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New constraints on resonance saturation in chiral perturbation theory are investigated. These constraints arise because each consistent saturation scheme must map to a representation of the full QCD chiral symmetry group. The low-energy…

High Energy Physics - Phenomenology · Physics 2009-10-31 Silas R. Beane

The branching ratios of the measured decay $K_L\to\pi^+\pi^-e^+e^-$ and of the still unmeasured decay $K^+\to\pi^+\pi^0e^+e^-$ are calculated to next-to-leading order in Chiral Perturbation Theory (CHPT). Recent experimental results are…

High Energy Physics - Phenomenology · Physics 2009-01-07 Hannes Pichl

A summary of recent progress in Chiral Perturbation Theory (ChPT) at the two-loop level is given. A short introduction to ChPT is included, along with an explanation of the usefulness of developing ChPT for partially quenched QCD. Further,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johan Bijnens , Niclas Danielsson , Timo A. Lahde

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

We analyse the odd-intrinsic-parity effective Lagrangian of QCD valid for processes involving one pseudoscalar with two vector mesons described in terms of antisymmetric tensor fields. Substantial information on the odd-intrinsic-parity…

High Energy Physics - Phenomenology · Physics 2009-11-10 P. D. Ruiz-Femenia , A. Pich , J. Portoles

We match the results for the subthreshold parameters of pion-nucleon scattering obtained from a solution of Roy-Steiner equations to chiral perturbation theory up to next-to-next-to-next-to-leading order, to extract the pertinent low-energy…

Nuclear Theory · Physics 2015-11-09 Martin Hoferichter , Jacobo Ruiz de Elvira , Bastian Kubis , Ulf-G. Meißner

In this paper, we present the full Lagrangian of mesons (pseudoscalars, vectors and axial-vectors) to $O(p^4)$ by using the explicit global chiral symmetry and hidden local symmetry in the chiral limit. In this approach, we see that there…

High Energy Physics - Phenomenology · Physics 2009-11-10 Yong-Liang Ma , Qing Wang , Yue-Liang Wu

Axial-vector transitions of decuplet to octet baryons are parametrized at low energies guided by a complete and minimal chiral Lagrangian up to next-to-leading order. It is pointed out that beyond the well-known leading-order term, there is…

High Energy Physics - Phenomenology · Physics 2019-12-11 Måns Holmberg , Stefan Leupold

The effects of the CP violating $\theta$ term in the QCD Lagrangian upon low energy hadronic phenomenology are reconsidered. Strong CP violating interactions among Goldstone bosons and octet baryons are incorporated into an effective chiral…

High Energy Physics - Phenomenology · Physics 2010-11-01 Peter Cho

We update our original low-energy constants to the O(p6) order, including two and three flavours, the normal and anomalous ones. Following a comparative analysis, the O(p4) results are considered better. In the O(p6) order, most of our…

High Energy Physics - Phenomenology · Physics 2015-07-14 Shao-Zhou Jiang , Zhen-Long Wei , Qing-Sen Chen , Qing Wang

We revisit the most general effective lagrangian within Chiral Perturbation Theory at nonzero isospin chemical potential. In addition to the contributions already considered in the literature, we discuss the effects of new terms allowed by…

High Energy Physics - Phenomenology · Physics 2022-12-28 Angel Gómez Nicola , Andrea Vioque-Rodríguez

The renormalized pion-nucleon Lagrangian is calculated to O(p^3) in heavy baryon chiral perturbation theory. By suitably chosen transformations of the nucleon field, the Lagrangian is brought to a standard form.

High Energy Physics - Phenomenology · Physics 2009-10-28 Gerhard Ecker , Martin Mojzis

We calculate the low energy constants of four-nucleon interactions in an effective chiral Lagrangian in holographic QCD. We start with a D4-D8 model to obtain meson-nucleon interactions and then integrate out massive mesons to obtain the…

High Energy Physics - Phenomenology · Physics 2015-06-03 Youngman Kim , Deokhyun Yi , Piljin Yi

We review several results that have been obtained using lattice QCD with the staggered quark formulation. Our focus is on the quantities that have been calculated numerically with low statistical errors and have been extrapolated to the…

High Energy Physics - Lattice · Physics 2008-11-26 C. Aubin

The delta-regime of QCD is characterised by light quarks in a small spatial box, but a large extent in (Euclidean) time. In this setting a specific variant of chiral perturbation theory - the delta-expansion - applies, based on a quantum…

High Energy Physics - Lattice · Physics 2015-05-27 W. Bietenholz , N. Cundy , M. Gockeler , R. Horsley , Y. Nakamura , D. Pleiter , P. E. L. Rakow , G. Schierholz , J. M. Zanotti

We calculate the low-energy constant $L_{10}$ in a two-representation SU(4) lattice gauge theory that is close to a composite-Higgs model. From this we obtain the contribution of the new strong sector to the $S$ parameter. This leads to an…

High Energy Physics - Lattice · Physics 2021-04-28 Maarten Golterman , William I. Jay , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky

We present the results of a search for relations between observables that are independent of the Chiral Pertubation Theory (ChPT) Next-to-Next-to-Leading Order (NNLO) Low-Energy Constants (LECs). We have found some relations between…

High Energy Physics - Phenomenology · Physics 2009-04-24 Johan Bijnens , Ilaria Jemos

We reconsider the Constituent Chiral Quark Model of Manohar and Georgi in the presence of $SU(3)_{L}\times SU(3)_{R}$ external sources. As recently emphasized by Weinberg, the corresponding effective Lagrangian is renormalizable in the…

High Energy Physics - Phenomenology · Physics 2015-05-28 Eduardo de Rafael

The values of the low-energy constants (LECs) are very important in the chiral perturbation theory. This paper adopts a Bayesian method with the truncation errors to globally fit eight next-to-leading order (NLO) LECs $L_i^r$ and…

High Energy Physics - Phenomenology · Physics 2024-08-21 Hao-Xiang Pan , De-Kai Kong , Qiao-Yi Wen , Shao-Zhou Jiang

We present the results of a search for relations between observables that are independent of the Chiral Perturbation Theory (ChPT) Next-to-Next-to-Leading Order (NNLO) Low-Energy Constants (LECs). We have found some relations between…

High Energy Physics - Phenomenology · Physics 2014-11-20 Johan Bijnens , Ilaria Jemos
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