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Pion-pion scattering amplitude obtained from one-loop Chiral Perturbation Theory (ChPT) is crossing symmetric, however the corresponding partial-wave amplitudes do not respect exact unitarity relation. There are different approaches to get…

高能物理 - 唯象学 · 物理学 2007-05-23 Isabela P. Cavalcante , J. Sá Borges

In chiral models with SU(3) group structure, strange form factors of baryon octet are evaluated by constructing their sum rules to yield theoretical predictions comparable to the recent experimental data of SAMPLE Collaboration. We also…

高能物理 - 唯象学 · 物理学 2009-11-07 Soon-Tae Hong

We rewiew and scrutinize the existing mass determinations of the pentaquarks from the exponential Laplace Sum Rules (LSR). We do not find any sum rule window for extracting optimal and reliable results from the LSR, due to the unusual slow…

高能物理 - 唯象学 · 物理学 2010-05-12 Ricardo D. Matheus , Stephan Narison

We have calculated the form-factors F and G in K ---> pi pi e nu decays (Kl4) to two-loop order in Chiral Perturbation Theory (ChPT). Combining this together with earlier two-loop calculations an updated set of values for the L's, the ChPT…

高能物理 - 唯象学 · 物理学 2009-10-31 G. Amorós , J. Bijnens , P. Talavera

We derive non-perturbative sum rules in SU($N$) lattice gauge theory at finite temperature. They relate the susceptibilities of the trace anomaly and energy-momentum tensor to temperature derivatives of the thermodynamic potentials. Two of…

高能物理 - 格点 · 物理学 2008-11-26 Harvey B. Meyer

We calculate the ratios R_{e/mu}^{(P)} = Gamma(P -> e nu)/Gamma (P -> mu nu) (P=pi,K) in Chiral Perturbation Theory to order e^2 p^4. We complement the one- and two-loop effective theory results with a matching calculation of the local…

高能物理 - 唯象学 · 物理学 2009-02-18 Vincenzo Cirigliano , Ignasi Rosell

Partial sum rules are widely used in physics to separate low- and high-energy degrees of freedom of complex dynamical systems. Their application, though, is challenged in practice by the always finite spectrometer bandwidth and is often…

其他凝聚态物理 · 物理学 2009-11-13 A. B. Kuzmenko , D. van der Marel , F. Carbone , F. Marsiglio

QCD sum rules are useful tools for studying the spectral properties of hadrons; however, assumptions underlying standard sum-rule analyses can lead to inconsistencies with known results of chiral perturbation theory. This possibility is…

高能物理 - 唯象学 · 物理学 2009-10-28 David K. Griegel , Thomas D. Cohen

Lattice sum rules are checked using lattice perturbation theory. The action sum rule gives a relation between the quark-antiquark potential, its logarithmic derivative with respect to distance and the expectation value of the action; the…

高能物理 - 格点 · 物理学 2007-05-23 B. Feuerbacher

I : Chiral Perturbation Theory is introduced and its applications to semileptonic and nonleptonic kaon decays are discussed. II: The method of large $N_c$ is used to calculate $K\to\pi\pi$ nonleptonic matrix elements, in particular the…

高能物理 - 唯象学 · 物理学 2007-05-23 Johan Bijnens

We analyze the so-called pinched weights, that are generally thought to reduce the violation of quark-hadron duality in Finite-Energy Sum Rules. After showing how this is not true in general, we explain how to address this question for the…

高能物理 - 唯象学 · 物理学 2014-11-20 Martin Gonzalez-Alonso , Antonio Pich , Joaquim Prades

We use chiral perturbation theory (ChPT) to calculate the $\pi^- d$ scattering length with an accuracy of a few percent, including isospin-violating corrections both in the two- and three-body sector. In particular, we provide the technical…

核理论 · 物理学 2011-11-22 V. Baru , C. Hanhart , M. Hoferichter , B. Kubis , A. Nogga , D. R. Phillips

We analyze the recently proposed Spectral Quark Model in the light of Chiral Perturbation Theory in curved space-time. In particular, we calculate the chiral coefficients $L_1, ..., L_{10}$, as well as the coefficients $L_{11}$, $L_{12}$,…

高能物理 - 唯象学 · 物理学 2009-11-10 E. Megias , E. Ruiz Arriola , L. L. Salcedo , W. Broniowski

We study the difficulties associated with detecting chiral singularities predicted by chiral perturbation theory (ChPT) in lattice QCD. We focus on the physics of the remnant O(2) chiral symmetry of staggered fermions in the strong coupling…

高能物理 - 格点 · 物理学 2016-09-01 Shailesh Chandrasekharan , Costas G. Strouthos

We report on dispersive and finite energy sum rule analyses of the electroweak penguin matrix elements < (pi pi) | Q_{7,8} | K > in the chiral limit. We accomplish the correct perturbative matching (scale and scheme dependence) at NLO in…

高能物理 - 唯象学 · 物理学 2009-11-07 V. Cirigliano , J. F. Donoghue , E. Golowich , K. Maltman

Several lattice collaborations performing simulations with 2+1 light dynamical quarks have experienced difficulties in fitting their data with standard Nf=3 chiral expansions at next-to-leading order, yielding low values of the quark…

高能物理 - 唯象学 · 物理学 2011-03-03 V. Bernard , S. Descotes-Genon , G. Toucas

Using the gravity side of the AdS/CFT correspondence, we investigate the analytic properties of thermal retarded Green's functions for scalars, conserved currents, the stress tensor, and massless fermions. We provide some results concerning…

高能物理 - 理论 · 物理学 2011-02-03 Daniel R. Gulotta , Christopher P. Herzog , Matthias Kaminski

We review our recent study of the pion mass dependence of the rho and sigma resonances generated from one-loop SU(2) Chiral Perturbation Theory (ChPT) with the Inverse Amplitude Method (IAM) which was modified to properly account for the…

高能物理 - 唯象学 · 物理学 2009-05-22 Guillermo Ríos , Ángel Gómez Nicola , Christoph Hanhart , José Ramón Peláez

In this article we study restoration of chiral symmetry at finite temperature for quark matter with a chiral chemical potential, $\mu_5$, by means of a quark-meson model with vacuum fluctuations included. Vacuum fluctuations give a…

高能物理 - 唯象学 · 物理学 2016-02-12 M. Ruggieri , G. X. Peng

We establish a systematic construction of the on-shell amplitude/operator basis for Chiral Perturbation Theory (ChPT) in $D=4$ spacetime dimensions and with an arbitrary number of flavors $N_f$. For kinematic factors, we employ…

高能物理 - 唯象学 · 物理学 2023-01-25 Ian Low , Jing Shu , Ming-Lei Xiao , Yu-Hui Zheng