scholarly journals Determination of the Collins-Soper Kernel from Lattice QCD

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Maximilian Schlemmer ◽  
Alexey Vladimirov ◽  
Christian Zimmermann ◽  
Michael Engelhardt ◽  
Andreas Schäfer
Keyword(s):  
Transverse Momentum ◽  
Lattice Qcd ◽  
Energy Dependence ◽  
Parton Distributions ◽  
Transverse Momentum Dependent ◽  
Good Agreement

Abstract 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 moments of quasi-TMDs evaluated at different nucleon momenta. The analysis is done with dynamical Nf = 2 + 1 clover fermions for the CLS ensemble H101 (a = 0.0854 fm, mπ = mK = 422 MeV). The computed CS kernel is in good agreement with experimental extractions and previous lattice studies.

scholarly journals Aspects of Lattice QCD Calculations of Transverse Momentum-Dependent Parton Distributions

2016 ◽  
Author(s):  
Michael Engelhardt ◽  
Bernhard Musch ◽  
Tanmoy Bhattacharya ◽  
Jeremy R. Green ◽  
Rajan Gupta ◽  
...  
Keyword(s):  
Transverse Momentum ◽  
Lattice Qcd ◽  
Parton Distributions ◽  
Transverse Momentum Dependent

scholarly journals Lattice QCD calculations of transverse momentum-dependent parton distributions (TMDs)

2016 ◽  
Vol 112 ◽  
pp. 01008 ◽  
Author(s):  
M. Engelhardt ◽  
B. Musch ◽  
T. Bhattacharya ◽  
J. R. Green ◽  
R. Gupta ◽  
...  
Keyword(s):  
Transverse Momentum ◽  
Lattice Qcd ◽  
Parton Distributions ◽  
Transverse Momentum Dependent

scholarly journals The Boer-Mulders Transverse Momentum Distribution in the Pion and its Evolution in Lattice QCD

2015 ◽  
Vol 37 ◽  
pp. 1560034 ◽  
Author(s):  
M. Engelhardt ◽  
B. Musch ◽  
P. Hägler ◽  
A. Schäfer ◽  
J. Negele
Keyword(s):  
Transverse Momentum ◽  
Lattice Qcd ◽  
Momentum Distribution ◽  
Transverse Momentum Distribution ◽  
Matrix Elements ◽  
Parton Distributions ◽  
Transverse Momentum Dependent ◽  
Gauge Link ◽  
Definition Of ◽  
Type Parameter

Starting from a definition of transverse momentum-dependent parton distributions (TMDs) in terms of hadronic matrix elements of a quark bilocal operator containing a staple-shaped gauge link, selected TMD observables can be evaluated within Lattice QCD. A TMD ratio describing the Boer-Mulders effect in the pion is investigated, with a particular emphasis on its evolution as a function of a Collins-Soper-type parameter which quantifies the proximity of the staple-shaped gauge links to the light cone.

TRANSVERSE MOMENTUM-DEPENDENT PARTON DISTRIBUTIONS FROM LATTICE QCD

2012 ◽  
Vol 20 ◽  
pp. 153-161
Author(s):  
M. ENGELHARDT ◽  
B. MUSCH ◽  
P. HÄGLER ◽  
J. NEGELE ◽  
A. SCHÄFER
Keyword(s):  
Transverse Momentum ◽  
Inelastic Scattering ◽  
Lattice Qcd ◽  
Lorentz Frame ◽  
Matrix Elements ◽  
Lattice Calculation ◽  
Parton Distributions ◽  
Transverse Momentum Dependent ◽  
Calculation Results ◽  
Definition Of

Starting from a definition of transverse momentum-dependent parton distributions for semi-inclusive deep inelastic scattering and the Drell-Yan process, given in terms of matrix elements of a quark bilocal operator containing a staple-shaped Wilson connection, a scheme to determine such observables in lattice QCD is developed and explored. Parametrizing the aforementioned matrix elements in terms of invariant amplitudes permits a simple transformation of the problem to a Lorentz frame suited for the lattice calculation. Results for the Sivers and Boer-Mulders transverse momentum shifts are presented, focusing in particular on their dependence on the staple extent and the Collins-Soper evolution parameter.

Mass and energy dependence of the transverse momentum densities in covariant parton model

2015 ◽  
Vol 30 (27) ◽  
pp. 1550133 ◽  
Author(s):  
M. M. Yazdanpanah ◽  
A. Mirjalili ◽  
A. Behjat Ramezani
Keyword(s):  
Binding Energy ◽  
Transverse Momentum ◽  
Quark Model ◽  
Energy Dependence ◽  
Parton Model ◽  
Longitudinal Momentum ◽  
Transverse Momentum Dependent ◽  
Unpolarized Case ◽  
Covariant Quark Model ◽  
Good Agreement

The parton densities which are dependent on transverse momentum, open a way to understand better the structure of quarks and gluons in a more complete way. We are investigating a method based on the covariant quark model which enables us to extract the transverse momentum dependent (TMD) densities from the usual parton densities which are just dependent on the longitudinal momentum. In continuation, we obtain the dependence of the TMDs on binding energy and the mass of quarks. We do some calculations to obtain the TMDs in the unpolarized case while the mass and binding energy of partons are varying. Considering these effects, the results for TMDs are in good agreement with the results of the recent related models.

scholarly journals Nucleon transverse momentum-dependent parton distributions in lattice QCD: Renormalization patterns and discretization effects

2017 ◽  
Vol 96 (9) ◽  
Author(s):  
Boram Yoon ◽  
Michael Engelhardt ◽  
Rajan Gupta ◽  
Tanmoy Bhattacharya ◽  
Jeremy R. Green ◽  
...  
Keyword(s):  
Transverse Momentum ◽  
Lattice Qcd ◽  
Parton Distributions ◽  
Transverse Momentum Dependent

scholarly journals Lattice QCD calculations of nucleon transverse momentum-dependent parton distributions (TMDs) at 170 MeV pion mass

2016 ◽  
Author(s):  
Michael Engelhardt ◽  
Bernhard Musch ◽  
Tanmoy Bhattacharya ◽  
Rajan Gupta ◽  
Philipp Haegler ◽  
...  
Keyword(s):  
Transverse Momentum ◽  
Lattice Qcd ◽  
Pion Mass ◽  
Parton Distributions ◽  
Transverse Momentum Dependent

scholarly journals Lattice QCD investigation of nucleon transverse momentum-dependent parton distributions

2013 ◽  
Author(s):  
Michael Engelhardt ◽  
Bernhard Musch ◽  
Philipp Haegler ◽  
John Negele ◽  
Andreas Schafer
Keyword(s):  
Transverse Momentum ◽  
Lattice Qcd ◽  
Parton Distributions ◽  
Transverse Momentum Dependent

scholarly journals Transverse-momentum-dependent parton distributions up to N3LL from Drell-Yan data

2020 ◽  
Vol 2020 (7) ◽  
Author(s):  
Alessandro Bacchetta ◽  
Valerio Bertone ◽  
Chiara Bissolotti ◽  
Giuseppe Bozzi ◽  
Filippo Delcarro ◽  
...  
Keyword(s):  
Transverse Momentum ◽  
Parton Distributions ◽  
Transverse Momentum Dependent
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