Abstract
We develop a factorization framework to compute the double differential cross section in soft drop groomed jet mass and groomed jet radius. We describe the effective theories in the large, intermediate, and small groomed jet radius regions defined by the interplay of the jet mass and the groomed jet radius measurement. As an application we present the NLL′ results for the perturbative moments that are related to the coefficients C1 and C2 that specify the leading hadronization corrections up to three universal parameters. We compare our results with Monte Carlo simulations and a calculation using the coherent branching method.
Highlights
The physics of jets and their substructure has seen rapid development during the past decade
Since our focus is on making predictions for C1q,2, where non-global logarithms (NGLs) effects in the global soft sector do not contribute, we will not include the function ΞqG in our numerical results for the double differential cross sections presented
We show the various components that enter the calculation of the matched cross section for β = 0, 1, and 2 plotted as a function of Rg for a representative jet mass value giving log10(m2J /EJ2) = −1.7, which with our choice for EJ is mJ = 70.6 GeV
Summary
The physics of jets and their substructure has seen rapid development during the past decade. Groomed jet observables have found applications in the field of nonperturbative (NP) nuclear physics, such as in improving our understanding of hadron structure by accessing the NP initial state in the form of structure functions like the PDFs and the polarized/unpolarized TMDPDFs via scattering experiments such as DIS. This program entails that the observables chosen have small final-state nonperturbative effects, while at the same time be sensitive to the initial state hadronic physics. To obtain precision collider physics analyses using groomed observables, theoretical control and understanding of final state NP effects is as essential as an accurate description in the perturbative regime, since the NP effects can be as significant as higher order perturbative corrections
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