Bessel Weighted Asymmetries

Conference · Sun May 01 00:00:00 EDT 2016 · Proceedings of Science

OSTI ID:1263572

Avakian, Harut ^[1]; Gamberg, Leonard ^[2]; Rossi, Patrizia ^[1]; Prokudin, Alexei ^[2]

---

1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
2. Pennsylvania State Univ., University Park, PA (United States)

We review the concept of Bessel weighted asymmetries for semi-inclusive deep inelastic scattering and focus on 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. The procedure is applied to studies of the double longitudinal spin asymmetry in semi-inclusive deep inelastic scattering using a new dedicated Monte Carlo generator which includes quark intrinsic transverse momentum within the generalized parton model. We observe a few percent systematic offset of the Bessel-weighted asymmetry obtained from Monte Carlo extraction compared to input model calculations, which is due to the limitations imposed by the energy and momentum conservation at the given energy and hard scale Q2. We find that the Bessel weighting technique provides a powerful and reliable tool to study the Fourier transform of TMDs with controlled systematics due to experimental acceptances and resolutions with different TMD model inputs.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 1263572
• Report Number(s): JLAB-THY-16-2205; DOE/OR/23177-3859
• Journal Information: Proceedings of Science, Vol. QCDEV2015; Conference: QCD Evolution 2015 Workshop at Jlab, Newport News, VA, USA, May 26-30, 2015
• Country of Publication: United States
• Language: English