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The Sudakov radiator for jet observables and the soft physical coupling

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posted on 2023-06-09, 16:05 authored by Andrea BanfiAndrea Banfi, Basem El-Menoufi, Pier Francesco Monni
We present a procedure to calculate the Sudakov radiator for a generic recursive infrared and collinear (rIRC) safe observable whose distribution is characterised by two widely separated momentum scales. We give closed formulae for the radiator at next-to-next-to-leading-logarithmic (NNLL) accuracy, which completes the general NNLL resummation for this class of observables in the ARES method for processes with two emitters at the Born level. As a byproduct, we define a physical coupling in the soft limit, and we provide an explicit expression for its relation to the MS coupling up to O(a 3 s ). This physical coupling constitutes one of the ingredients for a NNLL accurate parton shower algorithm. As an application we obtain analytic NNLL results, of which several are new, for all angularities tx defined with respect to both the thrust axis and the winner-take-all axis, and for the moments of energy-energy correlation F Cx in e +e - annihilation. For the latter observables we find that, for some values of x, an accurate prediction of the peak of the differential distribution requires a simultaneous resummation of the logarithmic terms originating from the two-jet limit and at the Sudakov shoulder.

History

Publication status

  • Published

File Version

  • Published version

Journal

Journal of High Energy Physics

ISSN

1126-6708

Publisher

Institute of Physics

Issue

83

Volume

2019

Page range

1-39

Department affiliated with

  • Physics and Astronomy Publications

Research groups affiliated with

  • Theoretical Particle Physics Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2019-01-11

First Open Access (FOA) Date

2019-01-11

First Compliant Deposit (FCD) Date

2019-01-10

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