Abstract
We present a first-principle computation of the mass distribution of jets which have undergone the grooming procedure known as Soft Drop. This calculation includes the resummation of the large logarithms of the jet mass over its transverse momentum, up to next-to-logarithmic accuracy, matched to exact fixed-order results at next-to-leading order. We also include non-perturbative corrections obtained from Monte-Carlo simulations and discuss analytic expressions for hadronisation and Underlying Event effects.
Highlights
The study of jets at the Large Hadron Collider (LHC) has recently taken a new turn with new substructure observables [1,2] amenable to precise theory calculations [3– 5], including genuine theory uncertainty bands, and corresponding experimental measurements from both the CMS [6] and ATLAS [7] collaborations
We present a first-principle computation of the mass distribution of jets which have undergone the grooming procedure known as Soft Drop
We provide an analytic estimate of non-perturbative corrections, extending to the Soft Drop case the analytic results obtained in Ref. [1] for the mMDT
Summary
The study of jets at the Large Hadron Collider (LHC) has recently taken a new turn with new substructure observables [1,2] amenable to precise theory calculations [3– 5], including genuine theory uncertainty bands, and corresponding experimental measurements from both the CMS [6] and ATLAS [7] collaborations. When β = 0, the logarithmic counting differs from the mMDT case, essentially because Soft Drop retains soft-collinear radiation, which is always groomed away by mMDT. In this case, the SCET-based calculation from Ref. After a brief review of the Soft Drop procedure, we will present our results first in the resummation region, matched to fixed-order. We provide an analytic estimate of non-perturbative corrections, extending to the Soft Drop case the analytic results obtained in Ref. We conclude by providing and discussing our final predictions, including the theory uncertainty bands These have already been compared to experimental data in [7], where a good agreement was found, especially in the perturbative region. Starting from j, it applies the following iterative procedure:
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