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We calculate the finite volume corrections to meson masses and decay constants in two and three flavour Chiral Perturbation Theory to two-loop order. The analytical results are compared with the existing result for the pion mass in…

High Energy Physics - Lattice · Physics 2015-06-23 Johan Bijnens , Thomas Rössler

Anomalous quark triangles with one axial and two vector currents are studied in special kinematics when one of the vector currents carries a soft momentum. According to the Adler-Bardeen theorem the anomalous longitudinal part of the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Arkady Vainshtein

The leading order contributions of processes involving anomalous pion-photon vertices to forward spin-dependent Compton scattering from nucleons are considered in heavy-baryon chiral perturbation theory. These all involve the exchange of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Judith A. McGovern , Michael C. Birse

Within Resonance Chiral Theory and in the context of QCD current correlators at next-to-leading order in 1/N(C), we have analyzed the two-body form factors which include resonances as a final state . The short-distance constraints have been…

High Energy Physics - Phenomenology · Physics 2009-11-13 Ignasi Rosell

We calculate the one-loop contributions to the difference \Delta_{\pi K} between the isoscalar on-shell pion-kaon scattering amplitude at the Cheng-Dashen point and the scalar form factor \Gamma_K (2M_\pi^2) in the framework of three flavor…

High Energy Physics - Phenomenology · Physics 2009-01-07 Matthias Frink , Bastian Kubis , Ulf-G. Meißner

By matching 1/m^2 divergences in finite-volume two-point correlation functions of the scalar or pseudoscalar densities with those obtained in chiral perturbation theory, we derive a relation between the Dirac operator zero-mode…

High Energy Physics - Lattice · Physics 2009-11-10 L. Giusti , P. Hernandez , M. Laine , P. Weisz , H. Wittig

Recently obtained results for two and three point functions for quasi-primary operators in conformally invariant theories in arbitrary dimensions {\absit d} are described. As a consequence the three point function for the energy momentum…

High Energy Physics - Theory · Physics 2007-05-23 H. Osborn

The saturation of QCD chiral sum rules of the Weinberg-type is analyzed using ALEPH and OPAL experimental data on the difference between vector and axial-vector correlators (V-A). The sum rules exhibit poor saturation up to current energies…

High Energy Physics - Phenomenology · Physics 2009-11-10 C. A. Dominguez , K. Schilcher

We study the classical and quantum perturbation theory for two non--resonant oscillators coupled by a nonlinear quartic interaction. In particular we analyze the question of quantum corrections to the torus quantization of the classical…

Quantum Physics · Physics 2007-05-23 Luca Salasnich

After a short status report on chiral perturbation theory, I review recent progress in determining some of the low-energy couplings by matching the effective theory to QCD. Consequences for K_{l3} decays and for the extraction of the CKM…

High Energy Physics - Phenomenology · Physics 2009-11-11 G. Ecker

We compute the two-loop corrections to the helicity amplitudes for the coupling of a massive vector boson to a massless quark-antiquark pair and a gluon, accounting for vector and axial-vector couplings of the vector boson and…

High Energy Physics - Phenomenology · Physics 2023-06-19 Thomas Gehrmann , Tiziano Peraro , Lorenzo Tancredi

We review experimental tests of three-flavor (u,d,s) chiral perturbation theory (ChPT). These include measurements of pion and kaon polarizabilities, the chiral anomaly amplitudes for processes such as $\gamma \rightarrow \pi\pi\pi$,…

High Energy Physics - Phenomenology · Physics 2025-11-20 Murray Moinester

We discuss chiral perturbation theory for two and three quark flavors in the epsilon expansion at next-to-next-to-leading order (NNLO) including a small imaginary chemical potential. We calculate finite-volume corrections to the low-energy…

High Energy Physics - Lattice · Physics 2014-11-20 Christoph Lehner , Shoji Hashimoto , Tilo Wettig

We compute one of the second order transport coefficients arising from the chiral anomaly in a high temperature weakly coupled regime of quark-gluon plasma. This transport coefficient is responsible for the CP-odd current that is…

High Energy Physics - Phenomenology · Physics 2015-07-29 Amadeo Jimenez-Alba , Ho-Ung Yee

Using the resonance chiral theory Lagrangian, we perform a calculation of the vector and axial-vector two-point functions at the next-to-leading order (NLO) in the 1/N(C) expansion. We have analyzed these correlators within the…

High Energy Physics - Phenomenology · Physics 2009-01-06 A. Pich , I. Rosell , J. J. Sanz-Cillero

Chiral perturbation theory in the anomaly sector for $N_f=2$ is extended to include dynamical photons, thereby allowing a complete treatment of isospin breaking. A minimal set of independent chiral lagrangian terms is determined and the…

High Energy Physics - Phenomenology · Physics 2014-11-17 B. Ananthanarayan , B. Moussallam

Theories with generalised conformal structure contain a dimensionful parameter, which appears as an overall multiplicative factor in the action. Examples of such theories are gauge theories coupled to massless scalars and fermions with…

High Energy Physics - Theory · Physics 2021-03-17 Claudio Corianò , Luigi Delle Rose , Kostas Skenderis

In the second part of this series we apply the ``string-inspired'' technique to the calculation of one-loop amplitudes involving both vectors and axialvectors, as well as a general constant electromagnetic background field. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 Christian Schubert

The general framework and the present status of the low energy theory of the standard model are briefly reviewed. Recent applications to a few topic of interest for the determinations of Vud and of Vus are discussed

High Energy Physics - Phenomenology · Physics 2007-05-23 Marc Knecht

To assist the matching of lattice field theory results to the high energy continuum limit we evaluate the Green's function where the tensor quark bilinear operator is inserted at zero momentum in a quark $2$-point function for an arbitrary…

High Energy Physics - Phenomenology · Physics 2022-09-01 J. A. Gracey