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The main goal of this paper is to elaborate the model-framework parametrization of effective coupling constants of the extended chiral lagrangian which is suitable for the description of the low-energy matrix elements of vector,…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Andrianov , V. Andrianov , V. Yudichev

Chiral perturbation theory is a much successful effective field theory of quantum chromodynamics at low energies. The effective Lagrangian is constructed systematically order by order in powers of the momentum $p^2$, and until now the…

High Energy Physics - Phenomenology · Physics 2020-06-18 Nils Hermansson-Truedsson

We study the unknown coupling constants that appear at order $p^4$ in the Chiral Perturbation Theory analysis of $K \to \pi \gamma^* \to \pi l^+ l^-$, $K^{+-} \to \pi^{+-} \gamma \gamma$ and $K \to \pi \pi \gamma$ decays. To that end, we…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Bruno , J. Prades

In a wide class of models -- including the standard model -- flavor-changing neutral currents are suppressed by an approximate chiral symmetry of the low-energy lagrangian. This symmetry allows the derivation of general relations among…

High Energy Physics - Phenomenology · Physics 2008-02-03 David Atwood , C. P. Burgess , A. Soni

In our previous article Phys. Rev. Lett. 127 (2021) 271601, we announced a novel 'democratic' Lagrangian formulation of general nonlinear electrodynamics in four dimensions that features electric and magnetic potentials on equal footing.…

High Energy Physics - Theory · Physics 2022-08-11 Zhirayr Avetisyan , Oleg Evnin , Karapet Mkrtchyan

By matching Wilson twisted mass lattice QCD determinations of pseudoscalar meson masses to Wilson Chiral Perturbation Theory we determine the low-energy constants $W'_6$, $W'_8$ and their linear combination $c_2$. We explore the dependence…

High Energy Physics - Lattice · Physics 2015-06-15 Gregorio Herdoiza , Karl Jansen , Chris Michael , Konstantin Ottnad , Carsten Urbach

We show that a generalization of $su(2)$ Chiral Perturbation Theory, including a perturbative singlet scalar field, converges faster towards the physical value of sensible low--energy observables. The physical mass and width of the scalar…

High Energy Physics - Phenomenology · Physics 2015-06-18 L. Ametller , P. Talavera

In this talk I concentrate on the role of chiral symmetry realisation by spin-1 fields in the low energy QCD effective lagrangian. I assume that chiral symmetry is nonlinearly realised and that spin-1 fields transform homogeneously under…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Kalafatis

We review the failure of lowest order chiral $SU(3)_L \times SU(3)_R$ perturbation theory $\chi$PT$_3$ to account for amplitudes involving the $f_0(500)$ resonance and $O(m_K)$ extrapolations in momenta. We summarize our proposal to replace…

High Energy Physics - Phenomenology · Physics 2015-02-25 R. J. Crewther , Lewis C. Tunstall

The trace anomaly term in the low energy chiral Lagrangian is established by deriving a low energy theorem for $\gamma \gamma \rightarrow \pi^0\pi^0$ scattering. It contributes to $\sigma(\gamma \gamma \rightarrow \pi^0\pi^0)$ in the same…

High Energy Physics - Phenomenology · Physics 2008-02-03 Michael S. Chanowitz

A $U(2)_{L}\times U(2)_{R}$ chiral theory of pseudoscalar, vector, and axial-vector mesons has been proposed. VMD has been revealed from this theory. The physical processes of normal parity and abnormal parity have been studied by using the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Bing An Li

Using recent precise hadronic tau-decay data on the V-A spectral function and general properties of QCD such as analyticity, the operator product expansion and chiral perturbation theory, we get accurate values for the QCD chiral order…

High Energy Physics - Phenomenology · Physics 2009-04-30 Martin Gonzalez-Alonso , Antonio Pich , Joaquim Prades

We consider $\mathcal N=2$ $SU(2)$ gauge theories in four dimensions (pure or mass deformed) and discuss the properties of the simplest chiral observables in the presence of a generic $\Omega$-deformation. We compute them by equivariant…

High Energy Physics - Theory · Physics 2017-05-24 Matteo Beccaria , Alberto Fachechi , Guido Macorini

Parameters of the effective chiral lagrangian (EChL) of orders $O(p^4)$ and $O(p^6)$ are extracted from low--energy behaviour of dual resonance models for $ \pi\pi$ and $\pi K$ scattering amplitudes. Dual resonance models are considered to…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. V. Polyakov , V. V. Vereshagin

In earlier publications we have analyzed the strong and radiative decays of heavy hadrons in a formalism which incorporates both heavy-quark and chiral symmetries. In particular, we have derived a heavy-hadron chiral Lagrangian whose…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Y. Cheng , C. Y. Cheung , G. L. Lin , Y. C. Lin , T. M. Yan , H. L. Yu

The most general chiral Lagrangian for electroweak interactions with the complete set of $SU(2)_L\times U(1)_Y$ invariant operators up to dimension four is considered. The two-point and three-point functions with external gauge fields are…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. J. Herrero , E. Ruiz Morales

We investigate the $\Delta S = 1,2$ effective weak chiral Lagrangian within the framework of the chiral quark model. Starting from the effective four-quark operators, we derive the effective weak chiral action by integrating out the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Mario Franz , Hyun-Chul Kim , Klaus Goeke

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

A short overview of the current state of Chiral Perturbation Theory is given. This includes a description of the basic assumptions, the usefulness of the external field method is emphasized using a simple lowest order example. Then at…

High Energy Physics - Phenomenology · Physics 2016-09-01 Johan Bijnens

We discuss noncollinear magnetic phenomena whose local order parameter is characterized by more than one spin vector. By focusing on the simple cases of 2D triangular and 3D pyrochlore lattices, we demonstrate that their low-energy theories…

Strongly Correlated Electrons · Physics 2018-11-30 Cristian D. Batista , Mikhail Shifman , Zhentao Wang , Shang-Shun Zhang