Abstract
We probe the rare semileptonic decays $B_{(s)} \to K_2^*(1430)(f_2'(1525)) \ell^+\ell^-$ proceeding via $b\to s \ell \ell$ transition in the presence of a light $Z^{\prime}$ boson. We employ the presence of an additional vector type interaction and constrain the new physics coupling parameter using the existing experimental measurements on $R_K$ and $R_{K^*}$ observables. To understand the sensitivity of the new physics coupling, we investigate the impact of this coupling on various physical observables such as differential branching ratio, the forward-backward asymmetry, the lepton polarization asymmetry, the angular observable $P_5^{\prime}$, and the lepton universality parameters such as the ratio of the branching ratio $R_{f_2'(K_2^*)}$ and some important Q parameters of $B_{(s)} \to K_2^*(1430)(f_2'(1525)) \ell^+\ell^-$ processes at large recoil. We find some noticeable differences of the observables in the presence of light $Z^{\prime}$ contribution.
Highlights
According to our best understanding, the standard model (SM), a successful theory, is not enough to explain some key puzzles such as matter-antimatter asymmetry in the Universe, dark matter, dark energy, hierarchy problem, neutrino mass, and so on
In order to scrutinize the structure of new physics, we explore with various interesting observables for the processes BðsÞ → Tlþl− given as follows [52]: (i) differential branching ratio
Using the new physics (NP) coupling, we report the impact on various observables such as differential branching ratio, the lepton polarization fraction FL, the forward-backward asymmetry AFB, and the angular observable P05
Summary
According to our best understanding, the standard model (SM), a successful theory, is not enough to explain some key puzzles such as matter-antimatter asymmetry in the Universe, dark matter, dark energy, hierarchy problem, neutrino mass, and so on. In the light of neutral quark-level transitions, several measurements, most importantly, the lepton flavor universality violation (LFUV) parameter RKÃ 1⁄4 BRðB → KÃμþμ−Þ= BRðB → KÃeþe−Þ observed from LHCb [1,2] and Belle [3], have 2.1 − 2.4σ deviation from SM prediction ∼1 [4,5]. In the presence of light mediators, the discrepancy can be explained for the observables like the RK and RKÃ [43,44,45] In this respect, we consider a light Z0 in which the NP Wilson coefficients are q2 dependent [33,38,44,45,46] and study the impact on BðBsÞ → TfKÃ2ð1430Þ ðf02ð1525ÞÞglþl− decays.
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