We estimate the non-perturbative power-suppressed corrections to heavy flavour fragmentation and correlation functions in e(+)e(-) annihilation, using a model based on the analysis of one-loop Feynman graphs containing a massive, gluon. This approach corresponds to the study of infrared renormalons in the large-n(f) limit of QCD, or to the assumption of an infrared-finite effective coupling at low scales, We find that the leading corrections to the heavy quark fragmentation function are of order lambda/M, where lambda is a typical hadronic scale (lambda similar to 0.4 GeV) and M is the heavy quark mass. The inclusion of higher corrections corresponds to convolution with a universal function of M(1 - x) concentrated at values of its argument of order lambda, in agreement with intuitive expectations. On the other hand, corrections to heavy quark correlations are very small,of the order of (lambda/Q)(p), where Q is the centre-of-mass energy and p greater than or equal to 2. (C) 1997 Elsevier Science B.V.
Nason, P., Webber, B. (1997). Non-perturbative corrections to heavy quark fragmentation in e(+)e(-) annihilation. PHYSICS LETTERS. SECTION B, 395(3-4), 355-363 [10.1016/S0370-2693(97)00129-9].
Non-perturbative corrections to heavy quark fragmentation in e(+)e(-) annihilation
Nason, P;
1997
Abstract
We estimate the non-perturbative power-suppressed corrections to heavy flavour fragmentation and correlation functions in e(+)e(-) annihilation, using a model based on the analysis of one-loop Feynman graphs containing a massive, gluon. This approach corresponds to the study of infrared renormalons in the large-n(f) limit of QCD, or to the assumption of an infrared-finite effective coupling at low scales, We find that the leading corrections to the heavy quark fragmentation function are of order lambda/M, where lambda is a typical hadronic scale (lambda similar to 0.4 GeV) and M is the heavy quark mass. The inclusion of higher corrections corresponds to convolution with a universal function of M(1 - x) concentrated at values of its argument of order lambda, in agreement with intuitive expectations. On the other hand, corrections to heavy quark correlations are very small,of the order of (lambda/Q)(p), where Q is the centre-of-mass energy and p greater than or equal to 2. (C) 1997 Elsevier Science B.V.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.