# Next-to-leading-logarithmic power corrections for $N$ -jettiness subtraction in color-singlet production

## Abstract

We present a detailed derivation of the power corrections to the factorization theorem for the 0-jettiness event shape variable T. Our calculation is performed directly in QCD without using the formalism of effective field theory. We analytically calculate the next-to-leading logarithmic power corrections for small T at next-to-leading order in the strong coupling constant, extending previous computations which obtained only the leading-logarithmic power corrections. We address a discrepancy in the literature between results for the leading-logarithmic power corrections to a particular definition of 0-jettiness. We present a numerical study of the power corrections in the context of their application to the N-jettiness subtraction method for higher-order calculations, using gluon-fusion Higgs production as an example. The inclusion of the next-to-leading-logarithmic power corrections further improves the numerical efficiency of the approach beyond the improvement obtained from the leading-logarithmic power corrections.

- Authors:

- Publication Date:

- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

- OSTI Identifier:
- 1471379

- DOE Contract Number:
- AC02-06CH11357

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Volume: 97; Journal Issue: 7; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

### Citation Formats

```
Boughezal, Radja, Isgrò, Andrea, and Petriello, Frank.
```*Next-to-leading-logarithmic power corrections for N -jettiness subtraction in color-singlet production*. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.97.076006.

```
Boughezal, Radja, Isgrò, Andrea, & Petriello, Frank.
```*Next-to-leading-logarithmic power corrections for N -jettiness subtraction in color-singlet production*. United States. doi:10.1103/PhysRevD.97.076006.

```
Boughezal, Radja, Isgrò, Andrea, and Petriello, Frank. Sun .
"Next-to-leading-logarithmic power corrections for N -jettiness subtraction in color-singlet production". United States. doi:10.1103/PhysRevD.97.076006.
```

```
@article{osti_1471379,
```

title = {Next-to-leading-logarithmic power corrections for N -jettiness subtraction in color-singlet production},

author = {Boughezal, Radja and Isgrò, Andrea and Petriello, Frank},

abstractNote = {We present a detailed derivation of the power corrections to the factorization theorem for the 0-jettiness event shape variable T. Our calculation is performed directly in QCD without using the formalism of effective field theory. We analytically calculate the next-to-leading logarithmic power corrections for small T at next-to-leading order in the strong coupling constant, extending previous computations which obtained only the leading-logarithmic power corrections. We address a discrepancy in the literature between results for the leading-logarithmic power corrections to a particular definition of 0-jettiness. We present a numerical study of the power corrections in the context of their application to the N-jettiness subtraction method for higher-order calculations, using gluon-fusion Higgs production as an example. The inclusion of the next-to-leading-logarithmic power corrections further improves the numerical efficiency of the approach beyond the improvement obtained from the leading-logarithmic power corrections.},

doi = {10.1103/PhysRevD.97.076006},

journal = {Physical Review D},

issn = {2470-0010},

number = 7,

volume = 97,

place = {United States},

year = {2018},

month = {4}

}