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Related papers: A rational approximation to <VV-AA> and its O(p^6)…

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We report on the computation of the scaling of QCD observables with the number of colours, $N_c$. For this, we use dynamical configurations with four active flavours, $N_f=4$, and values of $N_c=3-6$. We study the meson masses and decay…

High Energy Physics - Lattice · Physics 2019-10-24 Fernando Romero-López , Andrea Donini , Pilar Hernández , Carlos Pena

We provide first-principles non-perturbative determinations of the low-lying meson mass spectrum of large-$N$ QCD in the 't Hooft limit $N_{\scriptscriptstyle{\rm f}}/N\to 0$, as well as of three low-energy constants appearing in the QCD…

High Energy Physics - Lattice · Physics 2025-12-10 Claudio Bonanno , Margarita García Pérez , Antonio González-Arroyo , Ken-Ichi Ishikawa , Masanori Okawa

We show how, starting from QCD Lagrangian, a low-energy limit can be derived that is given by a non-local Nambu-Jona-Lasinio model with the form factor in close agreement with the one expected from an instanton liquid model but with all the…

High Energy Physics - Phenomenology · Physics 2012-11-14 Marco Frasca

Continuing our previous work(JHEP 0706:030,2007), large--$N_C$ techniques and partial wave dispersion relations are used to discuss $\pi\pi$ scattering amplitudes. We get a set of predictions for $O(p^6)$ low-energy chiral perturbation…

High Energy Physics - Phenomenology · Physics 2008-11-26 Z. H. Guo , J. J. Sanz-Cillero , H. Q. Zheng

Chiral perturbation theory is the effective field theory of the Standard Model at low energies. After a short introduction and overview, I discuss three topics where the chiral approach leads to a deeper understanding of low-energy hadron…

High Energy Physics - Phenomenology · Physics 2015-06-17 Gerhard Ecker

The quark model symmetry can be adopted to establish relations between the low-energy constants (LECs) in the baryon chiral perturbation theory ($\chi PT$) if one assumes that a baryon-baryon-meson coupling is described equivalently by a…

High Energy Physics - Phenomenology · Physics 2022-10-07 Jun Jiang , Shao-Zhou Jiang , Shi-Yuan Li , Yan-Rui Liu , Zong-Guo Si , Hong-Qian Wang

We consider effective theory treatment for the lowest-lying $S$- and $P$-wave states of charmed mesons. In our analysis, quantum corrections and contributions from leading chiral and heavy quark symmetry breakings are taken into account.…

High Energy Physics - Phenomenology · Physics 2018-07-24 Mohammad H. Alhakami

We apply chiral perturbation theory to the pseudoscalar meson mass and decay constant data obtained in the PACS-CS Project toward 2+1 flavor lattice QCD simulations with the O(a)-improved Wilson quarks. We examine the existence of chiral…

We compute the leading-order low-energy constants of the DeltaS=1 effective weak Hamiltonian in the quenched approximation of QCD with up, down, strange, and charm quarks degenerate and light. They are extracted by comparing the predictions…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. Giusti , P. Hernandez , M. Laine , C. Pena , J. Wennekers , H. Wittig

We construct the effective chiral Lagrangian for chiral perturbation theory in the mesonic odd-intrinsic-parity sector at order $p^6$. The Lagrangian contains 24 in principle measurable terms and no contact terms for the general case of…

High Energy Physics - Phenomenology · Physics 2011-09-13 J. Bijnens , L. Girlanda , P. Talavera

A covariant Lagrangian formulation of a solution to the cosmological constant problem, based on vizualising the fluctuations of the vacuum energy as a non-equilibrium process with stochastic behaviour, is presented. The variational…

Astrophysics · Physics 2016-08-30 J. W. Moffat

It is proposed to compute matrix elements for the (unphysical) $K^0\pi^-\to \pi^-$ transition to determine the next-to-leading order low energy constants of the weak chiral Lagrangian. This allows us to evaluate $K\to(\pi\pi)_{I=0}$ decay…

High Energy Physics - Lattice · Physics 2009-10-09 Changhoan Kim , Christopher Sachrajda

Using a chiral random matrix theory we can now derive the low energy partition functions and Dirac eigenvalue correlations of QCD with different chemical potentials for the dynamical and valence quarks. The results can also be extended to…

High Energy Physics - Lattice · Physics 2008-11-26 James C. Osborn

The anomalous <VVP> Green function and related form-factors (pi^0 to gamma^* gamma^* and tau^- to X^- nu_tau vector form-factors, with X^-=(KKpi)^-, phi^- gamma, (phi V)^-) are analyzed in this letter in the large-N_C limit. Within the…

High Energy Physics - Phenomenology · Physics 2014-05-02 Pablo Roig , Juan José Sanz Cillero

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 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

In this work, extending a previous study at zero temperature ($T=0$), we perform a systematic study of the modifications to the QCD vacuum energy density $\epsilon_{vac}$ in the finite-temperature case, above the chiral transition at $T_c$,…

High Energy Physics - Phenomenology · Physics 2019-06-18 Enrico Meggiolaro

The $\eta \to 3\pi$ decays are a valuable source of information on low energy QCD. Yet they were not used for an extraction of the three flavor chiral symmetry breaking order parameters until now. We use a Bayesian approach in the framework…

High Energy Physics - Phenomenology · Physics 2018-04-18 Marian Kolesar , Jiri Novotny

By means of a coupled channel non-perturbative unitary approach, it is possible to extend the strong constrains of Chiral Perturbation Theory to higher energies. In particular, it is possible to reproduce the lowest lying resonances in…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. R. Pelaez , J. A. Oller , E. Oset

We investigate the $\Delta S=0$ effective chiral Lagrangian from the instanton vacuum. Based on the $\Delta S=0$ effective weak Hamiltonian from the operator product expansion and renormalization group equations, we derive the…

High Energy Physics - Phenomenology · Physics 2009-01-07 H-J. Lee , C. H. Hyun , C. -H. Lee , H. -Ch. Kim