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

Abstract

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.

Authors:
 [1]; ;  [2]
  1. Stanford Univ., CA (United States). Stanford Linear Accelerator Center
  2. NORDITA, Copenhagen (Denmark)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Energy Research, Washington, DC (United States)
OSTI Identifier:
486199
Report Number(s):
SLAC-PUB-7274; NORDITA-96/52-P; HEP-PH-9609266; CONF-9607157-4
ON: DE97007630; TRN: 97:011339
DOE Contract Number:  
AC03-76SF00515
Resource Type:
Conference
Resource Relation:
Conference: QCD `96: high energy physics international euroconference on quantum chromodynamics, Montpellier (France), 4-12 Jul 1996; Other Information: PBD: Sep 1996
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; ELECTRON-POSITRON INTERACTIONS; ANNIHILATION; PERTURBATION THEORY; CORRECTIONS; INFRARED DIVERGENCES; COUPLING CONSTANTS; LONGITUDINAL MOMENTUM; TOTAL CROSS SECTIONS

Citation Formats

Beneke, M, Braun, V M, and Magnea, L. On the infrared sensitivity of the longitudinal cross section in e{sup +}e{sup {minus}} annihilation. United States: N. p., 1996. Web.
Beneke, M, Braun, V M, & Magnea, L. On the infrared sensitivity of the longitudinal cross section in e{sup +}e{sup {minus}} annihilation. United States.
Beneke, M, Braun, V M, and Magnea, L. 1996. "On the infrared sensitivity of the longitudinal cross section in e{sup +}e{sup {minus}} annihilation". United States. https://www.osti.gov/servlets/purl/486199.
@article{osti_486199,
title = {On the infrared sensitivity of the longitudinal cross section in e{sup +}e{sup {minus}} annihilation},
author = {Beneke, M and Braun, V M and Magnea, L},
abstractNote = {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.},
doi = {},
url = {https://www.osti.gov/biblio/486199}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Sep 01 00:00:00 EDT 1996},
month = {Sun Sep 01 00:00:00 EDT 1996}
}

Conference:
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