Abstract
We present results for the soft drop groomed jet radius Rg at next-to-leading logarithmic accuracy. The radius of a groomed jet which corresponds to the angle between the two branches passing the soft drop criterion is one of the characteristic observables relevant for the precise understanding of groomed jet substructure. We establish a factorization formalism that allows for the resummation of all relevant large logarithms, which is based on demonstrating the all order equivalence to a jet veto in the region between the boundaries of the groomed and ungroomed jet. Non-global logarithms including clustering effects due to the Cambridge/Aachen algorithm are resummed to all orders using a suitable Monte Carlo algorithm. We perform numerical calculations and find a very good agreement with Pythia 8 simulations. We provide theoretical predictions for the LHC and RHIC.
Highlights
One of the interesting features of soft drop grooming is that the radius of the groomed jet is adjusted dynamically, capturing only the hard collinear core of the jet [4] which we study in this work within perturbative QCD
We extend the calculation to nextto-leading logarithmic (NLL) accuracy using a factorization formalism developed within Soft Collinear Effective Theory (SCET) [45,46,47,48,49], which is suitable for the extension to yet higher perturbative accuracy
We considered the soft drop groomed jet radius θg = Rg/R at next-to-leading logarithmic accuracy
Summary
We develop the factorization theorem for the soft drop groomed jet radius within SCET. We work in the limit where the observed jet is sufficiently collimated R 1 and we drop power corrections of the form O(R2) This type of power corrections are generally found to be small even for relatively large values of the jet radius [63]. In this limit, the production of an energetic parton in a hard-scattering event factorizes from the formation and evolution of the jet initiated by the produced parton. We note that for β > 0, the leading logarithmic contribution is ∼ ln θg whereas for β = 0 it is ∼ ln θg ln zcut This can be achieved by a refactorization of the semi-inclusive jet function Gc in order to separate the physics at different scales in the relevant kinematic regime. RG evolution equations allow for the resummation of all relevant large logarithms
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