$K^+\toπ^+ν\barν$ Beyond Leading Logs and $V_{td}$

Details $K^+\toπ^+ν\barν$ Beyond Leading Logs and $V_{td}$ $K^+\toπ^+ν\barν$ Beyond Leading Logs and $V_{td}$

1994-01-28

arxiv.org/abs/hep-ph/9401350v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, MPI-PhT/94-3

Scientific paper

The calculation of QCD corrections beyond the leading logarithmic approximation for the short-distance dominated rare decay $K^+\to\pi^+\nu\bar\nu$ is summarized. This analysis requires the complete ${\cal O}(\alpha_s)$ corrections to the top contribution to all orders in the top-quark mass and a two-loop renormalization group (RG) calculation for the charm contribution. The inclusion of these QCD corrections reduces considerably the theoretical uncertainty in calculating $B(K^+\to\pi^+\nu\bar\nu)$. Implications for the determination of $V_{td}$ from this decay are discussed.

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