Remark on the Theoretical Uncertainty in B^0-\bar{B}^0 Mixing

Details Remark on the Theoretical Uncertainty in B^0-\bar{B}^0 Mixing Remark on the Theoretical Uncertainty in B^0-\bar{B}^0 Mixing

2002-06-05

arxiv.org/abs/hep-ph/0206058v2

Phys.Lett.B543:59-65,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pp., 4 figs; text on some other papers clarified, reference added

Scientific paper

10.1016/S0370-2693(02)02407-3

We re-examine the theoretical uncertainty in the Standard Model expression for $B^0$-$\bar{B}^0$ mixing. We focus on lattice calculations of the ratio $\xi$, needed to relate the oscillation frequency of $B^0_s$-$\bar{B}^0_s$ mixing to the poorly known CKM element $V_{td}$. We replace the usual linear chiral extrapolation with one that includes the logarithm that appears in chiral perturbation theory. We find a significant shift in the ratio $\xi$, from the conventional $1.15\pm0.05$ to $\xi=1.32\pm0.10$.

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