### 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.

Original language | English (US) |
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Journal | Proceedings of Science |

State | Published - Dec 1 2012 |

Event | 6th International Conference on Quarks and Nuclear Physics, QNP 2012 - Palaiseau, Paris, France Duration: Apr 16 2012 → Apr 20 2012 |

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### All Science Journal Classification (ASJC) codes

- General

### Cite this

*Proceedings of Science*.

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*Proceedings of Science*.

**Bessel-weighted asymmetries and the Sivers effect.** / Gamberg, Leonard; Boer, Daniël; Musch, Bernhard; Prokudin, Alexey.

Research output: Contribution to journal › Conference article

TY - JOUR

T1 - Bessel-weighted asymmetries and the Sivers effect

AU - Gamberg, Leonard

AU - Boer, Daniël

AU - Musch, Bernhard

AU - Prokudin, Alexey

PY - 2012/12/1

Y1 - 2012/12/1

N2 - 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.

AB - 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.

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M3 - Conference article

AN - SCOPUS:84883891754

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

ER -