A Mixed Tau-Electroproduction Sum Rule for V_us

Abstract

The interpretation of results of recent tau decay determinations of |V_us|, which yield values ~3 sigma low compared to 3-family unitarity expectations, is complicated by the slow convergence of the relevant integrated D=2 OPE series. We introduce a class of sum rules involving both electroproduction and tau decay data designed to deal with this problem by strongly suppressing D=2 OPE contributions at the correlator level. Experimental complications are briefly discussed and an example of the improved control over theoretical errors presented. The uncertainty on the resulting determination, |V_{us}| =0.2202(39), is entirely dominated by experimental errors, and should be subject to significant near-term improvement.

12 pages, 2 figures; minor changes to reflect published version, in particular, details on theoretical uncertainties in conventional, purely tau-decay sum rule for V_us being larger than quoted previously in the literature