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Title: Semi-Inclusive Deep Inelastic Scattering and Bessel-Weighted Asymmetries

Abstract

We consider the cross section in Fourier space, conjugate to the outgoing hadron's transverse momentum, where convolutions of transverse momentum dependent parton distribution functions and fragmentation functions become simple products. Individual asymmetric terms in the cross section can be projected out by means of a generalized set of weights involving Bessel functions. Advantages of employing these Bessel weights are that they suppress (divergent) contributions from high transverse momentum and that soft factors cancel in (Bessel-) weighted asymmetries. Also, the resulting compact expressions immediately connect to previous work on evolution equations for transverse momentum dependent parton distribution and fragmentation functions and to quantities accessible in lattice QCD. Bessel-weighted asymmetries are thus model independent observables that augment the description and our understanding of correlations of spin and momentum in nucleon structure.

Authors:
 [1];  [2]; ;  [3]
  1. Department of Physics, Penn State University-Berks, Reading, PA 19610 (United States)
  2. Theory Group, KVI, University of Groningen (Netherlands)
  3. Jefferson Lab, Newport News, VA 23606 (United States)
Publication Date:
OSTI Identifier:
22004007
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1418; Journal Issue: 1; Conference: PacSPIN2011: 8. Circum-Pan-Pacific symposium on high energy spin physics, Cairns, QLD (Australia), 20-24 Jun 2011; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ASYMMETRY; BESSEL FUNCTIONS; CORRELATIONS; CROSS SECTIONS; DEEP INELASTIC SCATTERING; DISTRIBUTION FUNCTIONS; LATTICE FIELD THEORY; NUCLEONS; PARTICLE STRUCTURE; QUANTUM CHROMODYNAMICS; QUARK MODEL; SPIN; TRANSVERSE MOMENTUM

Citation Formats

Gamberg, Leonard, Boer, Daniel, Musch, Bernhard, and Prokudin, Alexei. Semi-Inclusive Deep Inelastic Scattering and Bessel-Weighted Asymmetries. United States: N. p., 2011. Web. doi:10.1063/1.3667306.
Gamberg, Leonard, Boer, Daniel, Musch, Bernhard, & Prokudin, Alexei. Semi-Inclusive Deep Inelastic Scattering and Bessel-Weighted Asymmetries. United States. https://doi.org/10.1063/1.3667306
Gamberg, Leonard, Boer, Daniel, Musch, Bernhard, and Prokudin, Alexei. Wed . "Semi-Inclusive Deep Inelastic Scattering and Bessel-Weighted Asymmetries". United States. https://doi.org/10.1063/1.3667306.
@article{osti_22004007,
title = {Semi-Inclusive Deep Inelastic Scattering and Bessel-Weighted Asymmetries},
author = {Gamberg, Leonard and Boer, Daniel and Musch, Bernhard and Prokudin, Alexei},
abstractNote = {We consider the cross section in Fourier space, conjugate to the outgoing hadron's transverse momentum, where convolutions of transverse momentum dependent parton distribution functions and fragmentation functions become simple products. Individual asymmetric terms in the cross section can be projected out by means of a generalized set of weights involving Bessel functions. Advantages of employing these Bessel weights are that they suppress (divergent) contributions from high transverse momentum and that soft factors cancel in (Bessel-) weighted asymmetries. Also, the resulting compact expressions immediately connect to previous work on evolution equations for transverse momentum dependent parton distribution and fragmentation functions and to quantities accessible in lattice QCD. Bessel-weighted asymmetries are thus model independent observables that augment the description and our understanding of correlations of spin and momentum in nucleon structure.},
doi = {10.1063/1.3667306},
url = {https://www.osti.gov/biblio/22004007}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1418,
place = {United States},
year = {2011},
month = {12}
}