The Sudakov radiator for jet observables and the soft physical coupling

• DOI: 10.1007/jhep01(2019)083
• Publication Date: 2019-01-10T23:41:43Z
• Authors: Andrea Banfi; Basem Kamal El-Me...; Pier Francesco Monni
• Keywords: Resummation

A bstract We present a procedure to calculate the Sudakov radiator for generic recursive infrared and collinear (rIRC) safe observable whose distribution is characterised by two widely separated momentum scales. give closed formulae at next-to-next-to-leading-logarithmic (NNLL) accuracy, which completes general NNLL resummation this class of observables in ARES method processes with emitters Born level. As byproduct, we define physical coupling soft limit, provide an explicit expression its relation $$ \overline{\mathrm{MS}} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mrow> <mml:mi>M</mml:mi> <mml:mi>S</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> up \mathcal{O}\left({\alpha}_s^3\right) <mml:mi>O</mml:mi> <mml:mfenced> <mml:msubsup> <mml:mi>α</mml:mi> <mml:mi>s</mml:mi> <mml:mn>3</mml:mn> </mml:msubsup> </mml:mfenced> . This constitutes one ingredients accurate parton shower algorithm. application obtain analytic results, several are new, all angularities τ x defined respect both thrust axis winner-take-all axis, moments energy-energy correlation FC e + − annihilation. For latter find that, some values , prediction peak differential requires simultaneous logarithmic terms originating from two-jet limit shoulder.