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We propose an extension of the standard model of quarks and leptons toinclude gauge $B-L$ symmetry with an exotic array of neutral fermion singletsfor anomaly cancellation. With the addition of suitable scalars alsotransforming under $U(1)_{B-L}$, this becomes a model of radiative seesawneutrino mass with possible multipartite dark matter. If leptoquark fermionsare added, necessarily also transforming under $B-L$, the diphoton excess at750 GeV, recently observed at the Large Hadron Collider, may also be explained.

Gauge $B-L$ Model of Radiative Neutrino Mass with Multipartite Dark Matter