Dynamical grooming meets LHC data

TL;DR

This paper provides a detailed theoretical analysis of the momentum sharing and angular distributions in jet splittings using dynamical grooming, achieving high-precision calculations and comparing them with Monte Carlo simulations and experimental data.

Contribution

It introduces an all-orders resummation framework for jet splitting observables with dynamical grooming, including N2DL accuracy and phenomenological validation against LHC data.

Findings

Resummation does not exponentiate and is free of clustering logarithms.

Analytic calculations match well with Monte Carlo simulations after non-perturbative corrections.

First analytic comparison with ALICE data shows good agreement after corrections.

Abstract

In this work, we analyse the all-orders resummation structure of the momentum sharing fraction, $z_g$, opening angle, $\theta_g$, and relative transverse momentum, $k_{t,g}$, of the splitting tagged by the dynamical grooming procedure in hadronic collisions. We demonstrate that their resummation does non-exponentiate and it is free of clustering logarithms. Then, we analytically compute the probability distributions of ($z_g$, $\theta_g$, $k_{t,g}$) up to next-to next-to-double logarithm accuracy (N2DL) in the narrow jet limit, including a matching to leading order in $\alpha_s$. On the phenomenological side, we perform an analytic-to-parton level comparison with Pythia and Herwig. We find that differences between the analytic and the Monte-Carlo results are dominated by the infra-red regulator of the parton shower. Further, we present the first analytic comparison to preliminary ALICE data and highlight the role of non-perturbative corrections in such low-$p_t$ regime. Once the analytic result is corrected by a phenomenologically determined non-perturbative factor, we find very good agreement with the data.