Report/Journal Article

PUBDB-2017-01801

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Subleading power corrections for $N$-jettiness subtractions

Moult, I. (Corresponding author) ; Rothen, L.DESY* ; Stewart, I. W. ; Tackmann, F. J.DESY* ; Zhu, H. X.

2017
APS Woodbury, NY

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Please use a persistent id in citations: doi:10.1103/PhysRevD.95.074023

Report No.: DESY-16-229; MIT-CTP-4855; arXiv:1612.00450

Abstract: The $N$-jettiness observable $\mathcal{T}_N$ provides a way of describing the leading singular behavior of the $N$-jet cross section in the $\tau =\mathcal{T}_N/Q \to 0$ limit, where $Q$ is a hard interaction scale. We consider subleading power corrections in the $\tau \ll 1$ expansion, and employ soft-collinear effective theory to obtain analytic results for the dominant $\alpha_s \tau \ln\tau$ and $\alpha_s^2 \tau\ln^3\tau$ subleading terms for thrust in $e^+e^-$ collisions and $0$-jettiness for $q\bar q$-initiated Drell-Yan-like processes at hadron colliders. These results can be used to significantly improve the numerical accuracy and stability of the $N$-jettiness subtraction technique for performing fixed-order calculations at NLO and NNLO. They reduce the size of missing power corrections in the subtractions by an order of magnitude. We also point out that the precise definition of $N$-jettiness has an important impact on the size of the power corrections and thus the numerical accuracy of the subtractions. The sometimes employed definition of $N$-jettiness in the hadronic center-of-mass frame suffers from power corrections that grow exponentially with rapidity, causing the power expansion to deteriorate away from central rapidity. This degradation does not occur for the original $N$-jettiness definition, which explicitly accounts for the boost of the Born process relative to the frame of the hadronic collision, and has a well-behaved power expansion throughout the entire phase space. Integrated over rapidity, using this $N$-jettiness definition in the subtractions yields another order of magnitude improvement compared to employing the hadronic-frame definition.

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)
2. Emmy Noether - Emmy Noether Nachwuchsgruppe (EmmyNoether) (EmmyNoether)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2017

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Database coverage:
; ; ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint/Report Moult, I. (Corresponding author) ; Rothen, L.DESY* ; Stewart, I. W. ; Tackmann, F. J.DESY* ; Zhu, H. X.
Subleading Power Corrections for N-Jettiness Subtractions
[10.3204/PUBDB-2016-06338]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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