On the infrared sensitivity of the longitudinal cross section in e{sup +}e{sup {minus}} annihilation

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The authors have calculated the contributions proportional to {beta}{sub 0}{sup n}{alpha}{sub s}{sup n+1} to the longitudinal fragmentation function in e{sup +}e{sup {minus}} annihilation to all orders of perturbation theory. They use this result to estimate higher-order perturbative corrections and nonperturbative corrections to the longitudinal cross section {sigma}{sub L} and discuss the prospects of determining {alpha}{sub s} from {sigma}{sub L}. The structure of infrared renormalons in the perturbative expansion suggests that the longitudinal cross section for hadron production with fixed momentum fraction x receives nonperturbative contributions of order 1/(x{sup 2}Q{sup 2}), whereas the total cross section has a larger, 1/Q correction. ... continued below

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9 p.

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Beneke, M.; Braun, V.M. & Magnea, L. September 1, 1996.

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Description

The authors have calculated the contributions proportional to {beta}{sub 0}{sup n}{alpha}{sub s}{sup n+1} to the longitudinal fragmentation function in e{sup +}e{sup {minus}} annihilation to all orders of perturbation theory. They use this result to estimate higher-order perturbative corrections and nonperturbative corrections to the longitudinal cross section {sigma}{sub L} and discuss the prospects of determining {alpha}{sub s} from {sigma}{sub L}. The structure of infrared renormalons in the perturbative expansion suggests that the longitudinal cross section for hadron production with fixed momentum fraction x receives nonperturbative contributions of order 1/(x{sup 2}Q{sup 2}), whereas the total cross section has a larger, 1/Q correction. This correction arises from very large longitudinal distances and is related to the behavior of the Borel integral for the cross section with fixed x at large values of the Borel parameter.

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9 p.

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INIS; OSTI as DE97007630

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  • QCD `96: high energy physics international euroconference on quantum chromodynamics, Montpellier (France), 4-12 Jul 1996

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  • Other: DE97007630
  • Report No.: SLAC-PUB--7274
  • Report No.: NORDITA--96/52-P;HEP-PH--9609266;CONF-9607157--4
  • Grant Number: AC03-76SF00515
  • Office of Scientific & Technical Information Report Number: 486199
  • Archival Resource Key: ark:/67531/metadc675190

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  • September 1, 1996

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  • July 25, 2015, 2:21 a.m.

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  • Feb. 5, 2016, 7:36 p.m.

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Beneke, M.; Braun, V.M. & Magnea, L. On the infrared sensitivity of the longitudinal cross section in e{sup +}e{sup {minus}} annihilation, article, September 1, 1996; Menlo Park, California. (digital.library.unt.edu/ark:/67531/metadc675190/: accessed May 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.