Isospin violating decay $D_s^{\ast }\to D_s{\pi }^0$ in chiral perturbation theory

Abstract

We systematically calculate the isospin violating decay, $D_s^{\ast }\to D_s{\pi }^0$, with the heavy meson chiral perturbation theory up to $\mathcal{O}(p^3)$ including the loop diagrams. The $\mathcal{O}(p^3)$ tree level amplitudes contain four undetermined LECs. We use two strategies to estimate them. With the nonanalytic dominance approximation, we get $\Gamma [D_s^{\ast }\to D_s{\pi }^0]=(3.38\pm 0.12)$ eV. With the naturalness assumption, we give a possible range of the isospin violating decay width, $[1.11-6.88]$ eV. We find that the contribution of the $\mathcal{O}(p^3)$ corrections might be significant.

arXiv comment8 pages,5 figures

References in corpus (39)

• Modern Theory of Nuclear Forces
• Phenomenology of Heavy Meson Chiral Lagrangians
• A review of the open charm and open bottom systems
• Elastic $\pi \pi$ scattering to two loops
• Chiral Lagrangians for Radiative Decays of Heavy Hadrons
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Decay constants and radiative decays of heavy mesons in light-front quark model
• Radiative $D^{\ast }$ Decay Using Heavy Quark and Chiral Symmetry
• Chiral perturbation theory for hadrons containing a heavy quark: the sequel
• Leptonic decay constants fK, fD and fDs with Nf = 2+1+1 twisted-mass lattice QCD
• Understanding the $D_{sJ}^{+}(2317)$ and $D_{sJ}^{+}(2460)$ with Sum Rules in HQET
• Electromagnetic Interactions in Heavy Hadron Chiral Theory
• Analysis of the masses and decay constants of the heavy-light mesons with QCD sum rules
• Hidden-charm and hidden-bottom molecular pentaquarks in chiral perturbation theory
• A Constituent Quark-Meson Model for Heavy-Meson Processes
• A note on isospin violation in Pl2(gamma) decays
• Towards a new paradigm for heavy-light meson spectroscopy
• Calculation of the heavy-hadron axial couplings g_1, g_2, and g_3 using lattice QCD
• Radiative Heavy Meson Transitions
• On chiral extrapolations of charmed meson masses and coupled-channel reaction dynamics
• D*-->Dpi and D*-->Dgamma decays: Axial coupling and Magnetic moment of D* meson
• Radiative Transitions in Heavy Mesons in a Relativistic Quark Model
• Corrections to Chiral Dynamics of Heavy Hadrons: SU(3) Symmetry Breaking, (with some minor corrections)
• Radiative M1-decays of heavy-light mesons in the relativistic quark model
• Radiative $B^{\ast }B\gamma$ and $D^{\ast }D\gamma$ coupling constants in light cone QCD sum rules
• Radiative $B^{\ast }\to B\gamma$ and $D^{\ast }\to D\gamma$ decays in light cone QCD sum rules
• Comment on $D_s^{\ast }\to D_s{\pi }^0$ Decay
• $B^{\ast }B\pi (\gamma )$ couplings and $D^*\rar Dπ(γ) $-decays within a $1/M$-expansion in $full$ QCD
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• (D* to D + gamma) and (B* to B + gamma) as derived from QCD Sum Rules
• Strong and radiative decays of heavy mesons in a covariant model
• Observation of the Isospin-Violating Decay $D_s^{\ast +}\to D_s^{+}{\pi }^0$
• Tetraquark interpolating fields in a lattice QCD investigation of the $D_{s0}^{\ast }(2317)$ meson
• Corrections to Chiral Dynamics of Heavy Hadrons: (I) 1/M Correction
• Radiative transitions and magnetic moments of the charmed and bottom vector mesons in chiral perturbation theory
• Light pseudoscalar meson and doubly charmed baryon scattering lengths with heavy diquark-antiquark symmetry
• Meson Electro-Magnetic Form Factors in an Extended Nambu--Jona-Lasinio model including Heavy Quark Flavors
• Meson Decays in an Extended Nambu--Jona-Lasinio model with Heavy Quark Flavors
• Measurement of the Branching Ratios Gamma(D_s*+ -> D_s+ pi0)/Gamma(D_s*+ -> D_s+ gamma) and Gamma(D0+ -> D0 pi0)/Gamma(D0* -> D0 gamma)

Cited by in corpus (7)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Analysis of three-body charmed B meson decays under the factorization-assisted topological-amplitude approach
• Purely leptonic decays of the ground charged vector mesons
• The role of $D_{(s)}^{\ast }$ and their contributions in $B_{(s)}\to D_{(s)}h{h}^{\prime }$ decays
• $X$ structures in $B^{+}\to J/\psi \varphi K^{+}$ as one-loop and double-triangle threshold cusps
• Measurement of branching fraction of $D_s^{\ast +}\to D_s^{+}{\pi }^0$ relative to $D_s^{\ast +}\to D_s^{+}\gamma$
• Combined study of the isospin-violating decay $D_s^{\ast }\to D_s{\pi }^0$ and radiative decay $D_s^{\ast }\to D_s\gamma$ with intermediate meson loops