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SUMMARY:Mathematical aspects of the asymptotic expansion in Contour Improv
 ed Perturbation Theory for Hadronic Tau Decays
DTSTART;VALUE=DATE-TIME:20241119T160000Z
DTEND;VALUE=DATE-TIME:20241119T161500Z
DTSTAMP;VALUE=DATE-TIME:20260422T060013Z
UID:indico-contribution-25280@indico.ific.uv.es
DESCRIPTION:Speakers: Néstor González Gracia (IFIC\, Universitat de Val
 ència)\nThe discrepancy between the fixed-order (FOPT) and contour-improv
 ed (CIPT) perturbative expansions for $\\tau$-lepton decay hadronic spectr
 al function moments have been affecting the precision of $α_s$ determinat
 ions for many years. The CIPT expansion is special because it is not a pow
 er expansion\, but represents an asymptotic expansion in a sequence of fun
 ctions of the strong coupling. In this article we provide a closer look at
  the mathematical aspects of the asymptotic sequence of the functions the 
 CIPT method is based on\, and we expose the origin of the CIPT inconsisten
 cy as well as the reasons for its apparent good convergence at low orders.
  Our results are of general interest\, and may in particular provide a use
 ful tool to check for the consistency of expansion methods that are simila
 r to CIPT.\n\nhttps://indico.ific.uv.es/event/7664/contributions/25280/
LOCATION:
URL:https://indico.ific.uv.es/event/7664/contributions/25280/
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