Transverse-energy-energy correlations in deep inelastic scattering

• Published in: The journal of high energy physics Vol. 2020; no. 11; pp. 1 - 16
• Main Authors: Li, Hai Tao, Vitev, Ivan, Zhu, Yu Jiao
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2020; Springer Nature B.V; Springer Berlin; SpringerOpen
• Subjects: Atomic, Nuclear and Particle Physics; Classical and Quantum Gravitation; Convolution; Correlation; Cross-sections; Deep Inelastic Scattering (Phenomenology); Distribution functions; Elementary Particles; Energy; High energy physics; Inelastic scattering; Leptons; Mathematical analysis; Partons; Physics; Physics and Astronomy; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QCD Phenomenology; Quantum chromodynamics; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Deep Inelastic Scattering (Phenomenology); QCD Phenomenology
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP11(2020)051

A bstract Event shape observables have been widely used for precision QCD studies at various lepton and hadron colliders. We present the most accurate calculation of the transverse-energy-energy correlation event shape variable in deep-inelastic scattering. In the framework of soft-collinear effective theory the cross section is factorized as the convolution of the hard function, beam function, jet function and soft function in the back-to-back limit. A close connection to TMD factorization is established, as the beam function when combined with part of the soft function is identical to the conventional TMD parton distribution function, and the jet function is the second moment of the TMD fragmentation function matching coefficient. We validate our framework by comparing the obtained LO and NLO leading singular distributions to the full QCD calculations in the back-to-back limit. We report the resummed transverse-energy-energy correlation distributions up to N 3 LL accuracy matched with the NLO cross section for the production of a lepton and two jets. Our work provides a new way to precisely study TMD physics at the future Electron-Ion Collider.