4.4 Article

NLO massive event-shape differential and cumulative distributions

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP03(2020)024

关键词

Perturbative QCD; Heavy Quark Physics; Quark Masses and SM Parameters

资金

  1. FWF Austrian Science Fund [P28535-N27]
  2. Spanish MINECO Ramon y Cajal program [RYC-2014-16022]
  3. MECD [FPA2016-78645-P]
  4. IFT Centro de Excelencia Severo Ochoa Program [SEV-2012-0249]
  5. EU STRONG-2020 project under the program H2020-INFRAIA-2018-1 [824093]
  6. COST Action PARTICLEFACE [CA16201]
  7. FWF Doctoral Program Particles and Interactions [W1252-N2]
  8. Austrian Science Fund (FWF) [P28535] Funding Source: Austrian Science Fund (FWF)

向作者/读者索取更多资源

We provide a general method to effectively compute differential and cumulative event-shape distributions to O(alpha(s)) precision for massive quarks produced primarily at an e(+)e(-) collider. In particular, we show that at this order, due to the screening of collinear singularities by the quark mass, for all event shapes linearly sensitive to soft dynamics, there appear only two distributions at threshold: a Dirac delta function and a plus distribution. Furthermore, we show that the coefficient of the latter is universal for any infra-red and collinear safe event shape, and provide an analytic expression for it. Likewise, we compute a general formula for the coefficient of the Dirac delta function, which depends only on the event-shape measurement function in the soft limit. Finally, we present an efficient algorithm to compute the differential and cumulative distributions, which does not rely on Monte Carlo methods, therefore achieving a priory arbitrary precision even in the extreme dijet region. We implement this algorithm in a numeric code and show that it agrees with analytic results on the distribution for 2-jettiness, heavy jet mass and a massive generalization of C-parameter.

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