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dc.contributor.authorGardi, Einan
dc.date.accessioned2010-02-03T15:27:42Z
dc.date.available2010-02-03T15:27:42Z
dc.date.issued2005-01
dc.identifier.urihttp://www.dspace.cam.ac.uk/handle/1810/224271
dc.description.abstractI present new results on the quark distribution in an on-shell heavy quark in perturbative QCD and explore its all–order relations with heavy–quark fragmentation. I first compute the momentum distribution function to all orders in the large–β0 limit and show that it is identical to the perturbative heavy–quark fragmentation function in the same approximation. I then analyze the Sudakov limit of the distribution and the fragmentation functions using Wilson lines and prove that the corresponding Sudakov exponents in the non-Abelian theory are the same to any logarithmic accuracy. The anomalous dimension is then determined to two–loop order, corresponding to next–to–next–to–leading logarithmic accuracy in the exponent, in two ways: the first by extracting the singular terms from a recent calculation of the fragmentation function and the second by performing the two–loop Wilson–line calculation in configuration space. I find perfect agreement between the two.en
dc.language.isoenen
dc.publisherHEP, Cavendish Laboratory, University of Cambridgeen
dc.relation.ispartofseriesCavendish-HEP-05-03en
dc.rightsAll Rights Reserveden
dc.rights.urihttps://www.rioxx.net/licenses/all-rights-reserved/en
dc.subjectQCD, inclusive B decay, fragmentation, heavy quarks, renormalons, Sudakov resummation.en
dc.titleOn the quark distribution in an on-shell heavy quark and its all-order relations with the perturbative fragmentation function.en
dc.typeArticleen
dc.type.versionnot applicableen
pubs.declined2017-10-11T13:54:28.426+0100


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