2011
DOI: 10.1007/jhep01(2011)059
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A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the iterated singly-unresolved subtraction terms

Abstract: Abstract:We perform the integration of all iterated singly-unresolved subtraction terms, as defined in ref. [1], over the two-particle factorized phase space. We also sum over the unresolved parton flavours. The final result can be written as a convolution (in colour space) of the Born cross section and an insertion operator. We spell out the insertion operator in terms of 24 basic integrals that are defined explicitly. We compute the coefficients of the Laurent expansion of these integrals in two different wa… Show more

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Cited by 57 publications
(62 citation statements)
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“…This has been possible thanks to the development of subtraction schemes [62][63][64][65][66][67][68][69][70], slicing methods [60,61,71] and the calculation of several two-to-two virtual amplitudes [72][73][74][75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90][91]. As far as top-quark pair production is concerned, besides our own calculation [10,92] only partial results are known at the differential level [93,94]; there is also progress at the level of total crosssection [95] obtained with slicing methods.…”
Section: Jhep05(2016)034mentioning
confidence: 99%
“…This has been possible thanks to the development of subtraction schemes [62][63][64][65][66][67][68][69][70], slicing methods [60,61,71] and the calculation of several two-to-two virtual amplitudes [72][73][74][75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90][91]. As far as top-quark pair production is concerned, besides our own calculation [10,92] only partial results are known at the differential level [93,94]; there is also progress at the level of total crosssection [95] obtained with slicing methods.…”
Section: Jhep05(2016)034mentioning
confidence: 99%
“…Refs. [10][11][12][13][14][15][16] and references therein). The purely weak corrections of O (α 2 s α) have been calculated for the single-jet-inclusive cross section in Ref.…”
Section: Introductionmentioning
confidence: 99%
“…There are several variants of the subtraction method at NLO and beyond [1,2,3,4,5,6,7,8,9,10,11], which involve treating separately real and virtual contributions. Besides the computational difficulty related to the fact that the final-state phase-space of the different contributions involves different number of particles, building these counter-terms represents a challenge and introduces a potential bottleneck to efficiently carry out the infrared (IR) subtraction for multi-leg multi-loop processes.…”
Section: The Loop-tree Dualitymentioning
confidence: 99%