期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP09(2020)132
关键词
Jets; NLO Computations
资金
- Spanish MINECO Ramon y Cajal program [RYC2014-16022]
- MECD [FPA2016-78645-P]
- IFT Centro de Excelencia Severo Ochoa Program [SEV-2012-0249]
- EU STRONG-2020 project under the program H2020-INFRAIA-2018-1 [824093]
- COST Action PARTICLEFACE [CA16201]
- FPI scholarship - Spanish MICINN [BES-2017-081399]
- FWF Austrian Science Fund [P28535-N27]
- FWF Doctoral Program Particles and Interactions [W1252-N27]
- Austrian Science Fund (FWF) [P28535] Funding Source: Austrian Science Fund (FWF)
In a recent paper we have shown how to optimally compute the differential and cumulative cross sections for massive event-shapes at O(ffs) in full QCD. In the present article we complete our study by obtaining resummed expressions for non-recoil-sensitive observables to N2LL + O(ffs) precision. Our results can be used for thrust, heavy jet mass and C-parameter distributions in any massive scheme, and are easily generalized to angularities and other event shapes. We show that the so-called E- and P-schemes coincide in the collinear limit, and compute the missing pieces to achieve this level of accuracy: the P-scheme massive jet function in Soft-Collinear Effective Theory (SCET) and boosted Heavy Quark Effective Theory (bHQET). The resummed expression is subsequently matched into fixed-order QCD to extend its validity towards the tail and fartail of the distribution. The computation of the jet function cannot be cast as the discontinuity of a forward-scattering matrix element, and involves phase space integrals in d = 4 2 dimensions. We show how to analytically solve the renormalization group equation for the P-scheme SCET jet function, which is significantly more complicated than its 2-jettiness counterpart, and derive rapidly-convergent expansions in various kinematic regimes. Finally, we perform a numerical study to pin down when mass effects become more relevant.
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