Jets from Massive Unstable Particles: Top-Mass Determination

dc.creatorFleming, Sean
dc.creatorHoang, Andre H.
dc.creatorMantry, Sonny
dc.creatorStewart, Iain W.
dc.date2007-03-20
dc.date2007-11-21
dc.date.accessioned2026-07-07T11:22:51Z
dc.date.available2026-07-07T11:22:51Z
dc.descriptionWe construct jet observables for energetic top quarks that can be used to determine a short distance top quark mass from reconstruction in e+ e- collisions with accuracy better than Lambda_{QCD}. Using a sequence of effective field theories we connect the production energy, mass, and top width scales, Q>> m>> Gamma, for the top jet cross section, and derive a QCD factorization theorem for the top invariant mass spectrum. Our analysis accounts for: alpha_s corrections from the production and mass scales, corrections due to constraints in defining invariant masses, non-perturbative corrections from the cross-talk between the jets, and alpha_s corrections to the Breit-Wigner line-shape. This paper mainly focuses on deriving the factorization theorem for hemisphere invariant mass distributions and other event shapes in e+e- collisions applicable at a future Linear Collider. We show that the invariant mass distribution is not a simple Breit-Wigner involving the top width. Even at leading order it is shifted and broadened by non-perturbative soft QCD effects. We predict that the invariant mass peak position increases linearly with Q/m due to these non-perturbative effects. They are encoded in terms of a universal soft function that also describes soft effects for massless dijet events. In a future paper we compute alpha_s corrections to the jet invariant mass spectrum, including a summation of large logarithms between the scales Q, m and Gamma.
dc.description54 pages, 10 figures, typos corrected, figures updated
dc.identifierhttps://arxiv.org/abs/hep-ph/0703207
dc.identifierhttp://arxiv.org/abs/hep-ph/0703207
dc.identifierPhys.Rev.D77:074010,2008
dc.identifierdoi:10.1103/PhysRevD.77.074010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194713
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.subjectNuclear Theory
dc.titleJets from Massive Unstable Particles: Top-Mass Determination
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