The $B_c$ mass up to order $α_s^4$

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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14 pages, revtex, 2 figures, minor changes, discussion on the non-perturbative corrections added, final version to appear in P

Scientific paper

10.1103/PhysRevD.62.094019

We evaluate in perturbative QCD, up to order $\alpha_s^4$, the mass of the $B_c$. We use the so-called 1S-mass in order to improve the convergence of the perturbative series. Our result is $E(B_c)_{pert} = 6326^{+29}_{-9}$ MeV. Non-perturbative effects are discussed. A comparison with potential models seems to be consistent with non-perturbative contributions of the order $ - (40\div 100)$ MeV.

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