Analytic Reconstruction of heavy-quark two-point functions at O(αs3)\mathcal{O}(\alpha^3_s)

Apr, 2011
19 pages
Published in:
  • Phys.Rev.D 85 (2012) 054008
e-Print:
Report number:
  • UGFT-281-11,
  • CAFPE-151-11

Citations per year

201120142017202020230123456
Abstract: (arXiv)
Using a method previously developed, based on the Mellin-Barnes transform, we reconstruct the two-point correlators in the vector, axial, scalar and pseudoscalar channels from the Taylor expansion at q^2=0, the threshold expansion at q^2=4m^2 and the OPE at q^2\rightarrow -\infty, where m is the heavy quark mass. The reconstruction is analytic and systematic and is controlled by an error function which becomes smaller as more terms in those expansions are known.
Note:
  • 19 pages, 11 figures
  • 12.38.Bx
  • threshold: expansion
  • heavy quark: mass
  • correlation function
  • two-point function
  • Taylor expansion
  • operator product expansion
  • Mellin transformation
  • asymptotic expansion
  • spectral representation