The Rare Decays $K^+\toπ^+ν\barν$\ and $K_L\toμ^+μ^-$\ Beyond Leading Logarithms

Details The Rare Decays $K^+\toπ^+ν\barν$\ and $K_L\toμ^+μ^-$\ Beyond Leading Logarithms The Rare Decays $K^+\toπ^+ν\barν$\ and $K_L\toμ^+μ^-$\ Beyond Leading Logarithms

1993-08-13

arxiv.org/abs/hep-ph/9308272v1

Nucl.Phys.B412:106-142,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

40, MPI-Ph/93-44

Scientific paper

10.1016/0550-3213(94)90496-0

We analyze the branching ratio for the FCNC mode $K^+\to\pi^+\nu\bar\nu$\ in the standard model with QCD effects taken into account consistently to next-to-leading order. This involves a two-loop renormalization group analysis for the charm contribution, presented in this paper, and the calculation of $O(\alpha_s)$ corrections to all orders in $m_t/M_W$ for the top-quark case that we have described elsewhere. The inclusion of next-to-leading corrections reduces considerably the theoretical uncertainty due to the choice of the renormalization scales, inherent in any calculation to finite order in perturbation theory. For $K^+\to\pi^+\nu\bar\nu$\ this point has not been discussed previously. In particular, the related uncertainty in the determination of $|V_{td}|$ from $B(K^+\to\pi^+\nu\bar\nu)$ is reduced from $\sim 30\%$ to $\sim 7\%$ for typical values of the parameters. Simultaneously also the dependence of $B(K^+\to\pi^+\nu\bar\nu)$ on the choice of $m_c$ is considerably reduced. We also give the next-to-leading order expression for the short-distance part of $K_L\to\mu^+\mu^-$. Impacts of our calculations on the determination of the unitarity triangle are presented.

Affiliated with

Also associated with

No associations

Rating

The Rare Decays $K^+\toπ^+ν\barν$\ and $K_L\toμ^+μ^-$\ Beyond Leading Logarithms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Rare Decays $K^+\toπ^+ν\barν$\ and $K_L\toμ^+μ^-$\ Beyond Leading Logarithms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Rare Decays $K^+\toπ^+ν\barν$\ and $K_L\toμ^+μ^-$\ Beyond Leading Logarithms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-298974