Bessel-Weighted Asymmetries in Semi Inclusive Deep Inelastic Scattering

Journal Article · Sat Oct 01 04:00:00 EDT 2011 · Journal of High Energy Physics

DOI:https://doi.org/10.1007/JHEP10(2011)021· OSTI ID:1035556

The concept of weighted asymmetries is revisited for semi-inclusive deep inelastic scattering. 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: 1035556
• Report Number(s): JLAB-THY-11-1327; DOE/OR/23177-1650
• Journal Information: Journal of High Energy Physics, Journal Name: Journal of High Energy Physics Journal Issue: 10 Vol. 2011
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BESSEL FUNCTIONS
CROSS SECTIONS
DEEP INELASTIC SCATTERING
DISTRIBUTION
DISTRIBUTION FUNCTIONS
FRAGMENTATION
NUCLEONS
QUANTUM CHROMODYNAMICS
SPIN
TRANSVERSE MOMENTUM