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We report on a recent study of the SU(3)-breaking corrections to the hyperon vector coupling $f_1(0)$ up to $\mathcal{O}(p^4)$ in covariant baryon chiral perturbation theory with dynamical octet and decuplet contributions. The decuplet…

High Energy Physics - Phenomenology · Physics 2014-11-20 L. S. Geng , J. Martin Camalich , M. J. Vicente Vacas

We examine the shift in the chiral condensate due to a constant electromagnetic field at ${\cal O}(p^6)$ using SU(2) chiral perturbation theory and a realistic $M_\pi = 140 \textrm{MeV}$. We find that this value differs significantly from…

High Energy Physics - Phenomenology · Physics 2008-11-26 Elizabeth S. Werbos

The baryon axial vector current is computed in a combined formalism in $1/N_c$ and chiral corrections. Flavor $SU(3)$ symmetry breaking is accounted for in two ways: Implicitly through the integrals occurring in the one-loop graphs and…

High Energy Physics - Phenomenology · Physics 2025-07-16 Ruben Flores-Mendieta , Guillermo Sanchez-Almanza

Chern-Simons Theory with gauge group $SU(N)$ is analyzed from a perturbation theory point of view. The vacuum expectation value of the unknot is computed up to order $g^6$ and it is shown that agreement with the exact result by Witten…

High Energy Physics - Theory · Physics 2009-10-22 M. Alvarez , J. M. F. Labastida

We point out that, contrary to existing claims of the opposite, Vainshtein's theorem on the non-renormalization of the correlator of an axial and two vector currents, is only valid in the chiral limit. When quarks, that contribute to the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Kirill Melnikov

We calculate the two form-factors for the four Kaon to pion transitions via a vector current to order $p^6$ in Chiral Perturbation Theory to first order in isospin breaking via the quark masses. In addition we derive relations between these…

High Energy Physics - Phenomenology · Physics 2007-11-02 Johan Bijnens , Karim Ghorbani

By means of a numerical analysis using a non-Abelian symmetry realization of the density matrix renormalization group, we study the behavior of vector chirality correlations in isotropic frustrated chains of spin S=1 and S=1/2, subject to a…

Strongly Correlated Electrons · Physics 2008-04-22 I. P. McCulloch , R. Kube , M. Kurz , A. Kleine , U. Schollwock , A. K. Kolezhuk

We compute a variety of operator-operator correlation functions to third order in the MSbar scheme in the chiral limit. These include combinations of quark bilinear currents with gauge invariant operators such as moments n = 2 and 3 of the…

High Energy Physics - Phenomenology · Physics 2010-01-15 J. A. Gracey

By explicit calculation of the two-loop QCD corrections we show that for singlet axial and vector currents the full off-shell <VVA> correlation function in the limit of massless fermions is proportional to the one-loop result, when…

High Energy Physics - Theory · Physics 2009-11-11 F. Jegerlehner , O. V. Tarasov

Anomalous triangle graphs for the divergence of the axial-vector current are studied using the dispersive approach generalized for the case of higher orders of perturbation theory. The validity of this procedure is proved up to two-loop…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. S. Pasechnik , O. V. Teryaev

Next to leading order corrections to the $SU(3) \times SU(3)$ Gell-Mann-Oakes-Renner relation (GMOR) are obtained using weighted QCD Finite Energy Sum Rules (FESR) involving the pseudoscalar current correlator. Two types of integration…

High Energy Physics - Phenomenology · Physics 2015-06-11 J. Bordes , C. A. Dominguez , P. Moodley , J. Peñarrocha , K. Schilcher

We study the two-point functions from chiral kinetic theory which characterize the response to perturbative vector and axial gauge fields in magnetized chiral plasma. In the lowest Landau level approximation, the solution of chiral kinetic…

Nuclear Theory · Physics 2021-12-28 Lixin Yang

The interactions of $\rho$, $K^*$, $\phi$ and $\omega$ vector-mesons with low-momentum $\pi$, $K$ and $\eta$ pseudoscalar mesons are constrained by chiral symmetry. We derive a heavy vector-meson chiral Lagrangian in which the vector mesons…

High Energy Physics - Phenomenology · Physics 2008-11-26 Elizabeth Jenkins , Aneesh V. Manohar , Mark B. Wise

Quark-meson duality for two-point functions of vector and axial-vector QCD currents is investigated in the large-Nc approximation. We find that the joint constraints of duality and chiral symmetry imply degeneracy of excited vector and…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. R. Beane

We perform a systematic study of two-meson form factors of the scalar, vector, and anti-symmetric tensor types within the framework of the $U(3)$ resonance chiral theory. The complete perturbative form factors in both the…

High Energy Physics - Phenomenology · Physics 2026-05-15 Jin Hao , Chun-Gui Duan , Zhi-Hui Guo , J. Oller , J. Ruiz de Elvira

We derive the leading order strangeness S=-2 baryon-baryon interactions in chiral effective field theory. The potential consists of contact terms without derivatives and of one-pseudoscalar-meson exchanges. The contact terms and the…

Nuclear Theory · Physics 2016-03-28 H. Polinder , J. Haidenbauer , U. -G. Meißner

We perform a chiral extrapolation of lattice data on the scalar K pi form factor and the ratio of the kaon and pion decay constants within Chiral Perturbation Theory to two loops. We determine the value of the scalar form factor at zero…

High Energy Physics - Phenomenology · Physics 2010-05-28 Véronique Bernard , Emilie Passemar

We present a calculation of the Vector Form Factor at the next-to-leading order in the 1/N_C expansion, within the framework of Resonance Chiral Theory. The calculation is performed in the chiral limit, and with two dynamical quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 I. Rosell , J. J. Sanz-Cillero , A. Pich

The charged kaon decay channel K_l3gamma^+ allows for studies of direct CP violation, possibly due to non-standard mechanisms, with the help of T-odd correlation variables. In order to be able to extract a CP-violating signal from…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eike H. Müller , Bastian Kubis , Ulf-G. Meißner

We calculate the threshold T-matrices of kaon-nucleon and antikaon-nucleon scattering to one loop order in SU(3) heavy baryon chiral perturbation theory. To that order the complex-valued isospin-1 $\bar KN$ threshold T-matrix can be…

Nuclear Theory · Physics 2014-11-18 N. Kaiser