By combining the first unquenched lattice computation of the B-meson binding energy and the two-loop contribution to the lattice HQET residual mass, we determine the (ar{{MS}}) (b)-quark mass, (ar{m}_{b}(ar{m}_{b})). The inclusion of the two-loop corrections is essential to extract (ar{m}_{b}(ar{m}_{b})) with a precision of ({cal O}(Lambda^{2}_{QCD}/m_{b})), which is the uncertainty due to the renormalon singularities in the perturbative series of the residual mass. Our best estimate is (ar{m}_{b}(ar{m}_{b}) = (4.26 pm 0.09) { m GeV}), where we have combined the different errors in quadrature. A detailed discussion of the systematic errors contributing to the final number is presented. Our results have been obtained on a sample of (60) lattices of size (24^{3} imes 40) at (eta =5.6), using the Wilson action for light quarks and the lattice HQET for the (b) quark, at two values of the sea quark masses. The quark propagators have been computed using the unquenched links generated by the T(chi)L Collaboration.

Gimenez, V., Giusti, L., Martinelli, G., Rapuano, F. (2000). NNLO unquenched calculation of the b quark mass. JOURNAL OF HIGH ENERGY PHYSICS, 4(3), 1-21 [10.1088/1126-6708/2000/03/018].

NNLO unquenched calculation of the b quark mass

GIUSTI, LEONARDO;RAPUANO, FEDERICO
2000

Abstract

By combining the first unquenched lattice computation of the B-meson binding energy and the two-loop contribution to the lattice HQET residual mass, we determine the (ar{{MS}}) (b)-quark mass, (ar{m}_{b}(ar{m}_{b})). The inclusion of the two-loop corrections is essential to extract (ar{m}_{b}(ar{m}_{b})) with a precision of ({cal O}(Lambda^{2}_{QCD}/m_{b})), which is the uncertainty due to the renormalon singularities in the perturbative series of the residual mass. Our best estimate is (ar{m}_{b}(ar{m}_{b}) = (4.26 pm 0.09) { m GeV}), where we have combined the different errors in quadrature. A detailed discussion of the systematic errors contributing to the final number is presented. Our results have been obtained on a sample of (60) lattices of size (24^{3} imes 40) at (eta =5.6), using the Wilson action for light quarks and the lattice HQET for the (b) quark, at two values of the sea quark masses. The quark propagators have been computed using the unquenched links generated by the T(chi)L Collaboration.
Articolo in rivista - Articolo scientifico
B physics, gauge theory, lattice
English
2000
4
3
1
21
none
Gimenez, V., Giusti, L., Martinelli, G., Rapuano, F. (2000). NNLO unquenched calculation of the b quark mass. JOURNAL OF HIGH ENERGY PHYSICS, 4(3), 1-21 [10.1088/1126-6708/2000/03/018].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/24741
Citazioni
  • Scopus 9
  • ???jsp.display-item.citation.isi??? ND
Social impact