Full pseudoscalar mesonic chiral Lagrangian at p6 order under the unitary group

Abstract

We construct the full p6 order chiral Lagrangians for the unitary group and special unitary groups, including nf-, three- and two-flavor cases, all bilinear currents (scalar, pseudoscalar, vector, axial-vector and tensor currents) and theta parameter. The number of independent operators are 1391, 1326 and 969 for each of the flavor unitary groups. From these results, we find one extra linear relation among the traditional p4 order low-energy constants under the U(3) group, and some more linear relations with tensor sources for the p6 order low-energy constants in the special unitary groups. We develop a scheme to obtain the relations for the dependent operators in terms of independent operators.

23 pages

References in corpus (38)

• Large N_c in chiral perturbation theory
• The Mesonic Chiral Lagrangian of Order $p^6$
• On the 1/N expansion in chiral perturbation theory
• Elastic $\pi \pi$ scattering to two loops
• Photon Distribution Amplitudes in QCD
• Renormalization of chiral perturbation theory to order p^6
• $\pi \pi$ Scattering in Three Flavour ChPT
• Extension of the Chiral Perturbation Theory Meson Lagrangian to Order $P^6$
• The Electroweak Chiral Lagrangian and New Precision Measurements
• Chiral Effective Lagrangian in the large-Nc limit: the nonet case
• Two-point Functions at Two Loops in Three Flavour Chiral Perturbation Theory
• Chiral Perturbation Theory Beyond One Loop
• $\eta \to 3\pi$ at Two Loops In Chiral Perturbation Theory
• The anomalous chiral Lagrangian of order $p^6$
• Virtual photons in SU(2) chiral perturbation theory and electromagnetic corrections to $\pi \pi$ scattering
• Bounds on the light quark masses
• Form Factors in the radiative pion decay
• The anomalous chiral perturbation theory meson Lagrangian to order $p^6$ revisited
• The Electromagnetic Interaction in Chiral Perturbation Theory
• $\pi K$ Scattering in Three Flavour ChPT
• Chiral Perturbation Theory with tensor sources
• Baryon electric dipole moments from strong CP violation
• eta-eta' mixing from U_L(3) x U_R(3) Chiral Perturbation Theory
• The electric dipole moment of the neutron in chiral perturbation theory
• Field Transformations and the Classical Equation of Motion in Chiral Perturbation Theory
• Electromagnetic transitions in an effective chiral Lagrangian with the eta-prime and light vector mesons
• Phenomenological evidence for the energy dependence of the $\eta -{\eta }^{\prime }$ mixing angle
• Eta-eta' masses and mixing: a large N_c reappraisal
• Scalar Form Factors in SU(3) Chiral Perturbation Theory
• The Electroweak Chiral Lagrangian and CP-Violating Effects in Technicolor Theories
• Study of η-η' mixing from radiative decay processes
• Eta-eta' mixing in U(3) chiral perturbation theory
• U(3) chiral perturbation theory with infrared regularization
• Computation of the p6 order chiral Lagrangian coefficients from the underlying theory of QCD
• Computation of the coefficients for $p^6$ order anomalous chiral Lagrangian
• Computation of the $p^6$ order low-energy constants with tensor sources
• Matching of U_L(3) x U_R(3) and SU_L(3) x SU_R(3) Chiral Perturbation Theories
• A nondiagrammatic calculation of the Rho parameter from heavy fermions

Cited by in corpus (11)

• $\eta$-${\eta }^{\prime }$ Mixing in Large-$N_c$ Chiral Perturbation Theory
• Meson-baryon effective chiral Lagrangians at order $p^4$
• Chiral Lagrangians for mesons with a single heavy quark
• Connected, Disconnected and Strange Quark Contributions to HVP
• Two-photon decays and transition form factors of ${\pi }^0$, $\eta$, and ${\eta }^{\prime }$ in large-$N_c$ chiral perturbation theory
• Chiral Lagrangians with $\Delta (1232)$ to one loop
• Chiral Lagrangians with decuplet baryons to one loop
• Relations for low-energy coupling constants in baryon chiral perturbation theory derived from the chiral quark model
• $\eta$-${\eta }^{\prime }$ mixing in large-$N_c$ chiral perturbation theory: discussion, phenomenology, and prospects
• Chiral Lagrangians for singly heavy baryons to $\mathcal{O}(p^4)$ order
• Chiral Lagrangians for spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ doubly charmed baryons