Infrared regularization of baryon chiral perturbation theory reformulated

Abstract

We formulate the infrared regularization of Becher and Leutwyler in a form analogous to our recently proposed extended on-mass-shell renormalization. In our formulation, IR regularization can be applied straightforwardly to multi-loop diagrams with an arbitrary number of particles with arbitrary masses.

arXiv comment10 pages, ReVTEX 4, no figures

References in corpus (13)

• Chiral Dynamics in Nucleons and Nuclei
• Chiral perturbation theory
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Low energy analysis of the nucleon electromagnetic form factors
• Matching Heavy Particle Approach to Relativistic Theory
• Pion--Nucleon Scattering in a New Approach to Chiral Perturbation Theory
• Low energy analysis of pi N --> pi N
• Infrared regularization with spin-3/2 fields
• Power counting in baryon chiral perturbation theory including vector mesons
• Effective chiral theory of nucleon-nucleon scattering
• Is Heavy Baryon Approach Necessary?
• Effective Field Theory Dimensional Regularization
• Regularization for effective field theory with two heavy particles

Cited by in corpus (59)

• The nature of the Lambda(1405) resonance in chiral dynamics
• Chiral Perturbation Theory and Baryon Properties
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Roy-Steiner-equation analysis of pion-nucleon scattering
• 50 Years of Quantum Chromodynamics
• Hadron structure from lattice quantum chromodynamics
• Reconciling threshold and subthreshold expansions for pion-nucleon scattering
• Analyses of pion-nucleon elastic scattering amplitudes up to $O(p^4)$ in extended-on-mass-shell subtraction scheme
• Axial, induced pseudoscalar, and pion-nucleon form factors in manifestly Lorentz-invariant chiral perturbation theory
• Including the $\Delta (1232)$ resonance in baryon chiral perturbation theory
• Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances
• Meson-Baryon Effective Chiral Lagrangians to O(q^3)
• Towards grounding nuclear physics in QCD
• Electromagnetic form factors of the nucleon in chiral perturbation theory including vector mesons
• Light baryon magnetic moments and N -> Delta gamma transition in a Lorentz covariant chiral quark approach
• Semileptonic decays of the light J(P)=1/2(+) ground state baryon octet
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• Chiral Extrapolations and the Covariant Small Scale Expansion
• Baryon masses and nucleon sigma terms in manifestly Lorentz-invariant baryon chiral perturbation theory
• Complex-mass renormalization in chiral effective field theory
• Elastic pion-nucleon scattering in chiral perturbation theory: A fresh look
• The nucleon and Delta(1232) form factors at low momentum-transfer and small pion masses
• Chiral Perturbation Theory: Introduction and Recent Results in the One-Nucleon Sector
• Hadron structure at low Q^2
• Universality of the rho-meson coupling in effective field theory
• Hadron Polarizabilities
• Chiral expansion of the nucleon mass to order q^6
• Infrared renormalization of two-loop integrals and the chiral expansion of the nucleon mass
• πN scattering in relativistic baryon chiral perturbation theory revisited
• Improving the ultraviolet behavior in baryon chiral perturbation theory
• Probing the convergence of perturbative series in baryon chiral perturbation theory
• Ordinary muon capture on a proton in manifestly Lorentz invariant baryon chiral perturbation theory
• The magnetic moment of the ρ-meson
• Electromagnetic transition form factors of the Roper resonance in effective field theory
• Eft for DFT
• The magnetic moments and electromagnetic form factors of the decuplet baryons in chiral perturbation theory
• Path integral quantization for massive vector bosons
• On chiral corrections to nucleon GPD
• Chiral behavior of vector meson self energies
• Systematic study of octet-baryon electromagnetic form factors in covariant chiral perturbation theory
• Loop Corrections and Naturalness in a Chiral Effective Field Theory
• Meson-baryon effective chiral Lagrangians at order $p^4$
• Renormalization of NN Interaction with Relativistic Chiral Two Pion Exchange
• Chiral perturbation theory - Success and challenge
• Nucleon form factors and parton distributions in nonlocal chiral effective theory
• Complex-mass renormalization in hadronic EFT: applicability at two-loop order
• Chiral corrections to the vector and axial couplings of quarks and baryons
• Dependence of nucleon properties on pseudoscalar meson masses
• Baryon chiral perturbation theory
• Mass and width of the $\Delta (1232)$ resonance using complex-mass renormalization
• Manifestly Lorentz-Invariant Baryon Chiral Perturbation Theory
• Chiral effective field theories of the strong interactions
• Pion Photo- and Electroproduction and the Chiral MAID Interface
• Pion photo- and electroproduction and the chiral MAID interface
• Chiral perturbation theory
• Recent developments in effective field theory
• Recent Progress in Effective Field Theory in the One-Nucleon Sector
• Hadron masses: lattice QCD and chiral effective field theory
• Effective Field Theory of the Single-Nucleon Sector