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:
-
- Stanford Univ., CA (United States). Stanford Linear Accelerator Center
- 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}
}