Analytic Reconstruction of heavy-quark two-point functions at
Apr, 2011
19 pages
Published in:
- Phys.Rev.D 85 (2012) 054008
e-Print:
- 1104.3425 [hep-ph]
Report number:
- UGFT-281-11,
- CAFPE-151-11
View in:
Citations per year
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
References(31)
Figures(10)