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It is expected that in a hot QCD system, a local parity-odd domain can be produced due to nonzero chirality, which is induced from the difference of winding numbers carried by the gluon topological configuration (QCD sphaleron). This local…

Nuclear Theory · Physics 2017-06-13 Mamiya Kawaguchi , Masayasu Harada , Shinya Matsuzaki , Ruiwen Ouyang

QCD and QED exhibit an infinite set of three-point Green's functions that contain only OZI rule violating contributions, and (for QCD) are subleading in the large N_c expansion. The Green's functions describe the ``decay'' of a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Philip R. Page

We present a non-perturbative calculation for the pion decay constant with quenched Kogut-Susskind quarks. Numerical simulations are carried out at $\beta = 6.0$ and 6.2 with various operators extending over all flavors. The renormalization…

We analyze various aspects of pion and kaon condensation in the framework of chiral perturbation theory. Considering a system at vanishing temperature and varying the isospin chemical potential and the strange quark chemical potential we…

High Energy Physics - Phenomenology · Physics 2015-10-21 Andrea Mammarella , Massimo Mannarelli

We use dispersive techniques to address the behavior of the pion form factor as $Q^2 \to \infty$ and $Q^2 \to 0$. We perform the matching with the constraints of perturbative QCD and chiral perturbation theory in the high energy and low…

High Energy Physics - Phenomenology · Physics 2011-07-19 John F. Donoghue , Euy Soo Na

We have performed global fits of $f_{\pi}$ and $m_{\pi}$, from a variety of RBC-UKQCD domain wall fermion ensembles, to $SU(2)$ partially quenched chiral perturbation theory at NNLO. We report values for 9 NLO and 8 linearly independent…

High Energy Physics - Lattice · Physics 2015-11-16 R. D. Mawhinney , D. J. Murphy

QCD-like theories are of interest in various areas of beyond-Standard-Model phenomenology, including composite Higgs models or pionic dark matter. The effective field theories provide a framework for describing the dynamics of such strongly…

High Energy Physics - Phenomenology · Physics 2025-09-10 Helena Kolešová , Daniil Krichevskiy , Suchita Kulkarni

Present status of odd-intrinsic sector of low energy QCD is summarized. The two-photon decay of neutral pion is shortly discussed and its connection with the pion decay constant is analysed. A theoretical tool, the leading-log calculation…

High Energy Physics - Phenomenology · Physics 2013-03-01 Karol Kampf

We describe a rearrangement of the standard expansion of the symmetry breaking part of the QCD effective Lagrangian that includes into each order additional terms which in the standard chiral perturbation theory ($\chi$PT) are relegated to…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. Stern , H. Sazdjian , N. H. Fuchs

After a brief review of the quark-based model for nuclear matter, and some pion properties in medium presented in our previous works, we report new results for the pion valence wave function as well as the valence distribution amplitude in…

Nuclear Theory · Physics 2017-02-17 K. Tsushima , J. P. B. C de Melo

We derive an estimate for the ratio of the rho mass and the pion decay constant from an analysis of vector and axial-vector two-point functions using large-Nc, lowest-meson dominance and the operator product expansion, in the chiral limit.…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Golterman , S. Peris

We present non-perturbative results for beyond the standard model kaon mixing matrix elements in the isospin symmetric limit ($m_u=m_d$) of QCD, including a complete estimate of all dominant sources of systematic error. Our results are…

High Energy Physics - Lattice · Physics 2024-04-04 Peter A. Boyle , Felix Erben , Jonathan M. Flynn , Nicolas Garron , Julia Kettle , Rajnandini Mukherjee , J. Tobias Tsang

Global fits to the shape of the first QCD Laplace sum rule exhibiting sensitivity to pion-resonance [$\Pi (1300)$] parameters are performed, leading to predictions for the pion-resonance mass and decay constant. Two scenarios are considered…

High Energy Physics - Phenomenology · Physics 2009-10-30 T. G. Steele , J. C. Breckenridge , M. Benmerrouche , V. Elias , A. H. Fariborz

We derive a representation for the pion nucleon scattering amplitude that is valid to the fourth order of the chiral expansion. To obtain the correct analytic structure of the singularities in the low energy region, we have performed the…

High Energy Physics - Phenomenology · Physics 2010-02-03 T. Becher , H. Leutwyler

Based on the previous work in [Y. Jiang, Y.M. Shi, H.T. Feng, W.M. Sun and H.S. Zong, Phys. Rev. C {\bf 78}, 025214 (2008)] on the quark-meson vertex and pion properties at finite quark chemical potential, we provide an analytical analysis…

Nuclear Theory · Physics 2010-04-15 Yu Jiang , Yuan-mei Shi , Hua Li , Wei-min Sun , Hong-shi Zong

A nonlocal chiral quark model is consistently extended beyond mean field using a strict 1/Nc expansion scheme. The parameters of the nonlocal model are refitted to the physical values of the pion mass and the weak pion decay constant. The…

High Energy Physics - Phenomenology · Physics 2010-04-22 D. Blaschke , M. Buballa , A. E. Radzhabov , M. K. Volkov

We present a detailed numerical and analytical study of the out-of-equilibrium dynamics of Model G, the dynamical universality class relevant to the chiral phase transition. We perform numerical 3D stochastic (Langevin) simulations of the…

High Energy Physics - Lattice · Physics 2025-12-15 Adrien Florio , Eduardo Grossi , Aleksas Mazeliauskas , Alexander Soloviev , Derek Teaney

Chiral perturbation theory is the effective field theory of the strong interactions at low energies. We will give a short introduction to chiral perturbation theory for mesons and will discuss, as an example, the electromagnetic…

High Energy Physics - Phenomenology · Physics 2015-06-25 Stefan Scherer

In recent years a two-scale expansion was established to study reactions of the type N N -> N N pi within chiral perturbation theory. Then the diagrams of some subclasses that are invariant under the choice of the pion field no longer…

Nuclear Theory · Physics 2008-11-26 C. Hanhart , A. Wirzba

A Feynman path integral analysis of a two-neutrino-flavour electron appearence experiment following pion decay at rest recovers the standard oscillation phase, revealing an important contribution from the decay amplitude of the pion as well…

High Energy Physics - Phenomenology · Physics 2011-08-30 J. H. Field