A quark-lepton unified Pati-Salam model with Z2 symmetry realizes a leptoquark gauge boson as light as 4.3 TeV, compatible with LHC and flavor constraints, and predicts testable lepton flavor violation plus new vector-like quarks.
Long-distance contributions to the K_L --> mu+ mu- decay width
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abstract
The dispersive two-photon contribution to the K_L --> mu+ mu- decay amplitude is analyzed, using chiral perturbation theory techniques and large-N_C considerations. A consistent description of the decays Pi^0 --> e+ e-, Eta --> mu+ mu- and K_L --> mu+ mu- is obtained. As a byproduct, one predicts Br(Eta --> e+ e-) = (5.8+-0.2) x 10^-9 and Br(K_L --> e+ e-) = (9.0+-0.4) x 10^-12.
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Updated SM predictions yield Br(η→e⁺e⁻)=5.37(4)(2)[4]×10⁻⁹, Br(η→μ⁺μ⁻)=4.54(4)(2)[4]×10⁻⁶, Br(η'→e⁺e⁻)=1.80(2)(3)[3]×10⁻¹⁰, and Br(η'→μ⁺μ⁻)=1.22(2)(2)[3]×10⁻⁷, with a mild 1.6σ tension in the η→μ⁺μ⁻ channel.
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TeV Scale Quark-Lepton Unification
A quark-lepton unified Pati-Salam model with Z2 symmetry realizes a leptoquark gauge boson as light as 4.3 TeV, compatible with LHC and flavor constraints, and predicts testable lepton flavor violation plus new vector-like quarks.
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Improved Standard-Model predictions for $\eta^{(\prime)}\to \ell^+ \ell^-$
Updated SM predictions yield Br(η→e⁺e⁻)=5.37(4)(2)[4]×10⁻⁹, Br(η→μ⁺μ⁻)=4.54(4)(2)[4]×10⁻⁶, Br(η'→e⁺e⁻)=1.80(2)(3)[3]×10⁻¹⁰, and Br(η'→μ⁺μ⁻)=1.22(2)(2)[3]×10⁻⁷, with a mild 1.6σ tension in the η→μ⁺μ⁻ channel.