Exclusive decays ${\chi }_{cJ}\to K^{\ast }(892)K$ within the effective field theory framework

Abstract

We study hadronic decays ${\chi }_{cJ}\to K^{\ast }(892)\bar{K}$ 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.

25 pages, 7 figures, typos corrected, text improved, version accepted for publication in EPJ A

References in corpus (12)

• Heavy quarkonium: progress, puzzles, and opportunities
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• Moments of pseudoscalar meson distribution amplitudes from the lattice
• Twist-4 Distribution Amplitudes of the K${}^{\ast }$ and $\varphi$ Mesons in QCD
• Ultrasoft contribution to quarkonium production and annihilation
• The evasion of helicity selection rule in ${\chi }_{c1}\to VV$ and ${\chi }_{c2}\to VP$ via intermediate charmed meson loops
• B -> chi_cJ K decays revisited
• Ultrasoft contribution to heavy-quark pair production near threshold
• A Lattice Computation of the First Moment of the Kaon's Distribution Amplitude
• ${\chi }_{cJ}\to e^{+}{e}^{-}$ decays revisited
• Measurements of $\psip$ decays into $\gamma K\bar{K}\pi$ and $γη\pipi$
• Observation of the helicity-selection-rule suppressed decay of the ${\chi }_{c2}$ charmonium state