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Related papers: The anomalous chiral Lagrangian at order $p^8$

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We study three flavour chiral perturbation theory in a limit where the strange quark mass is much larger than the external momenta and the up and down quark masses, and where the external fields are those of two-flavour chiral perturbation…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jurg Gasser , Christoph Haefeli , Mikhail A. Ivanov , Martin Schmid

We compute the polarisability of the nucleon to leading order in chiral perturbation theory. The contributions from kaons and baryon resonances as intermediate states are included in addition to the contribution from pions and nucleons that…

High Energy Physics - Phenomenology · Physics 2009-10-22 Malcolm N. Butler , Martin J. Savage

We construct an effective Lagrangian for low energy hadronic interactions through an infinite expansion in inverse powers of the low energy cutoff $\Lambda_\chi$ of all possible chiral invariant non-renormalizable interactions between…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Pallante , R. Petronzio

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 $L_{11}$, $L_{12}$,…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. Megias , E. Ruiz Arriola , L. L. Salcedo , W. Broniowski

The anomalous dimensions of four-quark operators $(\bar q_i q_j)_{V-A} (\bar q_k q_l)_{V-A}$ are calculated in the large $N_f$ limit. As expected, the result is a convergent series without renormalon ambiguities. Using the approximation of…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. Pott

We study the chiral logarithms in $\Delta S=1$ kaon decay amplitudes from new flavor physics in beyond-standard-model theories. We systematically classify the chiral structures of dimension-5, 6 and 7 effective QCD operators constructed out…

High Energy Physics - Phenomenology · Physics 2010-04-23 Panying Chen , Hongwei Ke , Xiangdong Ji

Using the method of asymptotic sum rules we estimated the size of $O(m_s p_\pi^4)$ and $O(m_s^2 p_\pi^2)$ corrections to $\pi K$ scattering amplitude in large $N_c$ limit. These corrections arise from the sixth order effective chiral…

High Energy Physics - Phenomenology · Physics 2016-09-01 A. A. Bolokhov , A. N. Manashov , M. V. Polyakov , V. V. Vereshagin

Strong-interaction physics that lies beyond the standard model may conveniently be described by an effective Lagrangian. The only genuinely gluonic CP-conserving term at dimension six is the three-gluon-field-strength operator $G^3$. This…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. H. Simmons , P. Cho

We study the masses of the low-lying charmed mesons within the framework of heavy-hadron chiral perturbation theory. We work to third order in the chiral expansion, where meson loops contribute. In contrast to previous approaches, we use…

High Energy Physics - Phenomenology · Physics 2016-07-14 Mohammad H. Alhakami

We calculate the coefficients in the chiral Lagrangian approximately from QCD based on a previous study of deriving the chiral Lagrangian from the first principles of QCD in which the chiral Lagrangian coefficients are defined in terms of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hua Yang , Qing Wang , Yu-Ping Kuang , Qin Lu

We study taste and Euclidean rotational symmetry violation for staggered fermions at nonzero lattice spacing using staggered chiral perturbation theory. We extend the staggered chiral Lagrangian to O(a^2 p^2), O(a^4) and O(a^2 m), the…

High Energy Physics - Lattice · Physics 2010-11-19 Stephen R. Sharpe , Ruth S. Van de Water

We compare the linear meson model and chiral perturbation theory in next to leading order in the quark mass expansion. In particular, we compute the couplings L_4--L_8 of chiral perturbation theory as functions of the parameters of the…

High Energy Physics - Phenomenology · Physics 2011-09-13 Dirk-U. Jungnickel , C. Wetterich

A large class of polarized and unpolarized deep inelastic data is successfully described with Fermi-Dirac functions for the non-diffractive part of quark parton distributions. The NLO approach used here improves the agreement with…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Buccella , O. Pisanti , L. Rosa

We consider the parity-invariant Dirac operator with a mass term in three-dimensional QCD for $N_c=2$ and quarks in the fundamental representation. We show that there exists a basis in which the matrix elements of the Euclidean Dirac…

High Energy Physics - Theory · Physics 2009-10-31 Ulrika Magnea

Let O be the minimal nilpotent adjoint orbit in a classical complex semisimple Lie algebra g. O is a smooth quasi-affine variety stable under the Euler dilation action $C^*$ on g. The algebra of differential operators on O is D(O)=D(Cl(O))…

q-alg · Mathematics 2007-05-23 A. Astashkevich , R. Brylinski

Instead of the Ginsparg-Wilson relation only generalized chiral symmetry is required. The resulting much larger class of Dirac operators for massless fermions is investigated and a general construction for them is given. It is also shown…

High Energy Physics - Lattice · Physics 2009-11-07 Werner Kerler

Using the large N_C approximation we have constructed the most general chiral resonance Lagrangian in the odd-intrinsic parity sector that can generate low energy chiral constants up to O(p^6). Integrating out the resonance fields these…

High Energy Physics - Phenomenology · Physics 2015-03-19 Karol Kampf , Jiri Novotny

In this paper we investigate the spectrum of the differential operators generated by the ordinary differential expression of odd order with PT-symmertic periodic matrix coefficients

Spectral Theory · Mathematics 2023-03-16 O. A. Veliev

We compute pseudoscalar meson masses and decay constants using staggered quarks on lattices with three flavors of sea quarks and lattice spacings $\approx 0.12$ fm and $\approx 0.09$ fm. We fit partially quenched results to ``staggered…

A strategy is developed to investigate the order of the transition using finite size scaling and its relation to color confinement. An in-depth numerical investigation has been performed with KS fermions on lattices with N_t=4 and…

High Energy Physics - Lattice · Physics 2008-11-26 M. D'Elia , A. Di Giacomo , C. Pica