Study of light-meson resonances decaying to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>K</mml:mi><mml:mi mathvariant="normal">S</mml:mi><mml:mn>0</mml:mn></mml:msubsup><mml:mi>K</mml:mi><mml:mi>π</mml:mi></mml:math> in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mi>K</mml:mi><mml:mi mathvariant="normal">S</mml:mi><mml:mn>0</mml:mn></mml:msubsup><mml:mi>K</mml:mi><mml:mi>π</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mi>K</mml:mi></mml:math> channels


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, Adefisoye, AA ORCID: 0000-0003-2448-1550, 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 et al (show 1141 more authors) (2025) Study of light-meson resonances decaying to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>K</mml:mi><mml:mi mathvariant="normal">S</mml:mi><mml:mn>0</mml:mn></mml:msubsup><mml:mi>K</mml:mi><mml:mi>π</mml:mi></mml:math> in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mi>K</mml:mi><mml:mi mathvariant="normal">S</mml:mi><mml:mn>0</mml:mn></mml:msubsup><mml:mi>K</mml:mi><mml:mi>π</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mi>K</mml:mi></mml:math> channels. Physical Review D, 111 (9). 092009-. ISSN 2470-0010, 2470-0029

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Abstract

<jats:p>A study is presented of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msup><a:mi>B</a:mi><a:mo>+</a:mo></a:msup><a:mo stretchy="false">→</a:mo><a:msubsup><a:mi>K</a:mi><a:mi mathvariant="normal">S</a:mi><a:mn>0</a:mn></a:msubsup><a:msup><a:mi>K</a:mi><a:mo>−</a:mo></a:msup><a:msup><a:mi>π</a:mi><a:mo>+</a:mo></a:msup><a:msup><a:mi>K</a:mi><a:mo>+</a:mo></a:msup></a:math> and <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msup><e:mi>B</e:mi><e:mo>+</e:mo></e:msup><e:mo stretchy="false">→</e:mo><e:msubsup><e:mi>K</e:mi><e:mi mathvariant="normal">S</e:mi><e:mn>0</e:mn></e:msubsup><e:msup><e:mi>K</e:mi><e:mo>+</e:mo></e:msup><e:msup><e:mi>π</e:mi><e:mo>−</e:mo></e:msup><e:msup><e:mi>K</e:mi><e:mo>+</e:mo></e:msup></e:math> decays based on the analysis of proton-proton collision data collected with the LHCb detector at center-of-mass energies of 7, 8 and 13 TeV, corresponding to an integrated luminosity of <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mn>9</i:mn><i:mtext> </i:mtext><i:mtext> </i:mtext><i:msup><i:mi>fb</i:mi><i:mrow><i:mo>−</i:mo><i:mn>1</i:mn></i:mrow></i:msup></i:math>. The <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:msubsup><k:mi>K</k:mi><k:mi mathvariant="normal">S</k:mi><k:mn>0</k:mn></k:msubsup><k:mi>K</k:mi><k:mi>π</k:mi></k:math> invariant-mass distributions of both <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"><n:msup><n:mi>B</n:mi><n:mo>+</n:mo></n:msup></n:math> decay modes show, in the <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"><p:mi>m</p:mi><p:mo stretchy="false">(</p:mo><p:mrow><p:msubsup><p:mi>K</p:mi><p:mi mathvariant="normal">S</p:mi><p:mn>0</p:mn></p:msubsup><p:mi>K</p:mi><p:mi>π</p:mi></p:mrow><p:mo stretchy="false">)</p:mo><p:mo>&lt;</p:mo><p:mn>1.85</p:mn><p:mtext> </p:mtext><p:mtext> </p:mtext><p:mi>GeV</p:mi></p:math> mass region, large activity which is resolved using an amplitude analysis. A simple model, where <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"><u:msup><u:mi>J</u:mi><u:mrow><u:mi>P</u:mi><u:mi>C</u:mi></u:mrow></u:msup></u:math> amplitudes are described by multiple Breit-Wigner functions with appropriate angular distributions, provides a good description of the experimental data. In this approach a complex mixture of <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:msup><w:mi>J</w:mi><w:mrow><w:mi>P</w:mi><w:mi>C</w:mi></w:mrow></w:msup><w:mo>=</w:mo><w:msup><w:mn>0</w:mn><w:mrow><w:mo>−</w:mo><w:mo>+</w:mo></w:mrow></w:msup></w:math>, <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"><y:msup><y:mn>1</y:mn><y:mrow><y:mo>+</y:mo><y:mo>+</y:mo></y:mrow></y:msup></y:math> and <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"><ab:msup><ab:mn>1</ab:mn><ab:mrow><ab:mo>+</ab:mo><ab:mo>−</ab:mo></ab:mrow></ab:msup></ab:math> amplitudes is observed that is dominated by <cb:math xmlns:cb="http://www.w3.org/1998/Math/MathML" display="inline"><cb:mi>η</cb:mi><cb:mo stretchy="false">(</cb:mo><cb:mn>1405</cb:mn><cb:mo stretchy="false">)</cb:mo></cb:math>, <gb:math xmlns:gb="http://www.w3.org/1998/Math/MathML" display="inline"><gb:mi>η</gb:mi><gb:mo stretchy="false">(</gb:mo><gb:mn>1470</gb:mn><gb:mo stretchy="false">)</gb:mo></gb:math>, <kb:math xmlns:kb="http://www.w3.org/1998/Math/MathML" display="inline"><kb:mi>η</kb:mi><kb:mo stretchy="false">(</kb:mo><kb:mn>1760</kb:mn><kb:mo stretchy="false">)</kb:mo></kb:math>, <ob:math xmlns:ob="http://www.w3.org/1998/Math/MathML" display="inline"><ob:msub><ob:mi>f</ob:mi><ob:mn>1</ob:mn></ob:msub><ob:mo stretchy="false">(</ob:mo><ob:mn>1285</ob:mn><ob:mo stretchy="false">)</ob:mo></ob:math>, <sb:math xmlns:sb="http://www.w3.org/1998/Math/MathML" display="inline"><sb:msub><sb:mi>f</sb:mi><sb:mn>1</sb:mn></sb:msub><sb:mo stretchy="false">(</sb:mo><sb:mn>1420</sb:mn><sb:mo stretchy="false">)</sb:mo></sb:math> and <wb:math xmlns:wb="http://www.w3.org/1998/Math/MathML" display="inline"><wb:msub><wb:mi>h</wb:mi><wb:mn>1</wb:mn></wb:msub><wb:mo stretchy="false">(</wb:mo><wb:mn>1405</wb:mn><wb:mo stretchy="false">)</wb:mo></wb:math> resonances. The <ac:math xmlns:ac="http://www.w3.org/1998/Math/MathML" display="inline"><ac:msubsup><ac:mi>K</ac:mi><ac:mi mathvariant="normal">S</ac:mi><ac:mn>0</ac:mn></ac:msubsup><ac:mi>K</ac:mi><ac:mi>π</ac:mi></ac:math> Dalitz plots are dominated by asymmetric crossing <dc:math xmlns:dc="http://www.w3.org/1998/Math/MathML" display="inline"><dc:msup><dc:mi>K</dc:mi><dc:mo>*</dc:mo></dc:msup><dc:mover accent="true"><dc:mi>K</dc:mi><dc:mo stretchy="false">¯</dc:mo></dc:mover></dc:math> bands which are different for the two <hc:math xmlns:hc="http://www.w3.org/1998/Math/MathML" display="inline"><hc:msup><hc:mi>B</hc:mi><hc:mo>+</hc:mo></hc:msup></hc:math> decay modes. This is due to a different interference pattern between the <jc:math xmlns:jc="http://www.w3.org/1998/Math/MathML" display="inline"><jc:msup><jc:mn>1</jc:mn><jc:mrow><jc:mo>+</jc:mo><jc:mo>+</jc:mo></jc:mrow></jc:msup></jc:math> and <lc:math xmlns:lc="http://www.w3.org/1998/Math/MathML" display="inline"><lc:msup><lc:mn>1</lc:mn><lc:mrow><lc:mo>+</lc:mo><lc:mo>−</lc:mo></lc:mrow></lc:msup></lc:math> amplitudes in the two channels. Branching fractions are measured for each resonant contribution.</jats:p>

Item Type: Article
Uncontrolled Keywords: 4902 Mathematical Physics, 49 Mathematical Sciences, 51 Physical Sciences
Divisions: Faculty of Humanities and Social Sciences
Faculty of Science and Engineering
Faculty of Science and Engineering > School of Engineering
Faculty of Science and Engineering > School of Physical Sciences
Faculty of Humanities and Social Sciences > School of the Arts
Depositing User: Symplectic Admin
Date Deposited: 09 Jun 2025 10:11
Last Modified: 13 Aug 2025 18:15
DOI: 10.1103/physrevd.111.092009
Open Access URL: https://journals.aps.org/prd/pdf/10.1103/PhysRevD....
Related Websites:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3193120
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