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Chinese Physics C > 2023, Vol. 47 > Issue(10): 103104 DOI: 10.1088/1674-1137/ace821

$ {\boldsymbol{B_{(s)} \rightarrow D^{**}_{(s)}}} $ form factors in HQEFT and model independent analysis of relevant semileptonic decays with NP effects

  • 1.

    Department of physics, Liaoning Normal University, Dalian 116029, China

  • 2.

    Center for Theoretical and Experimental High Energy Physics, Liaoning Normal University, Dalian 116029, China

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Ya-Bing Zuo, Hong-Yao Jin, Jing-Ying Tian, Jia Yi, Han-Yu Gong and Ting-Ting Pan. $ B_{(s)} \rightarrow D^{**}_{(s)} $ form factors in HQEFT and model independent analysis of relevant semileptonic decays with NP effects[J]. Chinese Physics C. doi: 10.1088/1674-1137/ace821
Ya-Bing Zuo, Hong-Yao Jin, Jing-Ying Tian, Jia Yi, Han-Yu Gong and Ting-Ting Pan. $ B_{(s)} \rightarrow D^{**}_{(s)} $ form factors in HQEFT and model independent analysis of relevant semileptonic decays with NP effects[J]. Chinese Physics C. doi:10.1088/1674-1137/ace821 shu
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Received: 2023-02-26
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      沈阳化工大学材料科学与工程学院 沈阳 110142

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    $ {\boldsymbol{B_{(s)} \rightarrow D^{**}_{(s)}}} $ form factors in HQEFT and model independent analysis of relevant semileptonic decays with NP effects

    • 1. Department of physics, Liaoning Normal University, Dalian 116029, China
    • 2. Center for Theoretical and Experimental High Energy Physics, Liaoning Normal University, Dalian 116029, China
    • Received Date:2023-02-26
    • Available Online:2023-10-15

      Abstract:The form factors of $ B_{(s)} $ decays intoP-wave excited charmed mesons (including $ D^*_0(2300) $ , $ D_1(2430) $ , $ D_1(2420) $ , $ D^*_2(2460) $ and their strange counterparts, denoted generically as $ D^{**}_{(s)} $ ) are systematically calculated via QCD sum rules in the framework of heavy quark effective field theory (HQEFT). We consider contributions up to the next leading order of heavy quark expansion and give all the relevant form factors, including the scalar and tensor ones only relevant for possible new physics effects. The expressions for the form factors in terms of several universal wave functions are derived via heavy quark expansion. These universal functions can be evaluated through QCD sum rules. Then, the numerical results of the form factors are presented. With the form factors given here, a model independent analysis of relevant semileptonic decays $ B_{(s)} \rightarrow D^{**}_{(s)} l \bar{\nu}_l $ is performed, including the contributions from possible new physics effects. Our predictions for the differential decay widths, branching fractions, and ratios of branching fractions $ R(D^{**}_{(s)}) $ may be tested in more precise experiments in the future.

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        I. INTRODUCTION

        • The $ B_{(s)} $ to charmed meson semileptonic decays are important for measurements of the CKM matrix element $ |V_{cb}| $ and are also probes for new physics (NP) beyond the standard model (SM). Despite being a charged current channel, some intriguing hints of discrepancies have been observed by several experimental collaborations. Measurements of the ratios of branching fractions,

          $ \begin{aligned}[b] R(D^{(*)})= \frac{Br(B \rightarrow D^{(*)} \tau \bar{\nu}_\tau ) }{Br(B \rightarrow D^{(*)} l \bar{\nu}_l ) }, \quad l=e,\mu \end{aligned} $

          		(1)

          show a $ 3.3 \sigma $ tension with their SM expectations when theDand $ D^* $ results are combined [1], which may imply violation of lepton flavor universality. To further confirm or rule out these hints, it is necessary to investigate the additional decay modes mediated by the same parton level transition, not only because these decays can give complementary information, but also because they constitute important backgrounds to $ R(D^{(*)}) $ measurements. Moreover, better theoretical control of these modes will help improve the determinations of $ |V_{cb}| $ and understand the composition of inclusive $ B_{(s)} \rightarrow X_c l \bar{\nu}_l $ decays in terms of relevant exclusive channels.

          In this study, we focus on the $ B_{(s)} \rightarrow D^{**}_{(s)} l \bar{\nu}_l $ decays, with $ D^{**}_{(s)} $ denotingP-wave excited charmed mesons. Specifically [2],

          $ \begin{aligned}[b] D^{**} \in \{ D^*_0(2300), D_1(2430), D_1(2420), D^*_2(2460) \}, \end{aligned} $

          		(2)
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