The role of the next-to-leading order triangle-shaped diagram in two-body hadronic decays

Abstract

The next-to-leading-order contribution to the amplitude of a two-body decay process is a triangle-shaped diagram in which the unstable state is exchanged by the emitted particles. In this work we calculate this diagram in the framework of a scalar quantum field theory and we estimate its role in hadronic physics, i.e., we apply our results to the well-known scalar-isoscalar resonances $f_0(500)$, $f_0(980)$, $f_0(1370)$, $f_0(1500)$, $f_0(1710)$ and the scalar-isovector resonance $a_0(1450)$. It turns out that, with the exception of the broad resonance $f_0(500)$, the next-to-leading-order contribution is small and can be neglected.

arXiv comment18 pages, 6 figures, 1 table

References in corpus (55)

• Heavy quarkonium: progress, puzzles, and opportunities
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• The Anatomy of Electro-Weak Symmetry Breaking. I: The Higgs boson in the Standard Model
• Meson-Meson interaction in a non-perturbative chiral approach
• Mass and width of the lowest resonance in QCD
• Evidence that the a0(980) and f0(980) are not elementary particles
• A new look at scalar mesons
• From the quantum Zeno to the inverse quantum Zeno effect
• Resurrection of the Sigma Meson
• Is $f_0(1500)$ a Scalar Glueball?
• A low-lying scalar meson nonet in a unitarized meson model
• A Theory of Scalar Mesons
• Precise determination of the f0(600) and f0(980) pole parameters from a dispersive data analysis
• Quantum Zeno effect by general measurements
• Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons
• Updated Global Analysis of Higgs Couplings
• Vacuum Properties of Mesons in a Linear Sigma Model with Vector Mesons and Global Chiral Invariance
• Mechanism for a next-to-lowest lying scalar meson nonet
• Toy model for two chiral nonets
• Vacuum phenomenology of the chiral partner of the nucleon in a linear sigma model with vector mesons
• The nature of $\sigma$, $\kappa$, $a_0(980)$ and $f_0(980)$
• Global aspects of the scalar meson puzzle
• Mixing of scalar tetraquark and quarkonia states in a chiral approach
• The Glueball in a Chiral Linear Sigma Model with Vector Mesons
• Pion and sigma meson properties in a relativistic quark model
• Temporal behavior and quantum Zeno time of an excited state of the hydrogen atom
• Dynamical Generation of Scalar Mesons
• A chiral model for bar{q}q and bar{q}bar{q}qq$ mesons
• Experimental status of the $\pi \pi$ isoscalar S wave at low energy: $f_0(600)$ pole and scattering length
• On the spectral functions of scalar mesons
• Two-photon decays of hadronic molecules
• Strong and electromagnetic decays of the light scalar mesons interpreted as tetraquark states
• A covariant constituent quark/gluon model for the glueball-quarkonia content of scalar-isoscalar mesons
• Isosinglet Scalar Mesons Below 2 GeV and the Scalar Glueball Mass
• Non-exponential decay in quantum field theory and in quantum mechanics: the case of two (or more) decay channels
• Vector and axial-vector correlators in a chirally symmetric model
• f0(980) meson as a K bar K molecule in a phenomenological Lagrangian approach
• Two chiral nonet model with massless quarks
• Dynamical generation and dynamical reconstruction
• Strong and radiative decays of the scalars f0(980) and a0(980) in a hadronic molecule approach
• Lifetime of Kaonium
• Propagators of light scalar mesons
• Model independent determination of the sigma pole
• Chiral Nonet Mixing in pi pi Scattering
• On the two-photon decay width of the sigma meson
• Propagator poles and an emergent stable state below threshold: general discussion and the E(38) state
• Sigma pole position and errors of a once and twice subtracted dispersive analysis of pi-pi scattering data
• Energy uncertainty of the final state of a decay process
• The Quark-Level Linear σ Model
• Low-lying Scalars in an extended Linear $\sigma$ Model
• The lightest scalar meson in a simple approach
• Meson spectroscopy: too much excitement and too few excitations
• Resonances and poles in the second Riemann sheet
• Process gamma* gamma -> sigma at large virtuality of gamma*

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