We compute charm and bottom quark masses in the quenched approximation and in the continuum limit of lattice QCD. We make use of a step scaling method, previously introduced to deal with two scale problems, that allows to take the continuum limit of the lattice data. We determine the RGI quark masses and make the connection to the (MS) over bar scheme. The continuum extrapolation gives us a value m(b)(RGI) = 6.73(16) GeV for the b-quark and m(c)(RGI) = 1.681(36) GeV for the c-quark, corresponding, respectively, to m(b)((MS) over bar)(m(b)((MS) over bar))= 4.33(10) GeV and m(c)((MS) over bar) (m(c)((MS) over bar)) = 1.319(28) GeV. The latter result, in agreement with current estimates, is for us a check of the method. Using our results on the heavy quark masses we compute the mass of the B-C meson, M-Bc = 6.46(15) GeV. (C) 2003 Elsevier B.V. All rights reserved.
DE DIVITIIS, G.m., Guagnelli, M., Palombi, F., Petronzio, R., Tantalo, N. (2003). Heavy quark masses in the continuum limit of quenched lattice QCD. NUCLEAR PHYSICS. B, 675(1-2), 309-332 [10.1016/j.nuclphysb.2003.10.001].
Heavy quark masses in the continuum limit of quenched lattice QCD
DE DIVITIIS, GIULIA MARIA;PETRONZIO, ROBERTO;TANTALO, NAZZARIO
2003-01-01
Abstract
We compute charm and bottom quark masses in the quenched approximation and in the continuum limit of lattice QCD. We make use of a step scaling method, previously introduced to deal with two scale problems, that allows to take the continuum limit of the lattice data. We determine the RGI quark masses and make the connection to the (MS) over bar scheme. The continuum extrapolation gives us a value m(b)(RGI) = 6.73(16) GeV for the b-quark and m(c)(RGI) = 1.681(36) GeV for the c-quark, corresponding, respectively, to m(b)((MS) over bar)(m(b)((MS) over bar))= 4.33(10) GeV and m(c)((MS) over bar) (m(c)((MS) over bar)) = 1.319(28) GeV. The latter result, in agreement with current estimates, is for us a check of the method. Using our results on the heavy quark masses we compute the mass of the B-C meson, M-Bc = 6.46(15) GeV. (C) 2003 Elsevier B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
