This work presents a lattice quantum chromodynamics (QCD) calculation of the nonperturbative Collins-Soper kernel, which describes the rapidity evolution of quark transverse-momentum-dependent parton distribution functions. The kernel is…

High Energy Physics - Lattice · Physics 2021-12-22 Phiala Shanahan , Michael Wagman , Yong Zhao

The Collins-Soper (CS) kernel governs the rapidity evolution of transverse-momentum-dependent (TMD) parton distributions, a cornerstone for QCD factorization and linking nucleon structure data across scales. Its nonperturbative behavior at…

We present a novel method of extraction of the Collins-Soper kernel directly from the comparison of differential cross-sections measured at different energies. Using this method, we analyze the pseudo-data generated by the CASCADE event…

High Energy Physics - Phenomenology · Physics 2022-06-03 Armando Bermudez Martinez , Alexey Vladimirov

The rapidity anomalous dimension controls the scaling of transverse momentum dependent observables in the Sudakov region. In a conformal theory it is equivalent to the soft anomalous dimension, but in QCD this relation is broken by…

High Energy Physics - Phenomenology · Physics 2022-09-14 Ian Moult , Hua Xing Zhu , Yu Jiao Zhu

In the framework of large-momentum effective theory at one-loop matching accuracy, we perform a lattice calculation of the Collins-Soper kernel which governs the rapidity evolution of transverse-momentum-dependent (TMD) distributions. We…

The Collins-Soper kernel, which governs the energy evolution of transverse-momentum dependent parton distribution functions (TMDPDFs), is required to accurately predict Drell-Yan like processes at small transverse momentum, and is a key…

High Energy Physics - Phenomenology · Physics 2020-03-23 Markus A. Ebert , Iain W. Stewart , Yong Zhao

We show that the three commonly employed approaches that define the same dc (or low-frequency) intrinsic linear anomalous Hall response actually lead to different results for intrinsic nonlinear transport. The difference is due to an…

Mesoscale and Nanoscale Physics · Physics 2025-12-30 Cong Xiao , Jin Cao , Qian Niu , Shengyuan A. Yang

We present lattice results for the non-perturbative Collins-Soper (CS) kernel, which describes the energy-dependence of transverse momentum-dependent parton distributions (TMDs). The CS kernel is extracted from the ratios of first Mellin…

High Energy Physics - Lattice · Physics 2021-08-18 Maximilian Schlemmer , Alexey Vladimirov , Christian Zimmermann , Michael Engelhardt , Andreas Schäfer

A covariant scattering kernel is a core component in any self-consistent general relativistic radiative transfer formulation in scattering media. An explicit closed-form expression for a covariant Compton scattering kernel with a good…

High Energy Astrophysical Phenomena · Physics 2015-06-16 Ziri Younsi , Kinwah Wu

In the QCD evolution of transverse momentum dependent parton distribution and fragmentation functions, the Collins-Soper evolution kernel includes both a perturbative short-distance contribution as well as a large-distance non-perturbative,…

High Energy Physics - Phenomenology · Physics 2014-05-28 C. A. Aidala , B. Field , L. P. Gamberg , T. C. Rogers

Some quantum-gravity theories suggest that the absorbing horizon of a classical black hole should be replaced by a reflective surface which is located a microscopic distance above the would-be classical horizon. Instead of an absorbing…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Shahar Hod

The Collins mechanism provides a non-perturbative explanation for the large single spin asymmetries found in hard semi-inclusive reactions involving a transversely polarized nucleon. However, there are seemingly convincing reasons to…

High Energy Physics - Phenomenology · Physics 2016-09-06 Elliot Leader

Asymptotic properties of a dimension-robust dependence measure are investigated. It is related to those used in independence tests, but is derivable, thus suitable for independent component analysis. An adjustable kernel allows to…

Statistics Theory · Mathematics 2007-06-13 Sophie Achard
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