Studying the tensor resonance contributions in $$B \rightarrow PP\ell ^+\ell ^-$$ and $$B \rightarrow PV\ell ^+\ell ^-$$ decays

Abstract We analyze the semileptonic $$B \rightarrow T\ell ^+\ell ^-$$ B → T ℓ + ℓ - , $$B \rightarrow T(\rightarrow PP)\ell ^+\ell ^-$$ B → T ( → P P ) ℓ + ℓ - , and $$B \rightarrow T(\rightarrow PV)\ell ^+\ell ^-$$ B → T ( → P V ) ℓ + ℓ - decays with $$\ell =e,\mu ,\tau $$ ℓ = e , μ , τ based on flavor SU(3) analysis in the standard model ( T denotes the light tensor meson, P denotes the light pseudoscalar meson, and V denotes the light vector meson). The hadronic amplitudes of the $$B \rightarrow T\ell ^+\ell ^-$$ B → T ℓ + ℓ - decays are related by the nonperturbative parameters, and all branching ratios of the $$B \rightarrow T\ell ^+\ell ^-$$ B → T ℓ + ℓ - decays are obtained by the experimental data of the branching ratio of $$B^0_s\rightarrow f^{\prime }_{2}(1525)\mu ^+\mu ^-$$ B s 0 → f 2 ′ ( 1525 ) μ + μ - in three cases, and then the branching ratios of the $$B \rightarrow T(\rightarrow PP)\ell ^+\ell ^-$$ B → T ( → P P ) ℓ + ℓ - and