Semi-Inclusive Deep Inelastic Scattering and Bessel-Weighted Asymmetries

Conference · Sun Jan 01 04:00:00 EST 2012 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3667306· OSTI ID:1032448

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.

• Research Organization: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 1032448
• Report Number(s): JLAB-THY-11-1465; DOE/OR/23177-1950; arXiv:1111.0603
• Conference Information: Journal Name: AIP Conference Proceedings Journal Volume: 1418
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMMETRY
BESSEL FUNCTIONS
CROSS SECTIONS
DEEP INELASTIC SCATTERING
DISTRIBUTION
DISTRIBUTION FUNCTIONS
FRAGMENTATION
HADRONS
NUCLEONS
QUANTUM CHROMODYNAMICS
SPIN
TRANSVERSE MOMENTUM