# Next-to-leading power corrections to $V+1$ jet production in $N$ -jettiness subtraction

## Abstract

We discuss the subleading power corrections to one-jet production processes in $N$-jettiness subtraction using vector-boson plus jet production as an example. We analytically derive the next-to-leading power (NLP) leading logarithmic corrections through $\mathcal{O}\left({\alpha}_{S}\right)$ in perturbative QCD and outline the calculation of the next-to-leading logarithmic corrections. Our result is differential in the jet transverse momentum and rapidity, and in the vector boson momentum squared and rapidity. We present simple formulas that separate the NLP corrections into universal factors valid for any one-jet cross section and process-dependent matrix-element corrections. We discuss in detail features of the NLP corrections such as the process independence of the leading-logarithmic result that occurs due to the factorization of matrix elements in the subleading soft limit, the occurrence of poles in the nonhemisphere soft function at NLP, and the cancellation of potential $\sqrt{{\mathcal{T}}_{1}/Q}$ corrections to the $N$-jettiness factorization theorem. We validate our analytic result by comparing them to numerically fitted coefficients, finding good agreement for both the inclusive and the differential cross sections. The size of the power corrections for different definitions of ${\mathcal{T}}_{1}$ is studied.

- Authors:

- Publication Date:

- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States); Northwestern Univ., Evanston, IL (United States)

- Sponsoring Org.:
- National Science Foundation (NSF); USDOE Office of Science (SC), High Energy Physics (HEP)

- OSTI Identifier:
- 1581214

- Alternate Identifier(s):
- OSTI ID: 1607454

- Grant/Contract Number:
- AC02-06CH11357; FG02-91ER40684; NSF-1520916

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 1; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Boughezal, Radja, Isgrò, Andrea, and Petriello, Frank. Next-to-leading power corrections to V+1 jet production in N -jettiness subtraction. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.101.016005.
```

```
Boughezal, Radja, Isgrò, Andrea, & Petriello, Frank. Next-to-leading power corrections to V+1 jet production in N -jettiness subtraction. United States. doi:https://doi.org/10.1103/PhysRevD.101.016005
```

```
Boughezal, Radja, Isgrò, Andrea, and Petriello, Frank. Wed .
"Next-to-leading power corrections to V+1 jet production in N -jettiness subtraction". United States. doi:https://doi.org/10.1103/PhysRevD.101.016005.
```

```
@article{osti_1581214,
```

title = {Next-to-leading power corrections to V+1 jet production in N -jettiness subtraction},

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

abstractNote = {We discuss the subleading power corrections to one-jet production processes in N-jettiness subtraction using vector-boson plus jet production as an example. We analytically derive the next-to-leading power (NLP) leading logarithmic corrections through O(αS) in perturbative QCD and outline the calculation of the next-to-leading logarithmic corrections. Our result is differential in the jet transverse momentum and rapidity, and in the vector boson momentum squared and rapidity. We present simple formulas that separate the NLP corrections into universal factors valid for any one-jet cross section and process-dependent matrix-element corrections. We discuss in detail features of the NLP corrections such as the process independence of the leading-logarithmic result that occurs due to the factorization of matrix elements in the subleading soft limit, the occurrence of poles in the nonhemisphere soft function at NLP, and the cancellation of potential T1/Q corrections to the N-jettiness factorization theorem. We validate our analytic result by comparing them to numerically fitted coefficients, finding good agreement for both the inclusive and the differential cross sections. The size of the power corrections for different definitions of T1 is studied.},

doi = {10.1103/PhysRevD.101.016005},

journal = {Physical Review D},

number = 1,

volume = 101,

place = {United States},

year = {2020},

month = {1}

}

DOI: https://doi.org/10.1103/PhysRevD.101.016005

*Citation information provided by*

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