QCD resummation for groomed jet observables at NNLL+NLO

• Published in: The journal of high energy physics Vol. 2023; no. 1; pp. 45 - 35
• Main Authors: Dasgupta, Mrinal, El-Menoufi, Basem Kamal, Helliwell, Jack
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2023; Springer Nature B.V; SpringerOpen
• Subjects: Accuracy; Algorithms; Classical and Quantum Gravitation; Clustering; Elementary Particles; High energy physics; Jets and Jet Substructure; Mathematical analysis; Phenomenology; Physics; Physics and Astronomy; Quantum chromodynamics; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Radiation; Regular Article - Theoretical Physics; Relativity Theory; Resummation; String Theory; Theoretical physics; Resummation; Jets and Jet Substructure
• ISSN: 1029-8479; 1126-6708; 1127-2236; 1029-8479
• DOI: 10.1007/JHEP01(2023)045

A bstract We use a direct QCD approach to carry out the next-to-next-to-leading logarithmic (NNLL) resummation for observables groomed with the modified mass-drop tagger (Soft Drop β = 0). We focus on observables which are additive given an arbitrary number of soft-collinear emissions. For this class of observables, we arrange the structure of the NNLL terms into two distinct categories. The first defines a simplified inclusive tagger, whereby the NNLL collinear structure is directly related to ungroomed observables. The second defines a clustering correction which takes a particularly simple form when the Cambridge-Aachen (C/A) algorithm is used to cluster the jets. We provide, in addition to the QCD resummation of groomed jet mass, the first NNLL resummed predictions, matched to NLO, for a range of groomed jet angularities with mMDT grooming. Moreover, we also include for the first time in the same calculation, finite z cut effects computed at NLL level alongside the small z cut NNLL results which simultaneously improves upon both of the calculations used for groomed jet mass phenomenological studies to date. While for simplicity we focus on e + e − collisions, the essential NNLL resummation we develop is process independent and hence with the appropriate NLO matching our results are also applicable for hadron collider phenomenology.