Quark fragmentation within an identified jet
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Procura-2010-Quark fragmentation.pdf
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288.04 KB
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Author(s)
Procura, Massimiliano
Stewart, Iain W
Date Issued
April 2010
Journal
Physical Review D
Publisher
American Physical Society
Citation
Procura, Massimiliano, and Iain W. Stewart. “Quark fragmentation within an identified jet.” Physical Review D 81.7 (2010): 074009. © 2010 The American Physical Society.
Version
Final published version
Abstract
We derive a factorization theorem that describes an energetic hadron h fragmenting from a jet produced by a parton i, where the jet invariant mass is measured. The analysis yields a “fragmenting jet function” Gih(s,z) that depends on the jet invariant mass s, and on the energy fraction z of the fragmentation hadron. We show that Gih can be computed in terms of perturbatively calculable coefficients, Jij(s,z/x), integrated against standard nonperturbative fragmentation functions, Djh(x). We also show that Sigmah∫dzGih(s,z) is given by the standard inclusive jet function Ji(s) which is perturbatively calculable in QCD. We use soft collinear effective theory and for simplicity carry out our derivation for a process with a single jet, B̅ -->Xhℓν̅ , with invariant mass mXh2≫ΛQCD2. Our analysis yields a simple replacement rule that allows any factorization theorem depending on an inclusive jet function Ji to be converted to a semi-inclusive process with a fragmenting hadron h. We apply this rule to derive factorization theorems for B̅ -->XKγ which is the fragmentation to a Kaon in b→sγ, and for e+e- -->(dijets)+h with measured hemisphere dijet invariant masses.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.81.074009
