Eur. Phys. J. C 24, 237-243 (2002)
DOI: 10.1007/s100520200930
Light quark masses from scalar sum rules
M. Jamin1, J.A. Oller2 and A. Pich31 Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany
2 Departamento de Física, Universidad de Murcia, 30071 Murcia, Spain
3 Departament de Física Teòrica, IFIC, Universitat de València - CSIC, Apt. Correus 22085, 46071 València, Spain
(Received: 18 October 2001 / Revised version: 22 January 2002 / Published online: 12 April 2002 - © Springer-Verlag / Società Italiana di Fisica 2002 )
Abstract
In this work, the mass of the strange quark is calculated from
QCD sum
rules for the divergence of the strangeness-changing vector current.
The
phenomenological scalar spectral function which enters the sum
rule is
determined from our previous work on strangeness-changing scalar
form factors [1].
For the running strange mass in the
scheme,
we find
. Making
use of this result and
the light quark
mass ratios obtained from chiral perturbation theory, we are
also able to
extract the masses of the lighter quarks
mu and
md. We
then obtain
and
.
In
addition, we present an updated value for the light quark condensate.
© Società Italiana di Fisica, Springer-Verlag 2002