On the infrared sensitivity of the longitudinal cross section in e{sup +}e{sup {minus}} annihilation
- Stanford Univ., CA (United States). Stanford Linear Accelerator Center
- NORDITA, Copenhagen (Denmark)
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.
- Research Organization:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Organization:
- USDOE Office of Energy Research, Washington, DC (United States)
- DOE Contract Number:
- AC03-76SF00515
- OSTI ID:
- 486199
- Report Number(s):
- SLAC-PUB-7274; NORDITA-96/52-P; HEP-PH-9609266; CONF-9607157-4; ON: DE97007630; TRN: 97:011339
- 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
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