Bessel weighted asymmetries

Harut Avakian, Leonard Gamberg, Patrizia Rossi, Alexei Prokudin

Research output: Contribution to journalConference article

Abstract

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.

Original languageEnglish (US)
Article number42
JournalProceedings of Science
Volume26-30-May-2015
StatePublished - Jan 1 2015
Event2015 QCD Evolution, QCDEV 2015 - Newport News, United States
Duration: May 26 2015May 30 2015

Fingerprint

transverse momentum
asymmetry
partons
inelastic scattering
Bessel functions
cross sections
energy conservation
convolution integrals
acceptability
conservation
fragmentation
generators
distribution functions
quarks
momentum
products
energy

All Science Journal Classification (ASJC) codes

  • General

Cite this

Avakian, H., Gamberg, L., Rossi, P., & Prokudin, A. (2015). Bessel weighted asymmetries. Proceedings of Science, 26-30-May-2015, [42].
Avakian, Harut ; Gamberg, Leonard ; Rossi, Patrizia ; Prokudin, Alexei. / Bessel weighted asymmetries. In: Proceedings of Science. 2015 ; Vol. 26-30-May-2015.
@article{53ef1083fb1c4de3879a888c485e348a,
title = "Bessel weighted asymmetries",
abstract = "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.",
author = "Harut Avakian and Leonard Gamberg and Patrizia Rossi and Alexei Prokudin",
year = "2015",
month = "1",
day = "1",
language = "English (US)",
volume = "26-30-May-2015",
journal = "Proceedings of Science",
issn = "1824-8039",
publisher = "Sissa Medialab Srl",

}

Avakian, H, Gamberg, L, Rossi, P & Prokudin, A 2015, 'Bessel weighted asymmetries', Proceedings of Science, vol. 26-30-May-2015, 42.

Bessel weighted asymmetries. / Avakian, Harut; Gamberg, Leonard; Rossi, Patrizia; Prokudin, Alexei.

In: Proceedings of Science, Vol. 26-30-May-2015, 42, 01.01.2015.

Research output: Contribution to journalConference article

TY - JOUR

T1 - Bessel weighted asymmetries

AU - Avakian, Harut

AU - Gamberg, Leonard

AU - Rossi, Patrizia

AU - Prokudin, Alexei

PY - 2015/1/1

Y1 - 2015/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84988568701&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84988568701&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:84988568701

VL - 26-30-May-2015

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

M1 - 42

ER -

Avakian H, Gamberg L, Rossi P, Prokudin A. Bessel weighted asymmetries. Proceedings of Science. 2015 Jan 1;26-30-May-2015. 42.