A global analysis of $$b \rightarrow s \ell \ell $$ b s data in heavy and light $$Z'$$ Z models

Ashutosh Alok (Indian Institute of Technology Jodhpur, Jodhpur, 342037, India) ; Neetu Chundawat (Indian Institute of Technology Jodhpur, Jodhpur, 342037, India) ; Shireen Gangal (LAPTh, Universite Savoie Mont-Blanc et CNRS, Annecy, France) ; Dinesh Kumar (Department of Physics, University of Rajasthan, Jaipur, 302004, India)

We perform a model-independent global fit to all $$b \rightarrow s \ell \ell $$ b s data in the light of recent measurements of the lepton flavour universality violating (LFUV) observables $$R_{K_S^0}$$ R K S 0 , $$R_{K^{*+}}$$ R K + , and the updated observables in $$B_s \rightarrow \phi \mu ^+ \mu ^-$$ B s ϕ μ + μ - decay, by the LHCb collaboration. Assuming NP only in the muon sector, we find that the 1D NP scenarios $$C_9^{\textrm{NP}} <0 $$ C 9 NP < 0 and $$C_{9}^{\textrm{NP}}=-C_{10}^{\textrm{NP}}$$ C 9 NP = - C 10 NP continue to be the most favoured ones. However, the significance of the favoured scenario $$C_{9}^{\textrm{NP}}=-C'_{9}$$ C 9 NP = - C 9 has reduced and the updated data now marginally prefers $$C_{10}^{\textrm{NP}} > 0$$ C 10 NP > 0 scenario. The 2D scenarios $$(C_9^{\textrm{NP}}, C_{10}^{\prime } )$$ ( C 9 NP , C 10 ) , $$(C_9^{\textrm{NP}}, C_{9}^{\prime } )$$ ( C 9 NP , C 9 ) and $$(C_9^{\textrm{NP}}, C_{10}^{\textrm{NP}} )$$ ( C 9 NP , C 10 NP ) , continue to be favoured by the data in the listed order. We analyse generic TeV scale $$Z'$$ Z models which can generate the 1D scenarios, $$C_9^{\textrm{NP}} <0 $$ C 9 NP < 0 and $$C_9^{\textrm{NP}} = -C_{10}^{\textrm{NP}}$$ C 9 NP = - C 10 NP as well as 2D scenarios $$(C_9^{\textrm{NP}}, C_{9}^{\prime } )$$ ( C 9 NP , C 9 ) and $$(C_9^{\textrm{NP}}, C_{10}^{\textrm{NP}} )$$ ( C 9 NP , C 10 NP ) . We find that all four models provide an equally good fit to the data. We also consider a model with a 25 MeV $$Z'$$ Z that couples to muons only and has a $$q^2$$ q 2 dependent $$b - s$$ b - s coupling. We study the implications of the current data on the LFUV observables $$R_{\phi }$$ R ϕ , $$Q_{4,5}$$ Q 4 , 5 as well as $$R_{K^{(*)}}$$ R K ( ) in the high $$q^2$$ q 2 . We find that the $$Q_{4,5}$$ Q 4 , 5 observables have a potential to discriminate between a few favored solutions, and disentangle different heavy and light $$Z'$$ Z scenarios.

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      "surname": "Chundawat", 
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      "surname": "Gangal", 
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      "surname": "Kumar", 
      "email": "dinesh@uniraj.ac.in", 
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      "title": "A global analysis of  $$b \\rightarrow s \\ell \\ell $$  <math> <mrow> <mi>b</mi> <mo>\u2192</mo> <mi>s</mi> <mi>\u2113</mi> <mi>\u2113</mi> </mrow> </math>   data in heavy and light  $$Z'$$  <math> <msup> <mi>Z</mi> <mo>\u2032</mo> </msup> </math>   models"
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  "abstracts": [
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      "source": "Springer", 
      "value": "We perform a model-independent global fit to all  $$b \\rightarrow s \\ell \\ell $$  <math> <mrow> <mi>b</mi> <mo>\u2192</mo> <mi>s</mi> <mi>\u2113</mi> <mi>\u2113</mi> </mrow> </math>   data in the light of recent measurements of the lepton flavour universality violating (LFUV) observables  $$R_{K_S^0}$$  <math> <msub> <mi>R</mi> <msubsup> <mi>K</mi> <mi>S</mi> <mn>0</mn> </msubsup> </msub> </math>  ,  $$R_{K^{*+}}$$  <math> <msub> <mi>R</mi> <msup> <mi>K</mi> <mrow> <mrow></mrow> <mo>\u2217</mo> <mo>+</mo> </mrow> </msup> </msub> </math>  , and the updated observables in  $$B_s \\rightarrow \\phi \\mu ^+ \\mu ^-$$  <math> <mrow> <msub> <mi>B</mi> <mi>s</mi> </msub> <mo>\u2192</mo> <mi>\u03d5</mi> <msup> <mi>\u03bc</mi> <mo>+</mo> </msup> <msup> <mi>\u03bc</mi> <mo>-</mo> </msup> </mrow> </math>   decay, by the LHCb collaboration. Assuming NP only in the muon sector, we find that the 1D NP scenarios  $$C_9^{\\textrm{NP}} &lt;0 $$  <math> <mrow> <msubsup> <mi>C</mi> <mn>9</mn> <mtext>NP</mtext> </msubsup> <mo>&lt;</mo> <mn>0</mn> </mrow> </math>   and  $$C_{9}^{\\textrm{NP}}=-C_{10}^{\\textrm{NP}}$$  <math> <mrow> <msubsup> <mi>C</mi> <mrow> <mn>9</mn> </mrow> <mtext>NP</mtext> </msubsup> <mo>=</mo> <mo>-</mo> <msubsup> <mi>C</mi> <mrow> <mn>10</mn> </mrow> <mtext>NP</mtext> </msubsup> </mrow> </math>   continue to be the most favoured ones. However, the significance of the favoured scenario  $$C_{9}^{\\textrm{NP}}=-C'_{9}$$  <math> <mrow> <msubsup> <mi>C</mi> <mrow> <mn>9</mn> </mrow> <mtext>NP</mtext> </msubsup> <mo>=</mo> <mo>-</mo> <msubsup> <mi>C</mi> <mn>9</mn> <mo>\u2032</mo> </msubsup> </mrow> </math>   has reduced and the updated data now marginally prefers  $$C_{10}^{\\textrm{NP}} &gt; 0$$  <math> <mrow> <msubsup> <mi>C</mi> <mrow> <mn>10</mn> </mrow> <mtext>NP</mtext> </msubsup> <mo>&gt;</mo> <mn>0</mn> </mrow> </math>   scenario. The 2D scenarios  $$(C_9^{\\textrm{NP}}, C_{10}^{\\prime } )$$  <math> <mrow> <mo>(</mo> <msubsup> <mi>C</mi> <mn>9</mn> <mtext>NP</mtext> </msubsup> <mo>,</mo> <msubsup> <mi>C</mi> <mrow> <mn>10</mn> </mrow> <mo>\u2032</mo> </msubsup> <mo>)</mo> </mrow> </math>  ,  $$(C_9^{\\textrm{NP}}, C_{9}^{\\prime } )$$  <math> <mrow> <mo>(</mo> <msubsup> <mi>C</mi> <mn>9</mn> <mtext>NP</mtext> </msubsup> <mo>,</mo> <msubsup> <mi>C</mi> <mrow> <mn>9</mn> </mrow> <mo>\u2032</mo> </msubsup> <mo>)</mo> </mrow> </math>   and  $$(C_9^{\\textrm{NP}}, C_{10}^{\\textrm{NP}} )$$  <math> <mrow> <mo>(</mo> <msubsup> <mi>C</mi> <mn>9</mn> <mtext>NP</mtext> </msubsup> <mo>,</mo> <msubsup> <mi>C</mi> <mrow> <mn>10</mn> </mrow> <mtext>NP</mtext> </msubsup> <mo>)</mo> </mrow> </math>  , continue to be favoured by the data in the listed order. We analyse generic TeV scale  $$Z'$$  <math> <msup> <mi>Z</mi> <mo>\u2032</mo> </msup> </math>   models which can generate the 1D scenarios,  $$C_9^{\\textrm{NP}} &lt;0 $$  <math> <mrow> <msubsup> <mi>C</mi> <mn>9</mn> <mtext>NP</mtext> </msubsup> <mo>&lt;</mo> <mn>0</mn> </mrow> </math>   and  $$C_9^{\\textrm{NP}} = -C_{10}^{\\textrm{NP}}$$  <math> <mrow> <msubsup> <mi>C</mi> <mn>9</mn> <mtext>NP</mtext> </msubsup> <mo>=</mo> <mo>-</mo> <msubsup> <mi>C</mi> <mrow> <mn>10</mn> </mrow> <mtext>NP</mtext> </msubsup> </mrow> </math>   as well as 2D scenarios  $$(C_9^{\\textrm{NP}}, C_{9}^{\\prime } )$$  <math> <mrow> <mo>(</mo> <msubsup> <mi>C</mi> <mn>9</mn> <mtext>NP</mtext> </msubsup> <mo>,</mo> <msubsup> <mi>C</mi> <mrow> <mn>9</mn> </mrow> <mo>\u2032</mo> </msubsup> <mo>)</mo> </mrow> </math>   and  $$(C_9^{\\textrm{NP}}, C_{10}^{\\textrm{NP}} )$$  <math> <mrow> <mo>(</mo> <msubsup> <mi>C</mi> <mn>9</mn> <mtext>NP</mtext> </msubsup> <mo>,</mo> <msubsup> <mi>C</mi> <mrow> <mn>10</mn> </mrow> <mtext>NP</mtext> </msubsup> <mo>)</mo> </mrow> </math>  . We find that all four models provide an equally good fit to the data. We also consider a model with a 25 MeV  $$Z'$$  <math> <msup> <mi>Z</mi> <mo>\u2032</mo> </msup> </math>   that couples to muons only and has a  $$q^2$$  <math> <msup> <mi>q</mi> <mn>2</mn> </msup> </math>   dependent  $$b - s$$  <math> <mrow> <mi>b</mi> <mo>-</mo> <mi>s</mi> </mrow> </math>   coupling. We study the implications of the current data on the LFUV observables  $$R_{\\phi }$$  <math> <msub> <mi>R</mi> <mi>\u03d5</mi> </msub> </math>  ,  $$Q_{4,5}$$  <math> <msub> <mi>Q</mi> <mrow> <mn>4</mn> <mo>,</mo> <mn>5</mn> </mrow> </msub> </math>   as well as  $$R_{K^{(*)}}$$  <math> <msub> <mi>R</mi> <msup> <mi>K</mi> <mrow> <mo>(</mo> <mrow></mrow> <mo>\u2217</mo> <mo>)</mo> </mrow> </msup> </msub> </math>   in the high  $$q^2$$  <math> <msup> <mi>q</mi> <mn>2</mn> </msup> </math>  . We find that the  $$Q_{4,5}$$  <math> <msub> <mi>Q</mi> <mrow> <mn>4</mn> <mo>,</mo> <mn>5</mn> </mrow> </msub> </math>   observables have a potential to discriminate between a few favored solutions, and disentangle different heavy and light  $$Z'$$  <math> <msup> <mi>Z</mi> <mo>\u2032</mo> </msup> </math>   scenarios."
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Published on:
29 October 2022
Publisher:
Springer
Published in:
European Physical Journal C , Volume 82 (2022)
Issue 10
Pages 1-14
DOI:
https://doi.org/10.1140/epjc/s10052-022-10816-w
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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