Abstract
We propose a variant of the Pati-Salam model, with gauge group $SU(4)_C\times SU(2)_L\times U(1)_{Y'}$, in which the chiral left-handed quarks and leptons are unified into a $\underline{4}$ of $SU(4)_C$, while the right-handed quarks and leptons have quite a distinct treatment. The $SU(4)_C$ leptoquark gauge bosons can explain the measured deviation of lepton flavour universality in the rare decays: $\bar B \to \bar K^{(*)}\bar\ell\ell, \ell=\mu,e$ (taken as a hint of new physics). The model satisfies the relevant experimental constraints and makes predictions for the important $B$ and $\tau$ decays. These predictions will be tested at the LHCb and Belle II experiments when increased statistics become available.
Highlights
There is mounting evidence for a violation of lepton flavor universality (LFU) in flavor-changing neutral current processes b → sμμ in recent measurements of B decays [1,2,3,4,5,6,7]
We propose a variant of the Pati-Salam model, with gauge group SUð4ÞC × SUð2ÞL × Uð1ÞY0, in which the chiral left-handed quarks and leptons are unified into a 4 of SUð4ÞC, while the right-handed quarks and leptons have quite a distinct treatment
In the remainder of this paper, we focus on making predictions for various rare decays that directly involve the new physics invoked in explaining the RKðÃÞ anomalies
Summary
There is mounting evidence for a violation of lepton flavor universality (LFU) in flavor-changing neutral current processes b → sμμ in recent measurements of B decays [1,2,3,4,5,6,7]. The theoretically cleanest probes are the LFU ratios RKðÃÞ 1⁄4 ΓðB ΓðB → →. KðÃÞμþμ−Þ KðÃÞeþe−Þ ð1Þ which compare the decay rate b → sll ratio between muons and electrons, respectively. An effective field theory analysis including all b → sll data, shows that the introduction of operators. In addition to the RK anomaly, there is some evidence for a deviation
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