Remark on the theoretical uncertainty in B0–B0 mixing

AS Kronfeld, SM Ryan - Physics Letters B, 2002 - Elsevier
We re-examine the theoretical uncertainty in the Standard Model expression for B0–B 0
mixing. We focus on lattice calculations of the ratio ξ, needed to relate the oscillation
frequency of B0s–B 0s mixing to the poorly known CKM element Vtd. 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 ξ, from the conventional 1.15±0.05
to ξ= 1.32±0.10.

Remark on the theoretical uncertainty inB0− B¯ 0 mixing

AS Kronfeld - Nuclear Physics B-Proceedings Supplements, 2003 - Elsevier
We re-examine the theoretical uncertainty in the Standard Model expression forB0− B¯ 0
mixing. We focus on lattice calculations of the ratio χ, needed to relate the oscillation
frequency ofB0− B¯ 0 mixing toVtd. 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 χ, from the conventional 1.15±0.05 to χ= 1.32±0.10.
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