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SUMMARY:QFT applications of (multi-dimensional) Mellin-Barnes representati
 on: asymptotic
DTSTART;VALUE=DATE-TIME:20111124T100000Z
DTEND;VALUE=DATE-TIME:20111124T110000Z
DTSTAMP;VALUE=DATE-TIME:20130522T060033Z
UID:indico-event-163411@cern.ch
DESCRIPTION:The Mellin-Barnes (MB) integral representation is a very power
 ful tool of asymptotic analysis. In the one-dimensional case (where one de
 als with a single MB integral depending on one parameter)\, it allows for 
 an easy analytic evaluation\, to an arbitrary order\, of the asymptotic ex
 pansions in powers and logs of the parameter of the quantity expressed ini
 tially as a MB integral. Applications of this formalism in QFT are varied:
  evaluation of Feynman diagrams and related quantities\, calculations of n
 on-perturbative contributions\, reconstructions of non-analytic functions\
 , etc. After a short panorama of  the possibilities offered by the MB rep
 resentation\, illustrated with some examples taken in perturbative QFT\, h
 eavy quark physics and simple models\, we will concentrate on the presenta
 tion of some recent results obtained in the case of multi-dimensional MB i
 ntegrals depending on several parameters. In this interesting generalizati
 on\, one may usually obtain several multiple series representations of a g
 iven multiple MB integral.\nBasing our presentation on simple QFT integral
 s we will address the question concerning the convergence of such series a
 s well as their analytic continuation.\n\nhttp://indico.cern.ch/conference
 Display.py?confId=163411
LOCATION:LAPTH\, Annecy Auditorium
URL:http://indico.cern.ch/conferenceDisplay.py?confId=163411
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