Abstract
Jet grooming has emerged as a necessary and vital tool for mitigating contamination radiation in jets. The additional restrictions on emissions imposed by the groomer can result in non-smooth behavior of resulting fixed-order distributions of observables measured on groomed jets. As a concrete example, we study the cusp in the hemisphere mass distribution of e+e−→ hadrons events groomed with soft drop. We identify the leading emissions that contribute in the region about the cusp and formulate an all-orders factorization theorem that describes how the cusp is resolved through arbitrary strongly-ordered soft and collinear emissions. The factorization theorem exhibits numerous novel features such as contributions from collinear modes that can cross hemisphere boundaries as well as requiring explicit subtraction of the limit in which resolved emissions become collinear to the hard core. We present resummation of the cusp region through next-to-leading logarithmic accuracy and describe how it can be matched with established factorization theorems that describe other groomed phase space regions.
Highlights
Analyses on individual jets have matured into a precision theoretical and experimental program to test quantum chromodynamics
We identify the leading emissions that contribute in the region about the cusp and formulate an all-orders factorization theorem that describes how the cusp is resolved through arbitrary strongly-ordered soft and collinear emissions
Having validated our factorization theorem for the cusp region of the soft drop groomer, we present the expression for the groomed heavy hemisphere cross section at nextα σ ρ ρ =
Summary
Analyses on individual jets have matured into a precision theoretical and experimental program to test quantum chromodynamics. Following the development of the modified mass drop tagger (mMDT) [1] and soft drop [2] groomers, theoretical predictions have pushed precision boundaries [3,4,5,6,7], extending resummation of observables on jets to nextto-next-to-leading logarithmic accuracy [8, 9] and beyond [10, 11] Motivated by these results, unfolded experimental measurements of groomed jet mass have been performed at both the CMS [12] and ATLAS [13, 14] experiments at the Large Hadron Collider, and have been directly compared to theory predictions. Calculational details of the anomalous dimensions of the functions appearing in the factorization theorem are presented in the appendices
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