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Light quark masses from scalar sum rules
Authors:M. Jamin  J.A. Oller  A. Pich
Affiliation:Institut für Theoretische Physik, Universit?t Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany, DE
Departamento de Física, Universidad de Murcia, 30071 Murcia, Spain, ES
Departament de Física Teòrica, IFIC, Universitat de València – CSIC, Apt. Correus 22085, 46071 València, Spain, ES
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 and . We then obtain and . In addition, we present an updated value for the light quark condensate. Received: 18 October 2001 / Revised version: 22 January 2002 / Published online: 12 April 2002
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