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Subtleties in triangle loops for ${D}_{s}^{+}\to {\rho }^{+}\eta \to {\pi }^{+}{\pi }^{0}\eta $ in ${a}_{0}\left(980\right)$ production

Bayar, M.; Molina, R.; Oset, E.; Liu, Ming-Zhu; Geng, Li-Sheng


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/275109</identifier>
  <creators>
    <creator>
      <creatorName>Bayar, M.</creatorName>
      <givenName>M.</givenName>
      <familyName>Bayar</familyName>
      <affiliation>Department of Physics, Kocaeli Univeristy, 41380, Izmit, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Molina, R.</creatorName>
      <givenName>R.</givenName>
      <familyName>Molina</familyName>
      <affiliation>Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Parc Científic UV, C/ Catedrático José Beltrán, 2, 46980 Paterna, Spain</affiliation>
    </creator>
    <creator>
      <creatorName>Oset, E.</creatorName>
      <givenName>E.</givenName>
      <familyName>Oset</familyName>
      <affiliation>Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Parc Científic UV, C/ Catedrático José Beltrán, 2, 46980 Paterna, Spain</affiliation>
    </creator>
    <creator>
      <creatorName>Liu, Ming-Zhu</creatorName>
      <givenName>Ming-Zhu</givenName>
      <familyName>Liu</familyName>
      <affiliation>School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China</affiliation>
    </creator>
    <creator>
      <creatorName>Geng, Li-Sheng</creatorName>
      <givenName>Li-Sheng</givenName>
      <familyName>Geng</familyName>
      <affiliation>School of Physics, Beihang University, Beijing 102206, China</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Subtleties In Triangle Loops For ${D}_{S}^{+}\To {\Rho }^{+}\Eta \To {\Pi }^{+}{\Pi }^{0}\Eta $ In ${A}_{0}\Left(980\Right)$ Production</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2024</publicationYear>
  <dates>
    <date dateType="Issued">2024-04-29</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/275109</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1103/PhysRevD.109.076027</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;We address a general problem in the evaluation of triangle loops stemming from the consideration of the range of the interaction involved in some of the vertices, as well as the energy dependence of the width of some unstable particles in the loop. We find sizeable corrections from both effects. We apply that to a loop relevant to the ${D}_{s}^{+}\to {\pi }^{+}{\pi }^{0}\eta $ decay, and find reductions of about a factor of 4 in the mass distribution of invariant mass of the $\pi \eta $ in the region of the ${a}_{0}\left(980\right)$. The method used is based on the explicit analytical evaluation of the ${q}^{0}$ integration in the ${d}^{4}q$ loop integration, using Cauchy's residues method, which at the same time offers an insight on the convergence of the integrals and the effect of form factors and cutoffs.&lt;/p&gt;</description>
  </descriptions>
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