Determination of short- and long-distance contributions in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>B</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:msup><mml:mi>K</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mi>μ</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>μ</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math> decays


Aaij, R ORCID: 0000-0003-0533-1952, Abdelmotteleb, ASW ORCID: 0000-0001-7905-0542, Abellan Beteta, C, Abudinén, F ORCID: 0000-0002-6737-3528, Ackernley, T ORCID: 0000-0002-5951-3498, Adeva, B ORCID: 0000-0001-9756-3712, Adinolfi, M ORCID: 0000-0002-1326-1264, Adlarson, P ORCID: 0000-0001-6280-3851, Agapopoulou, C ORCID: 0000-0002-2368-0147, Aidala, CA ORCID: 0000-0001-9540-4988 et al (show 1093 more authors) (2024) Determination of short- and long-distance contributions in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>B</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:msup><mml:mi>K</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mi>μ</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>μ</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math> decays. Physical Review D, 109 (5). 052009-. ISSN 2470-0010, 2470-0029

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Abstract

<jats:p>An amplitude analysis of the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msup><a:mi>B</a:mi><a:mn>0</a:mn></a:msup><a:mo stretchy="false">→</a:mo><a:msup><a:mi>K</a:mi><a:mrow><a:mo>*</a:mo><a:mn>0</a:mn></a:mrow></a:msup><a:mrow><a:msup><a:mi>μ</a:mi><a:mo>+</a:mo></a:msup><a:msup><a:mi>μ</a:mi><a:mo>−</a:mo></a:msup></a:mrow></a:math> decay is presented. The analysis is based on data collected by the LHCb experiment from proton-proton collisions at <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:msqrt><d:mi>s</d:mi></d:msqrt><d:mo>=</d:mo><d:mn>7</d:mn></d:math>, 8 and 13 TeV, corresponding to an integrated luminosity of <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:mn>4.7</f:mn><f:mtext> </f:mtext><f:mtext> </f:mtext><f:msup><f:mi>fb</f:mi><f:mrow><f:mo>−</f:mo><f:mn>1</f:mn></f:mrow></f:msup></f:math>. For the first time, Wilson coefficients and nonlocal hadronic contributions are accessed directly from the unbinned data, where the latter are parametrized as a function of <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"><h:msup><h:mi>q</h:mi><h:mn>2</h:mn></h:msup></h:math> with a polynomial expansion. Wilson coefficients and nonlocal hadronic parameters are determined under two alternative hypotheses: the first relies on experimental information alone, while the second one includes information from theoretical predictions for the nonlocal contributions. Both models obtain similar results for the parameters of interest. The overall level of compatibility with the Standard Model is evaluated to be between 1.8 and 1.9 standard deviations when looking at the <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:msub><j:mi mathvariant="script">C</j:mi><j:mn>9</j:mn></j:msub></j:math> Wilson coefficient alone, and between 1.3 and 1.4 standard deviations when considering the full set of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:msub><m:mi mathvariant="script">C</m:mi><m:mn>9</m:mn></m:msub><m:mo>,</m:mo><m:msub><m:mi mathvariant="script">C</m:mi><m:mn>10</m:mn></m:msub><m:mo>,</m:mo><m:msubsup><m:mi mathvariant="script">C</m:mi><m:mn>9</m:mn><m:mo>′</m:mo></m:msubsup></m:math> and <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"><r:msubsup><r:mi mathvariant="script">C</r:mi><r:mn>10</r:mn><r:mo>′</r:mo></r:msubsup></r:math> Wilson coefficients. The ranges reflect the theoretical assumptions made in the analysis.</jats:p> <jats:sec> <jats:title/> <jats:supplementary-material> <jats:permissions> <jats:copyright-statement>© 2024 CERN, for the LHCb Collaboration</jats:copyright-statement> <jats:copyright-year>2024</jats:copyright-year> <jats:copyright-holder>CERN</jats:copyright-holder> </jats:permissions> </jats:supplementary-material> </jats:sec>

Item Type: Article
Uncontrolled Keywords: 4902 Mathematical Physics, 49 Mathematical Sciences, 51 Physical Sciences
Depositing User: Symplectic Admin
Date Deposited: 27 Jun 2024 13:10
Last Modified: 01 Apr 2025 11:37
DOI: 10.1103/physrevd.109.052009
Open Access URL: https://journals.aps.org/prd/pdf/10.1103/PhysRevD....
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3182445
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