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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

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

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

We present a first joint extraction of the Collins-Soper kernel (CSK) combining experimental and lattice QCD data in the context of an analysis of transverse-momentum-dependent distributions (TMDs). Based on a neural-network…

High Energy Physics - Phenomenology · Physics 2025-10-31 Artur Avkhadiev , Valerio Bertone , Chiara Bissolotti , Matteo Cerutti , Yang Fu , Simone Rodini , Phiala Shanahan , Michael Wagman , Yong Zhao

We revisit the factorization of inclusive deep inelastic scattering near the kinematic threshold to explicitly track off-lightcone effects. Particle production develops around two opposite near-lightcone directions like in…

High Energy Physics - Phenomenology · Physics 2025-02-24 Andrea Simonelli , Alberto Accardi , Matteo Cerutti , Caroline S. R. Costa , Andrea Signori

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

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

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

The Collins-Soper (CS) kernel is a nonperturbative function that characterizes the rapidity evolution of transverse-momentum-dependent parton distribution functions (TMDPDFs) and wave functions. In this Letter, we calculate the CS kernel…

We report on a successful attempt to extract the cross-section for the high-energy scattering of colour dipoles of fixed transverse size off protons using electroproduction and photoproduction total cross-section data, subject to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. R. Forshaw , G. Kerley , G. Shaw

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

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 (CS) kernel may be obtained through the TMD soft function by formulating the Wilson line in terms of 1-dimensional auxiliary fermion fields on the lattice. Our computation takes place in the region of the lattice that…

High Energy Physics - Lattice · Physics 2026-03-05 Anthony Francis , C. -J. David Lin , Wayne Morris , Yong Zhao

We present the extraction of unpolarized transverse momentum dependent parton distributions functions (TMDPDFs) and Collins-Soper kernel from the fit of Drell-Yan and weak-vector boson production data. The TMDPDF are parameterized, as…

High Energy Physics - Phenomenology · Physics 2024-04-29 Valentin Moos , Ignazio Scimemi , Alexey Vladimirov , Pia Zurita

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 present [1] the first simultaneous extraction of the transversity distribution and the Collins fragmentation function, obtained through a combined analysis of experimental data on azimuthal asymmetries in semi-inclusive deep inelastic…

High Energy Physics - Phenomenology · Physics 2007-07-10 M. Anselmino , M. Boglione , U. D'Alesio , A. Kotzinian , F. Murgia , A. Prokudin , C. Turk

In recent years information on the transversity distribution $h_1$ has been obtained combining the Collins asymmetry results from semi-inclusive deep inelastic scattering (SIDIS) data on transversely polarized nucleon targets with the…

High Energy Physics - Phenomenology · Physics 2019-06-12 V. Barone , F. Bradamante , A. Bressan , A. Kerbizi , A. Martin , A. Moretti , J. Matousek , G. Sbrizzai

We evaluate the Collins-Soper kernel and the reduced soft function in lattice QCD, incorporating $\mathcal{O}(\alpha_s)$ matching corrections. The calculation relies on the evaluation of the quasi-transverse momentum-dependent wave function…

We present a fit of the transverse momentum spectrum for Drell-Yan and semi-inclusive deep inelastic scattering data, based on transverse momentum dependent (TMD) factorization at N$^4$LL accuracy. Our analysis shows good agreement with the…

High Energy Physics - Phenomenology · Physics 2025-10-06 Valentin Moos , Ignazio Scimemi , Alexey Vladimirov , Pia Zurita

It is studied the possibility of direct extraction of the transversity and its accompanying T-odd parton distribution function (PDF) from Drell-Yan (DY) processes with unpolarized pion beam and with both unpolarized and transversely…

High Energy Physics - Phenomenology · Physics 2009-01-07 A. Sissakian , O. Shevchenko , A. Nagaytsev , O. Denisov , O. Ivanov
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