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

Journal Article · Wed Jan 01 00:00:00 EST 2020 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.101.016005· OSTI ID:1581214

Boughezal, Radja; Isgrò, Andrea ; Petriello, Frank

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.

• Research Organization: Argonne National Laboratory (ANL), Argonne, IL (United States); Northwestern Univ., Evanston, IL (United States)
• Sponsoring Organization: National Science Foundation (NSF); USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: AC02-06CH11357; FG02-91ER40684; NSF-1520916
• OSTI ID: 1581214
• Alternate ID(s): OSTI ID: 1607454
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Vol. 101 Journal Issue: 1; ISSN 2470-0010
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

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