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We derive model-independent constraints on four-fermion contact interaction-type dynamics from the published preliminary LEP2 experimental data on e^+e^- annihilation into \mu^+\mu^- and \tau^+\tau^- pairs, measured at different energies…

High Energy Physics - Phenomenology · Physics 2009-01-07 A. A. Babich , G. Della Ricca , J. Holt , P. Osland , A. A. Pankov , N. Paver

We present a chiral-invariant meson-baryon Lagrangian which describes the interactions of the baryon octet with the lowest-mass meson nonets. The nonlinear realization of the chiral symmetry generates pair-meson interaction vertices. The…

Nuclear Theory · Physics 2016-09-08 V. G. J. Stoks , Th. A. Rijken

We examine "dynamical similarities" in the Lagrangian framework. These are symmetries of an intrinsically determined physical system under which observables remain unaffected, but the extraneous information is changed. We establish three…

General Relativity and Quantum Cosmology · Physics 2018-07-04 David Sloan

We analyze parity-violating nucleon-nucleon scattering at energies E<m_\pi^2/M using the effective field theory appropriate for this regime. The minimal Lagrangian for short-range parity-violating NN interactions is written in an operator…

Nuclear Theory · Physics 2009-05-13 Daniel R. Phillips , Matthias R. Schindler , Roxanne P. Springer

A method to find relations between the operators in the mesonic Lagrangian of Chiral Perturbation Theory at order p^6 is presented. The procedure can be used to establish if the basis of operators in the Lagrangian is minimal. As an…

High Energy Physics - Phenomenology · Physics 2015-10-21 Pedro Ruiz-Femenia , Mehran Zahiri-Abyaneh

A recently proposed covariant chiral effective field theory approach is applied to study strangeness $S=-1$ hyperon-nucleon interactions at leading order. 12 low energy constants are introduced by Lorentz invariance, which is different from…

Nuclear Theory · Physics 2017-03-14 Kai-Wen Li , Xiu-Lei Ren , Li-Sheng Geng , Bingwei Long

$\bar{K}$-nucleon interactions are investigated in the framework of coupled-channels dynamics based on the next-to-leading order chiral SU(3) meson-baryon effective Lagrangian. A recent determination of the 1s shift and width of kaonic…

Nuclear Theory · Physics 2015-06-04 Yoichi Ikeda , Tetsuo Hyodo , Wolfram Weise

We extend our formulation of relativistic three-nucleon Faddeev equations to include both pairwise interactions and a three-nucleon force. Exact Poincare invariance is realized by adding interactions to the mass Casimir operator (rest…

Nuclear Theory · Physics 2015-03-17 H. Witala , J. Golak , R. Skibinski , W. Glockle , H. Kamada , W. N. Polyzou

Anomalous interactions involving the top quark contribute to some of the most difficult observables to directly access experimentally. They can give however a sizeable correction to very precisely measured observables at the loop level.…

High Energy Physics - Phenomenology · Physics 2015-11-18 Jorge de Blas , Mikael Chala , Jose Santiago

We derive a set of easy rules to follow when estimating the coefficients of operators in an effective Lagrangian. In particular, we emphasize how to estimate the size of coefficients originating from irrelevant interactions in the…

High Energy Physics - Phenomenology · Physics 2011-05-17 Matti Antola , Kimmo Tuominen

The contributions of non-standard four-neutrino contact interactions to electroweak observables are considered at the one-loop level by using the effective quantum field theory. The analysis is done in terms of three unknown parameters: the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Mikhail Bilenky , Arcadi Santamaria

We introduced some contact potentials that can be written as a linear combination of the Dirac delta and its first derivative, the $\delta$-$\delta'$ interaction. After a simple general presentation in one dimension, we briefly discuss a…

We qualify a relevant range of fractional powers of the so-called Hamiltonian of point interaction in three dimensions, namely the singular perturbation of the negative Laplacian with a contact interaction supported at the origin. In…

Functional Analysis · Mathematics 2017-10-17 Vladimir Georgiev , Alessandro Michelangeli , Raffaele Scandone

We derive the form of the cross-Kerr interaction in a four-level atomic system in the N-configuration. We use time-independent perturbation theory to calculate the eigenenergies and eigenstates of the Schrodinger equation for the system.…

Quantum Physics · Physics 2009-11-13 Gary F. Sinclair , Natalia Korolkova

We derive a class of cubic interaction vertices for three higher spin fields, with integer spins $\lambda_1$, $\lambda_2$, $\lambda_3$, by closing commutators of the Poincar\'e algebra in four-dimensional flat spacetime. We find that these…

High Energy Physics - Theory · Physics 2014-08-29 Y. S. Akshay , Sudarshan Ananth

Using effective-lagrangian techniques we perform a systematic survey of the lowest-dimension effective interactions through which heavy physics might manifest itself in present experiments. We do not restrict ourselves to special classes of…

High Energy Physics - Phenomenology · Physics 2009-10-22 C. P. Burgess , S. Godfrey , H. König , D. London , I. Maksymyk

We study the two-dimensional Dirac operator with an arbitrary combination of electrostatic and Lorentz scalar $\delta$-interactions of constant strengths supported on a smooth closed curve. For any combination of the coupling constants a…

Analysis of PDEs · Mathematics 2020-07-21 Jussi Behrndt , Markus Holzmann , Thomas Ourmières-Bonafos , Konstantin Pankrashkin

We study the dynamics of the three-dimensional polaron - a quantum particle coupled to bosonic fields - in the quasi-classical regime. In this case the fields are very intense and the corresponding degrees of freedom can be treated…

Mathematical Physics · Physics 2021-08-27 R. Carlone , M. Correggi , M. Falconi , M. Olivieri

A chiral invariant effective Lagrangian may be used to calculate the three-body interactions among low-energy pions and nucleons in terms of known parameters. This method is illustrated by the calculation of the pion-nucleus scattering…

High Energy Physics - Phenomenology · Physics 2009-10-22 Steven Weinberg

We construct the free Lagrangian of the magnetic sector of Carrollian electrodynamics. The construction relies on Helmholtz integrability condition for differential equations in a self consistent algorithm, working hand in hand with…

High Energy Physics - Theory · Physics 2021-05-12 Kinjal Banerjee , Rudranil Basu , Aditya Mehra , Akhila Mohan , Aditya Sharma