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Dark photon effect on the rare kaon decay K_L rightarrow π⁰ ν {bar ν}

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arxiv 2301.08367 v2 pith:PI3MCQET submitted 2023-01-20 hep-ph hep-ex

Dark photon effect on the rare kaon decay $K_L \rightarrow \pi^0 \nu {\bar \nu}$

classification hep-ph hep-ex
keywords darkphotonrightarrowdecayeffectkaonmodelrare
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

We present an analysis of the effect of a dark photon on the rare kaon decay $K_L \rightarrow \pi^0 \nu {\bar \nu}$. All relevant couplings of the dark photon to the Standard Model particles are derived explicitly in terms of the dark photon mass and the mixing parameter. We find that the dark photon yields no more than a few percent correction to the Standard Model branching ratio ${\rm Br}(K_L \rightarrow \pi^0 \nu {\bar \nu})$ in the region of interest.

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    Derives lower limits on dark photon parameters from thermal relic density for Dirac fermion and complex scalar WIMPs and compares resulting spin-independent cross sections to direct detection upper bounds.