Comprehensive analysis of local and nonlocal amplitudes in the B0 → K*0μ+μ− decay



Aaij, R, Abdelmotteleb, ASW, Abellan Beteta, C, Abudinén, F, Ackernley, T, Adefisoye, AA, Adeva, B, Adinolfi, M, Adlarson, P, Agapopoulou, C
et al (show 1084 more authors) (2024) Comprehensive analysis of local and nonlocal amplitudes in the B0 → K*0μ+μ− decay. Journal of High Energy Physics, 2024 (9). 26-. ISSN 1126-6708, 1029-8479

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Abstract

<jats:title>A<jats:sc>bstract</jats:sc> </jats:title> <jats:p>A comprehensive study of the local and nonlocal amplitudes contributing to the decay <jats:italic>B</jats:italic> <jats:sup>0</jats:sup> → <jats:italic>K</jats:italic> <jats:sup>*0</jats:sup>(→ <jats:italic>K</jats:italic> <jats:sup>+</jats:sup> <jats:italic>π</jats:italic> <jats:sup> <jats:italic>−</jats:italic> </jats:sup>)<jats:italic>μ</jats:italic> <jats:sup>+</jats:sup> <jats:italic>μ</jats:italic> <jats:sup> <jats:italic>−</jats:italic> </jats:sup> is performed by analysing the phase-space distribution of the decay products. The analysis is based on <jats:italic>pp</jats:italic> collision data corresponding to an integrated luminosity of 8.4 fb<jats:sup> <jats:italic>−</jats:italic>1</jats:sup> collected by the LHCb experiment. This measurement employs for the first time a model of both one-particle and two-particle nonlocal amplitudes, and utilises the complete dimuon mass spectrum without any veto regions around the narrow charmonium resonances. In this way it is possible to explicitly isolate the local and nonlocal contributions and capture the interference between them. The results show that interference with nonlocal contributions, although larger than predicted, only has a minor impact on the Wilson Coefficients determined from the fit to the data. For the local contributions, the Wilson Coefficient <jats:inline-formula> <jats:alternatives> <jats:tex-math>$$ {\mathcal{C}}_9 $$</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>C</mml:mi> <mml:mn>9</mml:mn> </mml:msub> </mml:math> </jats:alternatives> </jats:inline-formula>, responsible for vector dimuon currents, exhibits a 2.1<jats:italic>σ</jats:italic> deviation from the Standard Model expectation. The Wilson Coefficients <jats:inline-formula> <jats:alternatives> <jats:tex-math>$$ {\mathcal{C}}_{10} $$</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>C</mml:mi> <mml:mn>10</mml:mn> </mml:msub> </mml:math> </jats:alternatives> </jats:inline-formula>, <jats:inline-formula> <jats:alternatives> <jats:tex-math>$$ {\mathcal{C}}_9^{\prime } $$</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>C</mml:mi> <mml:mn>9</mml:mn> <mml:mo>′</mml:mo> </mml:msubsup> </mml:math> </jats:alternatives> </jats:inline-formula> and <jats:inline-formula> <jats:alternatives> <jats:tex-math>$$ {\mathcal{C}}_{10}^{\prime } $$</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>C</mml:mi> <mml:mn>10</mml:mn> <mml:mo>′</mml:mo> </mml:msubsup> </mml:math> </jats:alternatives> </jats:inline-formula> are all in better agreement than <jats:inline-formula> <jats:alternatives> <jats:tex-math>$$ {\mathcal{C}}_9 $$</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>C</mml:mi> <mml:mn>9</mml:mn> </mml:msub> </mml:math> </jats:alternatives> </jats:inline-formula> with the Standard Model and the global significance is at the level of 1.5<jats:italic>σ</jats:italic>. The model used also accounts for nonlocal contributions from <jats:italic>B</jats:italic> <jats:sup>0</jats:sup> <jats:italic>→ K</jats:italic> <jats:sup>*0</jats:sup>[<jats:italic>τ</jats:italic> <jats:sup>+</jats:sup> <jats:italic>τ</jats:italic> <jats:sup> <jats:italic>−</jats:italic> </jats:sup> <jats:italic>→ μ</jats:italic> <jats:sup>+</jats:sup> <jats:italic>μ</jats:italic> <jats:sup> <jats:italic>−</jats:italic> </jats:sup>] rescattering, resulting in the first direct measurement of the <jats:italic>bsττ</jats:italic> vector effective-coupling <jats:inline-formula> <jats:alternatives> <jats:tex-math>$$ {\mathcal{C}}_{9\tau } $$</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>C</mml:mi> <mml:mrow> <mml:mn>9</mml:mn> <mml:mi>τ</mml:mi> </mml:mrow> </mml:msub> </mml:math> </jats:alternatives> </jats:inline-formula>.</jats:p>

Item Type: Article
Uncontrolled Keywords: 4902 Mathematical Physics, 5107 Particle and High Energy Physics, 49 Mathematical Sciences, 51 Physical Sciences
Divisions: Faculty of Science and Engineering
Faculty of Science and Engineering > School of Physical Sciences
Depositing User: Symplectic Admin
Date Deposited: 30 Sep 2024 07:34
Last Modified: 16 Mar 2025 13:47
DOI: 10.1007/jhep09(2024)026
Open Access URL: https://link.springer.com/content/pdf/10.1007/JHEP...
Related Websites:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3184781