Electroweak Effects in the Double Dalitz Decay $B_s \to l^+ l^- l'^+ l'^-$

Details Electroweak Effects in the Double Dalitz Decay $B_s \to l^+ l^- l'^+ l'^-$ Electroweak Effects in the Double Dalitz Decay $B_s \to l^+ l^- l'^+ l'^-$

2003-01-09

arxiv.org/abs/hep-ph/0301056v2

Phys.Lett. B556 (2003) 169-176

Physics

High Energy Physics

High Energy Physics - Phenomenology

Two typos corrected: (i) factor $1/\Gamma_{\gamma\gamma}$ inserted in Eq. (14), (ii) co-ordinate labels $x_{12},x_{34}$ insert

Scientific paper

10.1016/S0370-2693(03)00131-X

We investigate the double Dalitz decays $B_s \to l^+ l^- l'^+ l'^-$ on the basis of the effective Hamiltonian for the transition $b \bar{s} \to l^+ l^-$, and universal form factors suggested by QCD. The correlated mass spectrum of the two lepton pairs in the decay $B_s \to e^+ e^- \mu^+ \mu^-$ is derived in an efficient way, using a QED result for meson decays mediated by two virtual photons: $B_s \to \gamma^* \gamma^* \to e^+ e^- \mu^+ \mu^-$. A comment is made on the correlation between the planes of the two lepton pairs. The conversion ratios $\rho_{lll'l'}= \frac{\Gamma(B_s \to l^+ l^- l'^+ l'^-)}{\Gamma(B_s \to \gamma \gamma)}$ are estimated to be $\rho_{eeee}=3 \times 10^{-4}, \rho_{ee\mu\mu}=9 \times 10^{-5} \text{and} \rho_{\mu\mu\mu\mu}=3 \times 10^{-5}$, and are enhanced relative to pure QED by $10-30 %$.

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