2008/01/31 by Ambar Jain, Ignazio Scimemi, Iain W. Stewart · 2 citations
Mathematics · Physics and Astronomy · #Cusp (singularity) #Distribution function #Exponentiation #Geometry #High-Energy Particle Collisions Research #Invariant mass #Jet (fluid) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Renormalization #Top quark #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.77.094008
published as Phys.Rev.D77:094008,2008 · 25 pages, some typos corrected in text and references; 1 figure replaced
openalex publication_date 2008/05/13 · arxiv created 2008/06/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We compute the two-loop heavy-quark jet function in the heavy-quark limit. This is one of the key ingredients in next-to-next-to-leading order and next-to-next-to-leading-log order computations of the invariant mass distribution of top-jets at a future e+e^\ensuremath- collider. The shape of the top-invariant mass distribution is affected by large logs which we compute at next-to-next-to-leading-log order. Exploiting the non-Abelian exponentiation theorem, a definition of the top jet mass is given which is transitive and whose renormalization group evolution is determined by the cusp-anomalous dimension to all orders in perturbation theory. Relations of the jet mass to the pole, MS, and 1S masses are presented at two-loop order.