# A complete basis of helicity operators for subleading factorization

## Abstract

Factorization theorems underly our ability to make predictions for many processes involving the strong interaction. Although typically formulated at leading power, the study of factorization at subleading power is of interest both for improving the precision of calculations, as well as for understanding the all orders structure of QCD. We use the SCET helicity operator formalism to construct a complete power suppressed basis of hard scattering operators for e ^{+}e ^{-} → dijets, e ^{-}p → e ^{-} jet, and constrained Drell-Yan, including the first two subleading orders in the amplitude level power expansion. We analyze the field content of the jet and soft function contributions to the power suppressed cross section for e ^{+}e ^{-} → dijet event shapes, and give results for the lowest order matching to the contributing operators. These results will be useful for studies of power corrections both in fixed order and resummed perturbation theory.

- Authors:

- Harvard Univ., Cambridge, MA (United States)
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

- Publication Date:

- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1485067

- Grant/Contract Number:
- AC02-05CH11231; SCD011090

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Volume: 2017; Journal Issue: 11; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Jets; QCD Phenomenology

### Citation Formats

```
Feige, Ilya, Kolodrubetz, Daniel W., Moult, Ian, and Stewart, Iain W..
```*A complete basis of helicity operators for subleading factorization*. United States: N. p., 2017.
Web. doi:10.1007/jhep11(2017)142.

```
Feige, Ilya, Kolodrubetz, Daniel W., Moult, Ian, & Stewart, Iain W..
```*A complete basis of helicity operators for subleading factorization*. United States. doi:10.1007/jhep11(2017)142.

```
Feige, Ilya, Kolodrubetz, Daniel W., Moult, Ian, and Stewart, Iain W.. Wed .
"A complete basis of helicity operators for subleading factorization". United States. doi:10.1007/jhep11(2017)142. https://www.osti.gov/servlets/purl/1485067.
```

```
@article{osti_1485067,
```

title = {A complete basis of helicity operators for subleading factorization},

author = {Feige, Ilya and Kolodrubetz, Daniel W. and Moult, Ian and Stewart, Iain W.},

abstractNote = {Factorization theorems underly our ability to make predictions for many processes involving the strong interaction. Although typically formulated at leading power, the study of factorization at subleading power is of interest both for improving the precision of calculations, as well as for understanding the all orders structure of QCD. We use the SCET helicity operator formalism to construct a complete power suppressed basis of hard scattering operators for e+e- → dijets, e-p → e- jet, and constrained Drell-Yan, including the first two subleading orders in the amplitude level power expansion. We analyze the field content of the jet and soft function contributions to the power suppressed cross section for e+e- → dijet event shapes, and give results for the lowest order matching to the contributing operators. These results will be useful for studies of power corrections both in fixed order and resummed perturbation theory.},

doi = {10.1007/jhep11(2017)142},

journal = {Journal of High Energy Physics (Online)},

issn = {1029-8479},

number = 11,

volume = 2017,

place = {United States},

year = {2017},

month = {11}

}