# Bessel-Weighted Asymmetries in Semi Inclusive Deep Inelastic Scattering

## Abstract

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.

- Authors:

- Publication Date:

- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1035556

- Report Number(s):
- JLAB-THY-11-1327; DOE/OR/23177-1650

TRN: US1201152

- DOE Contract Number:
- AC05-06OR23177

- Resource Type:
- Journal Article

- Journal Name:
- Journal of High Energy Physics

- Additional Journal Information:
- Journal Volume: 2011; Journal Issue: 10

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 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

### Citation Formats

```
D. Boer, L. Gamberg, B.U. Musch, A. Prokudin.
```*Bessel-Weighted Asymmetries in Semi Inclusive Deep Inelastic Scattering*. United States: N. p., 2011.
Web. doi:10.1007/JHEP10(2011)021.

```
D. Boer, L. Gamberg, B.U. Musch, A. Prokudin.
```*Bessel-Weighted Asymmetries in Semi Inclusive Deep Inelastic Scattering*. United States. https://doi.org/10.1007/JHEP10(2011)021

```
D. Boer, L. Gamberg, B.U. Musch, A. Prokudin. Sat .
"Bessel-Weighted Asymmetries in Semi Inclusive Deep Inelastic Scattering". United States. https://doi.org/10.1007/JHEP10(2011)021. https://www.osti.gov/servlets/purl/1035556.
```

```
@article{osti_1035556,
```

title = {Bessel-Weighted Asymmetries in Semi Inclusive Deep Inelastic Scattering},

author = {D. Boer, L. Gamberg, B.U. Musch, A. Prokudin},

abstractNote = {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.},

doi = {10.1007/JHEP10(2011)021},

url = {https://www.osti.gov/biblio/1035556},
journal = {Journal of High Energy Physics},

number = 10,

volume = 2011,

place = {United States},

year = {2011},

month = {10}

}