|Title: ||On the quark distribution in an on-shell heavy quark and its all-order relations with the perturbative fragmentation function.|
|Authors: ||Gardi, Einan|
|Keywords: ||QCD, inclusive B decay, fragmentation, heavy quarks, renormalons, Sudakov resummation.|
|Issue Date: ||Jan-2005|
|Publisher: ||HEP, Cavendish Laboratory, University of Cambridge|
|Series/Report no.: ||Cavendish-HEP-05-03|
|Abstract: ||I 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.|
|Appears in Collections:||Scholarly works - High Energy Physics|
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