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

2002-09-06

arxiv.org/abs/hep-lat/0209083v1

Nucl.Phys.Proc.Suppl.119:622-624,2003

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2002(heavyquark), 3 pages, 3 figures

Scientific paper

10.1016/S0920-5632(03)01642-6

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 $V_{td}$. 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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