2015
DOI: 10.1103/physrevd.91.094035
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N-jettiness soft function at next-to-next-to-leading order

Abstract: We present a general framework for the calculation of soft functions for SCET I observables through next-to-next-to-leading order (NNLO) in the strong coupling constant. As an example of our formalism we show how it can be used to obtain the complete NNLO soft function for the N -jettiness event shape variable. We present numerical results for two examples with phenomenological impact: the one-jettiness soft function for both electron-proton and proton-proton collisions.

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Cited by 111 publications
(132 citation statements)
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“…However, more work is required to understand its structure, and an efficient organization of the color correlations at finite N c . Furthermore for the soft subjet factorization theorem, the final soft function has an additional eikonal line, since the jet substructure is resolved by the long wavelength global soft modes, further complicating the calculation (although there has recently been some progress in the computation of soft functions [165,166]). We emphasize however, that these are purely technical complications, and believe that the extension to a calculation of jet substructure in pp would be well worthwhile for improving our understanding of analytic jet substructure.…”
Section: Jhep05(2016)117mentioning
confidence: 99%
“…However, more work is required to understand its structure, and an efficient organization of the color correlations at finite N c . Furthermore for the soft subjet factorization theorem, the final soft function has an additional eikonal line, since the jet substructure is resolved by the long wavelength global soft modes, further complicating the calculation (although there has recently been some progress in the computation of soft functions [165,166]). We emphasize however, that these are purely technical complications, and believe that the extension to a calculation of jet substructure in pp would be well worthwhile for improving our understanding of analytic jet substructure.…”
Section: Jhep05(2016)117mentioning
confidence: 99%
“…[30]. The beam function B [31,32], the jet function J i [33,34] and the soft function S N for jets [35] and for the massive case [36] are all known to the required NNLO level. The results of eq.…”
Section: Review Of the Leading-power Factorization Theoremmentioning
confidence: 99%
“…[69,70]. The corresponding two-loop soft functions are also known for zero-jettiness [71,72] and for general Njettiness [73]. The first process calculated at NNLO using this method was pp → W +jet [16], followed by calculations of the pp → Higgs+jet [8] and pp → Z +jet [18] processes, and by detailed phenomenological studies of these processes at this order [74][75][76].…”
Section: Introductionmentioning
confidence: 99%