By combining the first unquenched lattice computation of the B-meson binding energy with the recently calculated two-loop contribution to the lattice HQET mass, we determine the $\bar{MS}$ b-quark mass, $\bar{m}_{b}(\bar{m}_{b})$ at the NNLO. We find $\bar{m}_{b}(\bar{m}_{b}) = (4.26\pm 0.03 \pm 0.04 \pm 0.05) {\rm GeV}$. The inclusion of the two-loop effects is one of the steps necessary to extract $\bar{m}_{b}(\bar{m}_{b})$ with a precision better than ${\cal O}(\Lambda_{QCD})$, which is the uncertainty due to the presence of an IR renormalon singularity in the perturbative series of the residual mass. Our results have been obtained on a sample of 60 lattices of size $24^{3}\times 40$ at $\beta=5.6$, using the unquenched Wilson action with two degenerate sea quarks. The quark propagators have been computed using the unquenched links generated by the T$\chi$L Collaboration

Gimenez, V., Giusti, L., Rapuano, F., Martinelli, G. (2000). NNLO unquenched calculation of the b quark mass. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 83-84(1-3), 286-288 [10.1016/S0920-5632(00)91649-9].

### NNLO unquenched calculation of the b quark mass

#### Abstract

By combining the first unquenched lattice computation of the B-meson binding energy with the recently calculated two-loop contribution to the lattice HQET mass, we determine the $\bar{MS}$ b-quark mass, $\bar{m}_{b}(\bar{m}_{b})$ at the NNLO. We find $\bar{m}_{b}(\bar{m}_{b}) = (4.26\pm 0.03 \pm 0.04 \pm 0.05) {\rm GeV}$. The inclusion of the two-loop effects is one of the steps necessary to extract $\bar{m}_{b}(\bar{m}_{b})$ with a precision better than ${\cal O}(\Lambda_{QCD})$, which is the uncertainty due to the presence of an IR renormalon singularity in the perturbative series of the residual mass. Our results have been obtained on a sample of 60 lattices of size $24^{3}\times 40$ at $\beta=5.6$, using the unquenched Wilson action with two degenerate sea quarks. The quark propagators have been computed using the unquenched links generated by the T$\chi$L Collaboration
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Articolo in rivista - Articolo scientifico
B physics, QCD, lattice
English
2000
286
288
3
Gimenez, V., Giusti, L., Rapuano, F., Martinelli, G. (2000). NNLO unquenched calculation of the b quark mass. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 83-84(1-3), 286-288 [10.1016/S0920-5632(00)91649-9].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/24749
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