Deciphering the Belle II data on $B\to K \nu \bar\nu$ decay in the (dark) SMEFT with minimal flavour violation

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Title: Deciphering the Belle II data on $B\to K \nu \bar\nu$ decay in the (dark) SMEFT with minimal flavour violation
Authors: Hou, Biao-Feng, Li, Xin-Qiang, Shen, Meng, Yang, Ya-Dong, Yuan, Xing-Bo
Publication Year: 2024
Collection: High Energy Physics - Experiment
High Energy Physics - Phenomenology
Subject Terms: High Energy Physics - Phenomenology, High Energy Physics - Experiment
More Details: Recently, the Belle II collaboration announced the first measurement of $\mathcal B(B^+\to K^+\nu\bar\nu)$, which is found to be about $2.7\sigma$ higher than the SM prediction. We decipher the data with two new physics scenarios: the underlying $b\to s \nu\bar\nu$ transition is, besides the SM contribution, further affected by heavy new mediators that are much heavier than the EW scale, or amended by an additional decay channel with undetected light final states like dark matter or axion-like particles. These two scenarios can be most conveniently analyzed in the SMEFT and the dark SMEFT (DSMEFT) framework, respectively. We consider the flavour structures of the resulting effective operators to be either generic or satisfy the minimal flavour violation (MFV) hypothesis, both for the quark and lepton sectors. In the first scenario, once the MFV is assumed, only one SM-like low-energy effective operator induced by the SMEFT dim-6 operators can account for the Belle II excess, the parameter space of which is, however, excluded by the Belle upper bound on $\mathcal B(B^0\to K^{*0}\nu\bar\nu)$. In the second scenario, it is found that the Belle II excess can be accommodated by 22 of the DSMEFT operators involving one or two scalar, fermionic, or vector dark matters as well as ALPs. These operators also receive dominant constraints from the $B^0\to K^{*0}+$inv and $B_s\to$inv decays. In the MFV hypothesis, the number of viable operators is reduced to 14, and the $B^+\to\pi^+ +$inv and $K^+\to\pi^++$inv decays start to put further constraints. Within the parameter space allowed by all the current experimental data, the $q^2$ distributions (and $F_L$) of the $B\to K^{(*)}+$inv decays are studied for each viable operator. In addition, we, for the first time, calculate systematically the longitudinal polarization fraction $F_L$ of $K^*$ in the $B\to K^*+$inv decays within the DLEFT.
Comment: 51 pages, 13 figures, comments welcome; v2: discussions on $F_L$ of the $B \to K^* + \text{inv}$ decay in the DSMEFT added, errors in the $B \to V + \text{inv}$ decays for some operators involving two scalar or vector DM fields fixed, the related discussions and figures 2, 6, 7, 11 and 12 corrected, main conclusion unchanged, a few comments and refs added
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2402.19208
Accession Number: edsarx.2402.19208
Database: arXiv
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  Label: Title
  Group: Ti
  Data: Deciphering the Belle II data on $B\to K \nu \bar\nu$ decay in the (dark) SMEFT with minimal flavour violation
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  Data: <searchLink fieldCode="AR" term="%22Hou%2C+Biao-Feng%22">Hou, Biao-Feng</searchLink><br /><searchLink fieldCode="AR" term="%22Li%2C+Xin-Qiang%22">Li, Xin-Qiang</searchLink><br /><searchLink fieldCode="AR" term="%22Shen%2C+Meng%22">Shen, Meng</searchLink><br /><searchLink fieldCode="AR" term="%22Yang%2C+Ya-Dong%22">Yang, Ya-Dong</searchLink><br /><searchLink fieldCode="AR" term="%22Yuan%2C+Xing-Bo%22">Yuan, Xing-Bo</searchLink>
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  Label: Publication Year
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  Data: 2024
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  Data: High Energy Physics - Experiment<br />High Energy Physics - Phenomenology
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– Name: Abstract
  Label: Description
  Group: Ab
  Data: Recently, the Belle II collaboration announced the first measurement of $\mathcal B(B^+\to K^+\nu\bar\nu)$, which is found to be about $2.7\sigma$ higher than the SM prediction. We decipher the data with two new physics scenarios: the underlying $b\to s \nu\bar\nu$ transition is, besides the SM contribution, further affected by heavy new mediators that are much heavier than the EW scale, or amended by an additional decay channel with undetected light final states like dark matter or axion-like particles. These two scenarios can be most conveniently analyzed in the SMEFT and the dark SMEFT (DSMEFT) framework, respectively. We consider the flavour structures of the resulting effective operators to be either generic or satisfy the minimal flavour violation (MFV) hypothesis, both for the quark and lepton sectors. In the first scenario, once the MFV is assumed, only one SM-like low-energy effective operator induced by the SMEFT dim-6 operators can account for the Belle II excess, the parameter space of which is, however, excluded by the Belle upper bound on $\mathcal B(B^0\to K^{*0}\nu\bar\nu)$. In the second scenario, it is found that the Belle II excess can be accommodated by 22 of the DSMEFT operators involving one or two scalar, fermionic, or vector dark matters as well as ALPs. These operators also receive dominant constraints from the $B^0\to K^{*0}+$inv and $B_s\to$inv decays. In the MFV hypothesis, the number of viable operators is reduced to 14, and the $B^+\to\pi^+ +$inv and $K^+\to\pi^++$inv decays start to put further constraints. Within the parameter space allowed by all the current experimental data, the $q^2$ distributions (and $F_L$) of the $B\to K^{(*)}+$inv decays are studied for each viable operator. In addition, we, for the first time, calculate systematically the longitudinal polarization fraction $F_L$ of $K^*$ in the $B\to K^*+$inv decays within the DLEFT.<br />Comment: 51 pages, 13 figures, comments welcome; v2: discussions on $F_L$ of the $B \to K^* + \text{inv}$ decay in the DSMEFT added, errors in the $B \to V + \text{inv}$ decays for some operators involving two scalar or vector DM fields fixed, the related discussions and figures 2, 6, 7, 11 and 12 corrected, main conclusion unchanged, a few comments and refs added
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      – SubjectFull: High Energy Physics - Phenomenology
        Type: general
      – SubjectFull: High Energy Physics - Experiment
        Type: general
    Titles:
      – TitleFull: Deciphering the Belle II data on $B\to K \nu \bar\nu$ decay in the (dark) SMEFT with minimal flavour violation
        Type: main
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            NameFull: Hou, Biao-Feng
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            NameFull: Li, Xin-Qiang
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            NameFull: Shen, Meng
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            NameFull: Yang, Ya-Dong
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            NameFull: Yuan, Xing-Bo
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              Type: published
              Y: 2024
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