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Exclusive decays \(\chi_{cJ}\rightarrow K^{\ast} (892)K\) within the effective field theory framework

  • Nikolay KivelEmail author
Regular Article - Theoretical Physics

Abstract.

We study hadronic decays \( \chi_{cJ}\rightarrow K^{\ast}(892)\bar{K}\) within the effective field theory framework. We consider the colour-singlet and colour-octet contributions and study their properties using (p)NRQCD effective theory. We show that infrared singularities in collinear integrals of the colour-singlet amplitudes can be absorbed into the renormalisation of the colour-octet matrix elements. The heavy quark spin symmetry allows us to establish a relation between the colour-octet matrix elements and to define the spin symmetry breaking corrections which are free from infrared singularities. We apply obtained results for a phenomenological description of the branching fractions.

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Copyright information

© SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Institut für KernphysikJohannes Gutenberg-UniversitätMainzGermany
  2. 2.Petersburg Nuclear Physics InstituteGatchinaRussia

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