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We use the Vector formulation to evaluate vector and axial-vector exchange contributions to the O(p^4) weak Chiral Lagrangian. We recover in this framework the bulk of the contributions found previously by Ecker et al. in the antisymmetric…

High Energy Physics - Phenomenology · Physics 2009-10-30 Giancarlo D'Ambrosio , Jorge Portoles

The branching fractions of the decays $\tau \to a_{1} \pi \nu_\tau$, $\tau \to K_{1} \pi \nu_\tau$ and $\tau \to K_{1} K \nu_\tau$ are calculated in the framework of the extended $U(3)\times U(3)$ chiral Nambu--Jona-Lasinio model. There are…

High Energy Physics - Phenomenology · Physics 2022-09-07 Mikhail K. Volkov , Aleksey A. Pivovarov , Kanat Nurlan

We study the $K \to 2 \pi$ decays using the $U_L(3) \times U_R(3)$ version of the Nambu-Jona-Lasinio model with the effective $\Delta S = 1$ nonleptonic weak interaction. The $\Delta I = {3/2}$ amplitude is in reasonable agreement with…

High Energy Physics - Phenomenology · Physics 2009-09-25 M. Takizawa , T. Inoue , M. Oka

The transition amplitude for $\pi K$ scattering is evaluated within the SU(3) Nambu--Jona-Lasinio model. Ordering terms according to the expansion in $1/N_c$ leads to a box-like diagram, $t$ channel diagrams that admit scalar isoscalar…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Piwnicki , S. P. Klevansky , P. Rehberg

The decay $\tau\to \pi\pi\pi\nu$ is analysed using different methods to account for the resonance structure, which is usually ascribed to the a1. One scenario is based on the recently developed techniques to generate axial-vector resonances…

High Energy Physics - Phenomenology · Physics 2009-01-09 Markus Wagner , Stefan Leupold

A non-dissipative model for vortex motion in thin superconductors is considered. The Lagrangian is a Galilean invariant version of the Ginzburg--Landau model for time-dependent fields, with kinetic terms linear in the first time derivatives…

High Energy Physics - Theory · Physics 2009-10-30 N. S. Manton

The exclusive production of \pi\pi and \pi\rho in hard \gamma^{\star}\gamma scattering in the forward kinematical region where the virtual photon is highly off-shell are studied through the \gamma\to\pi^- Transition Distribution Amplitudes.…

High Energy Physics - Phenomenology · Physics 2009-03-31 A. Courtoy , S. Noguera

The theoretical calculation for pseudo--scalars hadronic decays $K \to \pi a$ is reviewed. %with the Axion-Like-Particle escaping the detection, While one-loop penguin contributions are usually considered, tree-level processes have most…

High Energy Physics - Phenomenology · Physics 2021-06-11 Alfredo Walter Mario Guerrera , Stefano Rigolin

We derive an estimate for the ratio of the rho mass and the pion decay constant from an analysis of vector and axial-vector two-point functions using large-Nc, lowest-meson dominance and the operator product expansion, in the chiral limit.…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Golterman , S. Peris

Starting from a relativistic formulation of the pion-nucleon-delta system, the most general structure of 1/M corrections for a heavy baryon chiral lagrangian including spin 3/2 resonances is given. The heavy components of relativistic…

High Energy Physics - Phenomenology · Physics 2009-10-28 Thomas R. Hemmert , Barry R. Holstein , Joachim Kambor

The energy-, density-, and isospin-dependent $\Delta$-formation cross section $\sigma_{N\pi \rightarrow \Delta}^*$ and $\Delta$-decay width are calculated based on the relativistic BUU approach in which the effective mass splitting of…

Nuclear Theory · Physics 2021-08-09 Qingfeng Li , Zhuxia Li

The polarization effects of the processes $\tau \rightarrow K^{-} \pi^{0} \nu_{\tau}$ are described in the framework of the Nambu--Jona-Lasinio model. The intermediate vector meson $K^{*}(892)$ is taken into account. The contribution of…

High Energy Physics - Phenomenology · Physics 2016-11-23 A. A. Pivovarov , O. V. Teryaev

We calculate within the Extended Nambu--Jona-Lasinio model the leading in $1/N_c$ contribution to $\gamma\gamma\to\pi^0\pi^0$ to all orders in the external momenta and quark masses. This result is then combined with the known two-loop…

High Energy Physics - Phenomenology · Physics 2009-10-28 Johan Bijnens , Ansar Fayyazuddin , Joaquim Prades

Usual treatment of the Nambu--Jona-Lasinio (NJL) model using loop momentum cutoff suffers from ambiguities in choosing the loop momenta to be cut off and violation of (external) gauge invariance. We define the NJL model from the starting…

High Energy Physics - Phenomenology · Physics 2009-10-28 Takashi HAMAZAKI , Taichiro KUGO

We discuss the construction of the two-flavour axion-pion effective Lagrangian at the next-to-leading order (NLO) in chiral perturbation theory and present, as a phenomenological application, the calculation of the decay rate of a GeV-scale…

High Energy Physics - Phenomenology · Physics 2023-04-19 Luca Di Luzio , Gioacchino Piazza

It is found that in presence of electroweak interactions the gauge covariant diagonalization of the axial-vector -- pseudoscalar mixing in the effective meson Lagrangian leads to a deviation from the vector meson and the axial-vector meson…

High Energy Physics - Phenomenology · Physics 2018-12-26 A. A. Osipov , B. Hiller , P. M. Zhang

We calculate the momentum dependence of three particle vertices $\sigma \gamma \gamma$, $\sigma \rho \gamma$ and $\sigma \rho \rho$ in the context of a Nambu Jona Lasinio type model. We show how they influence the processes $\gamma \gamma…

High Energy Physics - Phenomenology · Physics 2015-06-25 B. Bajc , A. H. Blin , B. Hiller , M. C. Nemes , M. Rosina

We present the results of our lattice QCD study of the $\pi\gamma\to\pi\pi$ process, where the $\rho$ resonance appears as an enhancement in the transition amplitude. We use $N_f=2+1$ clover fermions on a lattice of $L=3.6$ fm and a pion…

The subject of this work is the analysis of hadronic decays of the exotic meson $\pi_{1}$ in a fully relativistic formalism, and comparison with the nonrelativistic results. The relativistic spin wave functions of mesons and hybrids are…

High Energy Physics - Phenomenology · Physics 2009-11-11 Nikodem J. Poplawski

The momentum-space bosonization method is extended to the case of a Nambu--Jona-Lasinio type model with vector and axial-vector mesons. The method presented gives the possibility of deriving any meson vertex function to all orders in…

High Energy Physics - Phenomenology · Physics 2016-08-16 Véronique Bernard , Ulf-G. Meißner , A. A. Osipov