Phys. Rev. D 65, 034005 (2002) [7 pages]Fragmentation functions for lepton pairsReceived 10 February 2001; published 9 January 2002 We calculate the fragmentation function for a light quark to decay into a lepton pair to leading order in the QCD coupling constant. In the formal definition of the fragmentation function, a QED phase must be included in the eikonal factor to guarantee QED gauge invariance. We find that the longitudinal polarization fraction is a decreasing function of the factorization scale, in accord with the intuitive expectation that the virtual photon should behave more and more like a real photon as the transverse momentum of the fragmenting quark increases. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.65.034005
DOI:
10.1103/PhysRevD.65.034005
PACS:
13.85.Qk, 12.38.Bx, 13.87.Fh, 13.88.+e
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