Long Distance Contribution to $K^+ \rightarrow \pi^+ \nu \bar\nu$

Abstract

We estimate the long distance contribution to the $K^+ \rightarrow \pi^+ \nu \bar\nu$ decay amplitude using chiral perturbation theory. We find that it is likely to be less than a few percent of the part of the short distance contribution proportional to the square of the charm quark mass. In the large $N_c$ limit the leading (in chiral perturbation theory) long distance contribution to $K^+ \rightarrow \pi^+ \nu \bar\nu$ from Feynman diagrams with a $W$ and $Z^0$ vanishes.

Keywords

PhysicsFeynman diagramParticle physicsChiral perturbation theoryAmplitudeBar (unit)PiCharm (quantum number)Perturbation theory (quantum mechanics)Feynman graphQuarkMathematical physicsQuantum mechanicsMathematicsGeometry

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Publication Info

Year: 1994
Type: preprint
Citations: 24
Access: Closed

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APA Style

                            
                                    Ming Lü, 
                                
                                    Mark B. Wise
                                
                            (1994). 
                            Long Distance Contribution to $K^+ \rightarrow \pi^+ \nu \bar\nu$. 
                            arXiv (Cornell University)
                            
                            .