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N-jettiness subtractions for g g → H at subleading power

By Ian Moult, Lorena Rothen, Iain W. Stewart, Frank J. Tackmann and Hua Xing Zhu

Abstract

N-jettiness subtractions provide a general approach for performing fully-differential next-to-next-to-leading order (NNLO) calculations. Since they are based on the physical resolution variable N-jettiness, $\mathcal{T}$N, subleading power corrections in $\tau=\mathcal{T}$N/Q, with Q a hard interaction scale, can also be systematically computed. We study the structure of power corrections for 0-jettiness, $\mathcal{T}$0, for the gg → H process. Using the soft-collinear effective theory we analytically compute the leading power corrections αsτlnτ and $\alpha_{2s\tau}$ln$\tau$ and $\alpha_{s}^{2}$In$^{3}\tau$ (finding partial agreement with a previous result in the literature), and perform a detailed numerical study of the power corrections in the gg, gq, and $q\bar{q}$ channels. This includes a numerical extraction of the αsτ and $\alpha_{s\tau}$ and $\alpha_{s}^{2}$In$^{2}\tau$ corrections, and a study of the dependence on the $\mathcal{T}$0 definition. Including such power suppressed logarithms significantly reduces the size of missing power corrections, and hence improves the numerical efficiency of the subtraction method. Having a more detailed understanding of the power corrections for both $q\bar{q}$ and gg initiated processes also provides insight into their universality, and hence their behavior in more complicated processes where they have not yet been analytically calculated

Topics: info:eu-repo/classification/ddc/530
Publisher: APS
Year: 2018
DOI identifier: 10.1103/PhysRevD.97.014013
OAI identifier: oai:bib-pubdb1.desy.de:400292
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