TY - JOUR
T1 - On the infrared sensitivity of the longitudinal cross section in e+e- annihilation
AU - Beneke, M.
AU - Braun, V. M.
AU - Magnea, L.
N1 - Funding Information:
We are grateful to B. Webber for informing us about his related work \[8\] prior to publication. M. B. and V. B. thank the Institute for Nuclear Theory in Seattle for hospitality during the course of this work. This research is supported in part by the Department of Energy under contract DE-AC03-76SF-00515.
PY - 1997/3
Y1 - 1997/3
N2 - We have calculated the contributions proportional to βn0αn+1s to the longitudinal fragmentation function in e+e- annihilation to all orders of perturbation theory. We use this result to estimate higher-order perturbative corrections and nonperturbative corrections to the longitudinal cross section σL and discuss the prospects of determining αs from σL. The structure of infrared renormalons in the perturbative expansion suggests that the longitudinal cross section for hadron production with fixed momentum fraction χ receives nonperturbative contributions of order 1/(χ2Q2), whereas the total cross section has a larger, 1/Q correction. This correction arises from very large longitudinal distances and is related to the behaviour of the Borel integral for the cross section with fixed χ at large values of the Borel parameter.
AB - We have calculated the contributions proportional to βn0αn+1s to the longitudinal fragmentation function in e+e- annihilation to all orders of perturbation theory. We use this result to estimate higher-order perturbative corrections and nonperturbative corrections to the longitudinal cross section σL and discuss the prospects of determining αs from σL. The structure of infrared renormalons in the perturbative expansion suggests that the longitudinal cross section for hadron production with fixed momentum fraction χ receives nonperturbative contributions of order 1/(χ2Q2), whereas the total cross section has a larger, 1/Q correction. This correction arises from very large longitudinal distances and is related to the behaviour of the Borel integral for the cross section with fixed χ at large values of the Borel parameter.
UR - http://www.scopus.com/inward/record.url?scp=0031100238&partnerID=8YFLogxK
U2 - 10.1016/S0920-5632(97)00037-6
DO - 10.1016/S0920-5632(97)00037-6
M3 - Article
AN - SCOPUS:0031100238
SN - 0920-5632
VL - 54
SP - 183
EP - 188
JO - Nuclear Physics B (Proceedings Supplements)
JF - Nuclear Physics B (Proceedings Supplements)
IS - 1-2
ER -