Parity Violating Longitudinal Muon Polarization in $K^+\toπ^+μ^+μ^-$ Beyond Leading Logarithms

Details Parity Violating Longitudinal Muon Polarization in $K^+\toπ^+μ^+μ^-$ Beyond Leading Logarithms Parity Violating Longitudinal Muon Polarization in $K^+\toπ^+μ^+μ^-$ Beyond Leading Logarithms

1994-07-20

arxiv.org/abs/hep-ph/9407342v1

Phys.Lett.B336:263-268,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, MPI-PhT/94-43, TUM-T31-65/94

Scientific paper

10.1016/0370-2693(94)00997-X

We generalize the existing analyses of the parity violating muon polarization asymmetry $\Delta_{LR}$ in $K^+\to\pi^+\mu^+\mu^-$ beyond the leading logarithmic approximation. The inclusion of next--to--leading QCD corrections reduces the residual dependence on the renormalization scales, which is quite pronounced in the leading order. This leads to a considerably improved accuracy in the perturbative calculation of the short distance dominated quantity $\Delta_{LR}$. Accordingly this will also allow to obtain better constraints on the Wolfenstein parameter $\varrho$ from future measurements of $\Delta_{LR}$. For $-0.25\leq \varrho \leq 0.25$, $V_{cb}=0.040\pm 0.004$ and $m_t=(170\pm 20)GeV$ we find $3.0\cdot 10^{-3}\leq |\Delta_{LR}|\leq 9.6\cdot 10^{-3}$.

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