Reduction of Charm Quark Mass Scheme Dependence in $\bar B \to X_s γ$ at the NNLL Level

Details Reduction of Charm Quark Mass Scheme Dependence in $\bar B \to X_s γ$ at the NNLL Level Reduction of Charm Quark Mass Scheme Dependence in $\bar B \to X_s γ$ at the NNLL Level

2005-05-10

arxiv.org/abs/hep-ph/0505068v2

Phys.Lett.B619:322-332,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages including 3 figures

Scientific paper

10.1016/j.physletb.2005.05.080

The uncertainty of the theoretical prediction of the $\bar B \to X_s \gamma$ branching ratio at NLL level is dominated by the charm mass renormalization scheme ambiguity. In this paper we calculate those NNLL terms which are related to the renormalization of $m_c$, in order to get an estimate of the corresponding uncertainty at the NNLL level. We find that these terms significantly reduce (by typically a factor of two) the error on ${BR}(\bar B \to X_s \gamma)$ induced by the definition of $m_c$. Taking into account the experimental accuracy of around 10% and the future prospects of the $B$ factories, we conclude that a NNLL calculation would increase the sensitivity of the observable $\bar B \to X_s \gamma$ to possible new degrees of freedom beyond the SM significantly.

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