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SUMMARY:Resummation of threshold\, low- and high-energy expansions for hea
 vy-quark correlators
DTSTART;VALUE=DATE-TIME:20110512T100000Z
DTEND;VALUE=DATE-TIME:20110512T110000Z
DTSTAMP;VALUE=DATE-TIME:20260627T221704Z
UID:indico-event-1793@indico.ific.uv.es
DESCRIPTION:With the help of the Mellin-Barnes transform\, we show how to 
 simultaneously resum the expansion of a heavy-quark correlator around $q^2
 =0$ (low-energy)\, $q^2 = 4 m^2$ (threshold\, where $m$ is the quark mass)
  and $q^2\\rightarrow-\\infty$ (high-energy) in a systematic way. We exemp
 lify the method for the perturbative vector\, axial scalar and pseudo-scal
 ar correlator at $\\mathcal{O}(\\alpha_s^{3})$. We show that the coefficie
 nts\, $\\Omega(n)$\, of the Taylor expansion of the vacuum polarization fu
 nction in terms of the conformal variable $\\omega$ admit\, for large $n$\
 , an expansion in powers of $1/n$ (up to logarithms of $n$) that we can ca
 lculate exactly. This large-$n$ expansion has a sign-alternating component
  given by the logarithms of the OPE\, and a fixed-sign component given by 
 the logarithms of the threshold expansion in the external momentum $q^2$.\
 n\nhttps://indico.ific.uv.es/event/1793/
LOCATION:Edf. Institutos de Investigación Sala Seminarios IFIC
URL:https://indico.ific.uv.es/event/1793/
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