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Related papers: The order $p^8$ mesonic chiral Lagrangian

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We discuss meson-meson scattering at next-to-next-to-leading order in the chiral expansion for QCD-like theories with general $n$ degenerate flavours for the cases with a complex, real and pseudo-real representation. I.e. with global…

High Energy Physics - Phenomenology · Physics 2011-03-14 Johan Bijnens , Jie Lu

We apply the approximating chiral quark model. This chiral quark model is based on an effective Lagrangian which the interactions between quarks via sigma and pions mesons. The field equations have been solved in the mean field…

High Energy Physics - Phenomenology · Physics 2012-12-13 M. Abu-Shady

In pure chiral perturbation theory (ChPT) the couplings of higher order Lagrangian terms are running parameters and hence can be determined only empirically from various low-energy hadronic processes. While this scenario works well for…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hai-Yang Cheng

We present a diagrammatic analysis of baryons in the $1/N$ expansion, where $N$ is the number of QCD colors. We use this method to show that there are an infinite number of degenerate baryon states in the large-$N$ limit. We also show that…

High Energy Physics - Phenomenology · Physics 2009-10-22 Markus A. Luty , John March-Russell

I give a very short introduction to Chiral Perturbation Theory and an overview of the next-to-next-to-leading order three-flavour calculations done. I discuss those relevant for an improvement in the accuracy of the measurement of $V_{us}$…

High Energy Physics - Phenomenology · Physics 2010-11-23 Johan Bijnens

We call attention to a class of current-quark mass dependent multi-quark interaction terms which break explicitly the chiral $SU(3)_L\times SU(3)_R$ and $U_A(1)$ symmetries. They complete the set of effective quark interactions that…

High Energy Physics - Phenomenology · Physics 2013-09-23 A. A. Osipov , B. Hiller , A. H. Blin

The manifestations of the $\omega \to 3\pi$ contact term and its unitary partners are investigated in the framework of the chiral effective lagrangian theory with vector mesons. We conclude that nowadays the existence and magnitude of the…

High Energy Physics - Phenomenology · Physics 2019-08-15 E. A. Kuraev , Z. K. Silagadze

A momentum-dependent formulation based on a stationary spin-0 and isospin-1 dibaryon field is proposed to improve convergence of chiral effective field theory in the $\cs{1}{0}$ channel of $NN$ scattering. Although the two-parameter…

Nuclear Theory · Physics 2022-05-16 Rui Peng , Songlin Lyu , Sebastian König , Bingwei Long

The coupling constants of the order $p^2$ low-energy weak effective lagrangian can be determined from the $K\to\pi$ and $K\to 0$ weak matrix elements, choosing degenerate quark masses for the first of these. However, for typical values of…

High Energy Physics - Lattice · Physics 2009-10-31 Maarten Golterman , Elisabetta Pallante

We consider the electroweak chiral Lagrangian, including a light scalar boson, in the limit of small $\xi=v^2/f^2$. Here $v$ is the electroweak scale and $f$ is the corresponding scale of the new strong dynamics. We show how the…

High Energy Physics - Phenomenology · Physics 2015-06-23 Gerhard Buchalla , Oscar Cata , Claudius Krause

We derive the mixed as well as unmixed lattice heavy meson chiral Lagrangian up to order O(a^2), with Wilson and Ginsparg-Wilson fermions. We consider two flavor partially quenched QCD and calculate vector meson mass corrections up to order…

High Energy Physics - Lattice · Physics 2010-02-17 Hovhannes R. Grigoryan , Anthony W. Thomas

We calculate the impact of the complete set of two-pion exchange contributions at chiral order four (also known as next-to-next-to-next-to-leading order, N3LO) on peripheral partial waves of nucleon-nucleon scattering. Our calculations are…

Nuclear Theory · Physics 2009-11-07 D. R. Entem , R. Machleidt

The nature of the QCD phase transition in the chiral limit presents a challenging problem for lattice QCD. However, its study provides constraints on the phase diagram at the physical point. In this work, we investigate how the order of the…

High Energy Physics - Lattice · Physics 2025-03-11 Jan Philipp Klinger , Reinhold Kaiser , Owe Philipsen

We use recent experimental data on charmed mesons to constrain three coupling constants in the effective lagrangian describing the interactions of excited heavy-light mesons with light pseudoscalar mesons at order $m_Q^{-1}$. Predictions in…

High Energy Physics - Phenomenology · Physics 2009-11-11 P. Colangelo , F. De Fazio , R. Ferrandes

Heavy baryon chiral perturbation theory for pentaquarks is applied beyond leading order. The mass splitting in the pentaquark anti-decuplet is calculated up to NNLO. An expansion in the coupling of pentaquarks to non-exotic baryons…

High Energy Physics - Phenomenology · Physics 2009-11-10 Vivek Mohta

In this work, we construct the chiral Lagrangian for a light spin-1 boson $X$ possessing both vectorial and axial couplings to the light Standard Model quarks $u, d, s$. We then use it in order to describe the tree-level, model-independent…

High Energy Physics - Phenomenology · Physics 2024-01-11 Luca Di Luzio , Gabriele Levati , Paride Paradisi , Xavier Ponce Díaz

We study QCD with two colors and quarks in the fundamental representation at finite baryon density in the limit of light quark masses. In this limit the free energy of this theory reduces to the free energy of a chiral Lagrangian which is…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Splittorff , D. Toublan , J. J. M. Verbaarschot

We calculate the next-to-next-to-leading order ${\cal O}(\alpha_s^4)$ one-loop squared corrections to the production of heavy quark pairs in quark-antiquark annihilations. These are part of the next-to-next-to-leading order ${\cal…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. G. Körner , Z. Merebashvili , M. Rogal

Explicit chiral symmetry breaking is a natural feature of many QCD inspired models with multi-quark interactions. To carry out the 1/N expansion of these theories, one integrates over the quark fields. In the process of calculating the…

High Energy Physics - Theory · Physics 2007-08-23 Alexander A. Osipov , Brigitte Hiller , Alex H. Blin

We consider flavor breaking in the the octet and decuplet baryon masses at second order in large-$N$ chiral perturbation theory, where $N$ is the number of QCD colors. We assume that $1/N \sim 1/N_F \sim m_s / \Lambda \gg m_{u,d}/\Lambda,…

High Energy Physics - Phenomenology · Physics 2014-11-17 Paulo F. Bedaque , Markus A. Luty