Effective Field Theory for jet substructure in heavy ion collisions

Abstract

I develop an Effective Field Theory (EFT) framework to compute jet substructure observables for heavy ion collision experiments. As an illustration, I consider dijet events that accompany the formation of a weakly coupled Quark Gluon Plasma(QGP) medium in a heavy ion collision and look at an observable insensitive to jet selection bias: the simultaneous measurement of jet mass along with the transverse momentum imbalance between the jets that are groomed to remove soft radiation. Treating the jet as an open quantum system, I write down a factorization formula within the SCET(Soft Collinear Effective Theory) framework in the forward scattering regime. The physics of the medium is encoded in a universal soft field correlator while the jet-medium interaction is captured by a medium induced jet function. The factorization formula leads to a Lindblad type equation for the evolution of the reduced density matrix of the jet in the Markovian approximation. The solution for this equation allows a resummation of large logarithms that arise due to the final state measurements imposed while simultaneously summing over multiple incoherent interactions of the jet with the medium.

43 pages, Simplified EFT, qualitative results unchanged

References in corpus (14)

• Calculating the Jet Quenching Parameter from AdS/CFT
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• Power Counting to Better Jet Observables
• Jet physics in heavy-ion collisions
• Light quark energy loss in strongly-coupled N = 4 supersymmetric Yang-Mills plasma
• Heavy quark master equations in the Lindblad form at high temperatures
• Small Shear Viscosity of a Quark-Gluon Plasma Implies Strong Jet Quenching
• Finite-size effects on the radiative energy loss of a fast parton in hot and dense strongly interacting matter
• Precision Jet Substructure from Boosted Event Shapes
• Jet quenching phenomenology from soft-collinear effective theory with Glauber gluons
• Longitudinal Broadening of Quenched Jets in Turbulent Color Fields
• Sonic Mach Cones Induced by Fast Partons in a Perturbative Quark-Gluon Plasma
• The sound produced by a fast parton in the quark-gluon plasma is a "crescendo"
• Strange pentaquarks with a hidden heavy quark-antiquark pair

Cited by in corpus (6)

• 50 Years of Quantum Chromodynamics
• Resolving the Scales of the Quark-Gluon Plasma with Energy Correlators
• Quantum simulation of open quantum systems in heavy-ion collisions
• Non-Abelian Electric Field Correlator at NLO for Dark Matter Relic Abundance and Quarkonium Transport
• A unified picture of medium-induced radiation
• Pure Quark and Gluon Observables in Collinear Drop