Matching Heavy Particle Approach to Relativistic Theory

Abstract

On the simple model of interacting massless and heavy scalar fields it is demonstrated that the technique of heavy baryon chiral perturbation theory reproduces the results of relativistic theory. Explicit calculations are performed for diagrams including two-loops.

12 pages, 4 figures, corrected some typos, a reference added, to appear in PRD

Cited by in corpus (139)

• FLAG Review 2019
• The chiral representation of the $\pi N$ scattering amplitude and the pion-nucleon sigma term
• Electromagnetic excitation of the Delta(1232)-resonance
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Chiral Perturbation Theory and Baryon Properties
• 50 Years of Quantum Chromodynamics
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• Scattering lengths of Nambu-Goldstone bosons off $D$ mesons and dynamically generated heavy-light mesons
• Heavy Hadrons in Nuclear Matter
• Octet baryon masses in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory
• Analyses of pion-nucleon elastic scattering amplitudes up to $O(p^4)$ in extended-on-mass-shell subtraction scheme
• Chiral Effective-Field Theory in the Delta(1232) Region: Pion Electroproduction on the Nucleon
• Predictive powers of chiral perturbation theory in Compton scattering off protons
• Including the $\Delta (1232)$ resonance in baryon chiral perturbation theory
• The nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD world data
• Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances
• The lowest-lying baryon masses in covariant SU(3)-flavor chiral perturbation theory
• Chiral perturbation theory of muonic hydrogen Lamb shift: polarizability contribution
• FLAG Review 2024
• Low-energy interactions of Nambu-Goldstone bosons with $D$ mesons in covariant chiral perturbation theory
• Octet-baryon axial-vector charges and SU(3)-breaking effects in the semileptonic hyperon decays
• Infrared regularization of baryon chiral perturbation theory reformulated
• On chiral extrapolations of charmed meson masses and coupled-channel reaction dynamics
• Electromagnetic form factors of the nucleon in relativistic baryon chiral perturbation theory
• Light baryon magnetic moments and N -> Delta gamma transition in a Lorentz covariant chiral quark approach
• Scalar strangeness content of the nucleon and baryon sigma terms
• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• Power counting in baryon chiral perturbation theory including vector mesons
• Baryon masses and nucleon sigma terms in manifestly Lorentz-invariant baryon chiral perturbation theory
• On finite volume effects in the chiral extrapolation of baryon masses
• Nuclear Currents in Chiral Effective Field Theory
• Complex-mass renormalization in chiral effective field theory
• Elastic pion-nucleon scattering in chiral perturbation theory: A fresh look
• Is Heavy Baryon Approach Necessary?
• Accurate relativistic chiral nucleon-nucleon interaction up to NNLO
• The Theory of Parity Violation in Few-Nucleon Systems
• Baryon self energies in the chiral loop expansion
• Electromagnetic form factors of the nucleon in effective field theory
• Chiral Perturbation Theory: Introduction and Recent Results in the One-Nucleon Sector
• Leading-order decuplet contributions to the baryon magnetic moments in Chiral Perturbation Theory
• Extraction of nucleon axial charge and radius from lattice QCD results using baryon chiral perturbation theory
• On the quark-mass dependence of the baryon ground-state masses
• Cross-channel constraints on resonant antikaon-nucleon scattering
• Hadron Polarizabilities
• On the convergence of the chiral expansion for the baryon ground-state masses
• Masses and sigma terms of doubly charmed baryons up to $\mathcal{O}(p^4)$ in manifestly Lorentz-invariant baryon chiral perturbation theory
• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• Chiral expansion of the nucleon mass to order q^6
• Chiral theory of nucleons and pions in the presence of an external gravitational field
• Infrared renormalization of two-loop integrals and the chiral expansion of the nucleon mass
• Pion-nucleon sigma term revisited in covariant baryon chiral perturbation theory
• Covariant chiral nucleon-nucleon contact Lagrangian up to order $\mathcal{O}(q^4)$
• Mass and width of the Roper resonance using complex-mass renormalization
• Infrared and extended on-mass-shell renormalization of two-loop diagrams
• Consistency of the $\pi \Delta$ interaction in chiral perturbation theory
• πN scattering in relativistic baryon chiral perturbation theory revisited
• Chiral perturbation theory
• Improving the ultraviolet behavior in baryon chiral perturbation theory
• Threshold ${\pi }^0$ photoproduction in relativistic chiral perturbation theory
• Magnetic moments of the spin-$\frac{1}{2}$ singly charmed baryons in chiral perturbation theory
• Decuplet baryon masses in covariant baryon chiral perturbation theory
• Weak pion production off the nucleon in covariant chiral perturbation theory
• Virtual decuplet effects on octet baryon masses in covariant baryon chiral perturbation theory
• Magnetic moment of the Roper resonance
• Taking dibaryon fields seriously
• The width of the Roper resonance in baryon chiral perturbation theory
• Elastic and inelastic pion-nucleon scattering to fourth order in chiral perturbation theory
• Electromagnetic transition form factors of the Roper resonance in effective field theory
• Structure of the nucleon in chiral perturbation theory
• On the possibility of a discontinuous quark-mass dependence of baryon octet and decuplet masses
• Radiative corrections to semileptonic beta decays: Progress and challenges
• CP-violating decays of the pseudoscalars eta and eta' and their connection to the electric dipole moment of the neutron
• The nucleon-nucleon potential beyond the static approximation
• On the axial-vector form factor of the nucleon and chiral symmetry
• Octet baryon magnetic moments at next-to-next-to-leading order in covariant chiral perturbation theory
• The width of the $\Delta$-resonance at two loop order in baryon chiral perturbation theory
• Meson-baryon scattering to one-loop order in heavy baryon chiral perturbation theory
• The magnetic moments and electromagnetic form factors of the decuplet baryons in chiral perturbation theory
• Leading order mesonic and baryonic SU(3) low energy constants from $N_f=3$ lattice QCD
• Two-Pion-Exchange contributions to the nucleon-nucleon interactions in covariant baryon chiral perturbation theory
• Renormalization of the three-boson system with short-range interactions revisited
• The reaction pi N -> pi pi N in chiral effective field theory with explicit Delta(1232) degrees of freedom
• $\Delta (1232)$ resonance in the $\vec{\gamma }p\to p{\pi }^0$ reaction at threshold
• Light quark mass dependence of the $D$ and $D_s$ decay constants
• Systematic study of octet-baryon electromagnetic form factors in covariant chiral perturbation theory
• Meson-baryon scattering up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory
• Three-body forces and Efimov physics in nuclei and atoms
• Forward doubly-virtual Compton scattering off the nucleon in chiral perturbation theory: the subtraction function and moments of unpolarized structure functions
• Strange form factors of nucleon with nonlocal chiral effective Lagrangian
• Gluonic Lorentz violation and chiral perturbation theory
• Pion-nucleon scattering to $\mathcal{O}(p^3)$ in heavy baryon SU(3) chiral perturbation theory
• Non-derivative Axionic Couplings to Nucleons at large and small N
• Nucleon-to-Delta transition form factors in chiral effective field theory using the complex-mass scheme
• Renormalizability of leading order covariant chiral nucleon-nucleon interaction
• Baryon chiral perturbation theory with Wilson fermions up to $\mathcal{O}(a^2)$ and discretization effects of latest $n_f=2+1$ LQCD octet baryon masses
• Consistency between SU(3) and SU(2) chiral perturbation theory for the nucleon mass
• New Insights on Low Energy $\pi N$ Scattering Amplitudes: Comprehensive Analyses at $\mathcal{O}(p^3)$ Level
• One-loop renormalization of the chiral Lagrangian for spinless matter fields in the SU(N) fundamental representation
• Chiral perturbation theory - Success and challenge
• Nonperturbative two-pion exchange contributions to the nucleon-nucleon interaction in covariant baryon chiral perturbation theory
• Kaon-nucleon scattering to one-loop order in heavy baryon chiral perturbation theory
• Manifestly-covariant chiral PT calculation of nucleon Compton scattering
• Nucleon form factors and parton distributions in nonlocal chiral effective theory
• Renormalisation of the low-energy constants of chiral perturbation theory from loops with dynamical vector mesons
• Chiral extrapolation and finite-volume dependence of the hyperon vector couplings
• A new EFT approach to NN scattering problem
• Effective Field Theory in The Study of Long Range Nuclear Parity Violation on Lattice
• Complex-mass renormalization in hadronic EFT: applicability at two-loop order
• Nucleon polarizabilities in covariant baryon chiral perturbation theory with explicit $\Delta$ degrees of freedom
• Positivity constraints on the low-energy constants of the chiral pion-nucleon Lagrangian
• Finite volume corrections to forward Compton scattering off the nucleon
• Pion-nucleon scattering to order $p^4$ in SU(3) heavy baryon chiral perturbation theory
• Meson-baryon scattering in resummed baryon chiral perturbation theory using time-ordered perturbation theory
• Phase shifts of the light pseudoscalar meson and heavy meson scattering in heavy meson chiral perturbation theory
• Baryon chiral perturbation theory
• Electromagnetic transition form factors of the Roper resonance in baryon chiral perturbation theory
• Mass and width of the $\Delta (1232)$ resonance using complex-mass renormalization
• A dispersion relation for the pion-mass dependence of hadron properties
• Pion-nucleon scattering with decuplet contribution in heavy baryon SU(3) chiral perturbation theory
• Chiral effective field theories of the strong interactions
• The nucleon mass and pion-nucleon sigma term from a chiral analysis of Nf = 2+1 lattice QCD world data
• Properties of hyperons in chiral perturbation theory
• Manifestly Lorentz-Invariant Baryon Chiral Perturbation Theory
• Peripheral nucleon-nucleon scattering at next-to-next-to-leading order in SU(3) heavy baryon chiral perturbation theory
• Effective Field Theories for Neutron Stars Physics
• Relating CP-violating decays to the neutron EDM
• Electromagnetic polarizabilities of the spin-$\frac{3}{2}$ baryons in heavy baryon chiral perturbation theory
• Pion Photo- and Electroproduction and the Chiral MAID Interface
• Background field approach to electromagnetic properties of baryons
• Pion photo- and electroproduction and the chiral MAID interface
• Predictions of chiral perturbation theory for Compton scattering off protons
• Two-photon physics
• Pion photo- and electroproduction in relativistic baryon ChPT
• Effective Field Theory of the Single-Nucleon Sector
• Meson-baryon scattering lengths without annihilation diagrams to order $p^4$ in heavy baryon chiral perturbation theory
• Threshold Neutral Pion Photoproduction on the Proton
• Improved description of the pion-nucleon scattering phenomenology in covariant baryon chiral perturbation theory
• Properties of the ground-state baryons in chiral perturbation theory