2011
DOI: 10.1007/jhep08(2011)010
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Two-loop soft corrections and resummation of the thrust distribution in the dijet region

Abstract: Abstract:The thrust distribution in electron-positron annihilation is a classical precision QCD observable. Using renormalization group (RG) evolution in Laplace space, we perform the resummation of logarithmically enhanced corrections in the dijet limit, T → 1 to nextto-next-to-leading logarithmic (NNLL) accuracy. We independently derive the two-loop soft function for the thrust distribution and extract an analytical expression for the NNLL resummation coefficient g 3 . Our findings confirm earlier NNLL resum… Show more

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Cited by 136 publications
(157 citation statements)
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References 118 publications
(239 reference statements)
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“…Among the mixed virtual-real and double real emissions, only the diagrams in Figure 3 give nonvanishing contributions. The same matrix elements also arise in other two-loop computations of soft functions [24][25][26][27][28][29][30][31][32], what makes our case different are the phase-space constraints and the necessity of working with an additional analytic regulator. In the following, we denote the individual contributions of these diagrams to the soft function by…”
Section: Setup Of the Calculationmentioning
confidence: 83%
“…Among the mixed virtual-real and double real emissions, only the diagrams in Figure 3 give nonvanishing contributions. The same matrix elements also arise in other two-loop computations of soft functions [24][25][26][27][28][29][30][31][32], what makes our case different are the phase-space constraints and the necessity of working with an additional analytic regulator. In the following, we denote the individual contributions of these diagrams to the soft function by…”
Section: Setup Of the Calculationmentioning
confidence: 83%
“…The expansion of the soft function for zero-jettiness up to two-loop order can be found in Refs. [71,72].…”
Section: Scet-based Non-local Subtractionmentioning
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%
“…At NNLL 0 accuracy, we need the boundary conditions at two-loop order, and the evolution to three (two) loops in the cusp (noncusp) anomalous dimensions. All required expressions are known in the literature [43,[57][58][59][60][61][62][63][64][65] and we do not reproduce them here.…”
Section: Choice Of the Jet Resolution Variablesmentioning
confidence: 99%