### 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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Title of host publication | 8th Circum-Pan-Pacific Symposium on High Energy Spin Physics, PacSPIN2011 |

Pages | 72-78 |

Number of pages | 7 |

DOIs | |

State | Published - Dec 1 2011 |

Event | 8th Circum-Pan-Pacific Symposium on High Energy Spin Physics, PacSPIN2011 - Cairns, QLD, Australia Duration: Jun 20 2011 → Jun 24 2011 |

### Publication series

Name | AIP Conference Proceedings |
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Volume | 1418 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Other

Other | 8th Circum-Pan-Pacific Symposium on High Energy Spin Physics, PacSPIN2011 |
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Country | Australia |

City | Cairns, QLD |

Period | 6/20/11 → 6/24/11 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*8th Circum-Pan-Pacific Symposium on High Energy Spin Physics, PacSPIN2011*(pp. 72-78). (AIP Conference Proceedings; Vol. 1418). https://doi.org/10.1063/1.3667306

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*8th Circum-Pan-Pacific Symposium on High Energy Spin Physics, PacSPIN2011.*AIP Conference Proceedings, vol. 1418, pp. 72-78, 8th Circum-Pan-Pacific Symposium on High Energy Spin Physics, PacSPIN2011, Cairns, QLD, Australia, 6/20/11. https://doi.org/10.1063/1.3667306

**Semi-inclusive deep inelastic scattering and Bessel-weighted asymmetries.** / Gamberg, Leonard; Boer, Daniël; Musch, Bernhard; Prokudin, Alexei.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Semi-inclusive deep inelastic scattering and Bessel-weighted asymmetries

AU - Gamberg, Leonard

AU - Boer, Daniël

AU - Musch, Bernhard

AU - Prokudin, Alexei

PY - 2011/12/1

Y1 - 2011/12/1

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.

UR - http://www.scopus.com/inward/record.url?scp=84861952542&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84861952542&partnerID=8YFLogxK

U2 - 10.1063/1.3667306

DO - 10.1063/1.3667306

M3 - Conference contribution

AN - SCOPUS:84861952542

SN - 9780735409958

T3 - AIP Conference Proceedings

SP - 72

EP - 78

BT - 8th Circum-Pan-Pacific Symposium on High Energy Spin Physics, PacSPIN2011

ER -