Orateur
Nicolas Houdeau
(LPTHE (CNRS - UPMC))
Description
We consider the problem of assigning a meaningful confidence
to uncertainty estimates of perturbative series. We analyse the assumptions
which are implicit in the conventional estimates made using renormalisation
scale variations. We then formulate a Bayesian model that, given equivalent
initial hypotheses, allows one to characterise a perturbative theoretical
uncertainty in a rigorous way in terms of the confidence of an interval for
the remainder of the series. We compare its outcome to the conventional
uncertainty estimates in the simple case of the calculation of QCD
corrections to the e+e- -> hadrons process. We find comparable results, but
with important conceptual differences. This work represents a first step in
the direction of a more comprehensive and rigorous handling of theoretical
uncertainties in perturbative calculations used in high energy phenomenology.
Auteurs principaux
Dr
Matteo Cacciari
(LPTHE Paris)
Nicolas Houdeau
(LPTHE (CNRS - UPMC))
