TY  - JOUR
AU  - Bodenstein, S.
AU  - Bordes, J.
AU  - Dominguez, C. A.
AU  - Peñarrocha, J.
AU  - Schilcher, K.
PY  - 2010
DA  - 2010//
TI  - Charm-quark mass from weighted finite energy QCD sum rules
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 114013
EP  - 5pp
VL  - 82
IS  - 11
PB  - Amer Physical Soc
AB  - The running charm-quark mass in the scheme is determined from weighted finite energy QCD sum rules involving the vector current correlator. Only the short distance expansion of this correlator is used, together with integration kernels (weights) involving positive powers of s, the squared energy. The optimal kernels are found to be a simple pinched kernel and polynomials of the Legendre type. The former kernel reduces potential duality violations near the real axis in the complex s plane, and the latter allows us to extend the analysis to energy regions beyond the end point of the data. These kernels, together with the high energy expansion of the correlator, weigh the experimental and theoretical information differently from e. g. inverse moments finite energy sum rules. Current, state of the art results for the vector correlator up to four-loop order in perturbative QCD are used in the finite energy sum rules, together with the latest experimental data. The integration in the complex s plane is performed using three different methods: fixed order perturbation theory, contour improved perturbation theory, and a fixed renormalization scale mu. The final result is (m) over bar (c)(3 GeV) = 1008 +/- 26 MeV, in a wide region of stability against changes in the integration radius s(0) in the complex s plane.
SN  - 1550-7998
UR  - http://arxiv.org/abs/1009.4325
UR  - https://doi.org/10.1103/PhysRevD.82.114013
DO  - 10.1103/PhysRevD.82.114013
LA  - English
N1  - ISI:000286567000004
ID  - Bodenstein_etal2010
ER  -