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This paper presents a first study of the masses and decay constants of the charged, or flavor-off-diagonal, pseudoscalar mesons to two loops for two flavors of sea-quarks, in Partially Quenched Chiral Perturbation Theory (PQ$\chi$PT).…

High Energy Physics - Lattice · Physics 2009-11-11 Johan Bijnens , Timo A. Lähde

A new set of the next-to-leading order (NLO) and the next-to-next-to-leading order (NNLO) low-energy constants $L_i^r$ and $C_i^r$ in chiral perturbation theory is obtained. These values are computed using the new experimental data with a…

High Energy Physics - Phenomenology · Physics 2020-11-13 Qin-He Yang , Wei Guo , Feng-Jun Ge , Bo Huang , Hao Liu , Shao-Zhou Jiang

This talks contains a short introduction to Chiral Perturbation Theory and the existing calculations to two-loop order in the mesonic sector. I include a discussion on which quantities the expansion can be organized in. The present best…

High Energy Physics - Lattice · Physics 2008-11-26 Johan Bijnens

Using Heavy Meson Chiral Perturbation Theory (HMChPT), the $B^* \pi$ excited states contamination of the $B \to \pi$ vector form factors is computed to NLO in the chiral expansion and in the static limit. The results suggest that the…

High Energy Physics - Lattice · Physics 2022-10-14 Oliver Bär , Alexander Broll , Rainer Sommer

The five low-energy constants (LECs) in the electromagnetic current derived in chiral effective field theory ($\chi$EFT) up to one loop are determined by a simultaneous fit to the $A\,$=$\,2$--3 nuclei magnetic moments and to the deuteron…

Nuclear Theory · Physics 2022-10-19 Alex Gnech , Rocco Schiavilla

The decays $K^{+} \rightarrow \pi^{+} e^{+} e^{-}$, $K_{S} \rightarrow \pi^{0} e^{+} e^{-}$ and $K_{L} \rightarrow \pi^{0} e^{+} e^{-}$ are reinvestigated within the framework of chiral perturbation theory. The counterterms induced by…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Fajfer

We discuss various aspects of resummed chiral perturbation theory, which was developed recently in order to consistently include the possibility of large vacuum fluctuations of the ss-pairs and the scenario with smaller value of the chiral…

High Energy Physics - Phenomenology · Physics 2011-09-06 M. Kolesar , J. Novotny

The ten nonleptonic weak decays $K \to 2\pi$, $K \to 3\pi$, $K_L \to 2\gamma$, $K_S \to 2\gamma$, $K_L \to \pi^\circ 2\gamma$, are predicted for a chiral pole model based on the linear sigma model theory which automatically satisfies the…

High Energy Physics - Phenomenology · Physics 2011-07-19 M. D. Scadron

Third order chiral perturbation theory accounts for the $\pi-N$ scattering phase shift data out to energies slightly below the position of the $\Delta$ resonance. The low energy constants are not accurately determined. Explicit inclusion of…

Nuclear Theory · Physics 2017-08-23 P. J. Ellis

In the framework of chiral perturbation theory with photons and leptons, the one-loop isospin breaking effects in $K_{\ell4}$ decays due to both the photonic contribution and the quark and meson mass differences are computed. A comparison…

High Energy Physics - Phenomenology · Physics 2015-06-18 Peter Stoffer

In framework of the chiral perturbation theory we obtain the phenomenological relations between decay branches of rare radiative kaon to pion and leptons $K^+ \to \pi^+ l^+ l^-$ and $K^0_S \to \pi^0 l^+ l^-$ and meson form factors. The…

High Energy Physics - Phenomenology · Physics 2011-03-14 V. Pervushin , V. Shilin

In this article we study impact of the lightest vector and scalar resonance multiplets in the pion and kaon decay constants up to next-to-leading order in the $1/N_C$ expansion, i.e., up to the one-loop level. The $F_\pi$ and $F_K$…

High Energy Physics - Phenomenology · Physics 2014-08-27 Zhi-Hui Guo , Juan Jose Sanz-Cillero

We complete the recalculation of the available two-loop expressions for the reaction \gamma\gamma->\pi\pi in the framework of chiral perturbation theory. Here, we present the results for charged pions. The cross section and the values of…

High Energy Physics - Phenomenology · Physics 2009-11-11 Juerg Gasser , Mikhail A. Ivanov , Mikko E. Sainio

In this talk we discuss a number of ChPT calculations relevant for lattice QCD. These include the finite volume corrections at two-loop order for masses and decay constants. The second part is about hadronic vacuum polarization where we…

High Energy Physics - Lattice · Physics 2016-11-21 Johan Bijnens , Johan Relefors

A calculation of the pion mass and decay constant at NNNLO in two-flavour chiral perturbation theory is presented. The results are cross-checked by using both the exponential and square root parameterizations of the Goldstone matrix field,…

High Energy Physics - Phenomenology · Physics 2018-01-17 Johan Bijnens , Nils Hermansson Truedsson

I present higher loop order results for several calculations in Chiral perturbation Theory. 1) Two-loop results at finite volume for hadronic vacuum polarization. 2) A three-loop calculation of the pion mass and decay constant in…

High Energy Physics - Lattice · Physics 2018-04-18 Johan Bijnens

The decay constant of the $\eta$-meson in the framework of 'resummed' chiral perturbation theory is discussed. A theoretical prediction is compared to the available determinations. Compatibility of these determinations with the latest fits…

High Energy Physics - Phenomenology · Physics 2019-12-20 Marián Kolesár , Jaroslav Říha

The long distance contribution to $K^+ \to \pi^+ \nu {\bar \nu} $ is calculated using chiral perturbation theory. The leading contribution comes from $O(p^4)$ tree terms. The branching ratio of the $O(p^4)$ long distance contribution is…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Fajfer

In the covariant light-front quark model, we investigate the $B_c\to h_c, \chi_{c0,1,2}$ form factors. The form factors are evaluated in space-like kinematic region and are recasted to the physical region by adopting the exponential…

High Energy Physics - Phenomenology · Physics 2009-08-03 Xiao-Xia Wang , Wei Wang , Cai-Dian Lü

We present the first direct evaluation of DI = 3/2 K -> pi pi matrix elements with the aim of determining all the low-energy constants at NLO in the chiral expansion. Our numerical investigation demonstrates that it is indeed possible to…

High Energy Physics - Lattice · Physics 2008-11-26 P. Boucaud , V. Gimenez , C-J. D. Lin , V. Lubicz , G. Martinelli , M. Papinutto , C. T. Sachrajda