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Related papers: Chiral Perturbation Theory Beyond One Loop

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This talk is an overview of Chiral Perturbation Theory for Kaon physics as far as not covered by other speakers. It includes a short introduction to the strengths and weaknesses of Chiral Perturbation Theory and its applications to…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Bijnens

Chiral perturbation theory (CPT), the low-energy effective theory of QCD, can be used to describe QCD observables in the low-energy region in a model-independent way. At any given order in the chiral expansion, CPT introduces a finite…

High Energy Physics - Lattice · Physics 2007-05-23 Daniel Arndt

I give an overview of the calculations done in three-flavour Chiral perturbation theory at next-to-next-to-leading order with an emphasis on those relevant for an improvement in the accuracy of the measurement of $V_{us}$. It is pointed out…

High Energy Physics - Phenomenology · Physics 2007-05-23 Johan Bijnens

The Chiral Perturbation Theory (ChPT) has been very successful in describing low-energy hadronic properties in the non-perturbative regime of Quantum Chromodynamics. The results of ChPT, many of which are currently under active experimental…

High Energy Physics - Phenomenology · Physics 2019-12-11 A. Aleksejevs , S. Barkanova

The process $K_{\ell3}$ is calculated to two-loop order ($p^6$) in Chiral Perturbation Theory (ChPT) in the isospin conserved case. We present expressions suitable for use with previous work in two-loop CHPT where the order $p^4$ parameters…

High Energy Physics - Phenomenology · Physics 2011-03-22 Johan Bijnens , Pere Talavera

We consider chiral perturbation theory (ChPT) with a non-zero theta term. Due to the CP violating term, the vacuum of chiral fields is shifted to a non-trivial element on the SU(N_f) group manifold. The CP violation also provides mixing of…

High Energy Physics - Lattice · Physics 2014-11-20 Sinya Aoki , Hidenori Fukaya

There has recently been an intense activity in the study of finite volume effects by means of chiral perturbation theory. In this contribution I review recent work in this field both for the epsilon-- (Mpi L \lesssim 1) and the p--regime…

High Energy Physics - Lattice · Physics 2009-11-10 Gilberto Colangelo

I present a quick overview of the current status of Chiral perturbation theory in the meson sector. To illustrate the successes and some problems in the description of the phenomenology, I focus on a few selected examples that are relevant…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gilberto Colangelo

In this talk, I address the comparison between results from lattice QCD computations and Chiral Perturbation Theory (ChPT). I briefly discuss how ChPT can be adapted to the much-used quenched approximation and what it tells us about the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Maarten Golterman

I briefly review the current status of chiral perturbation theory in the meson sector. Emphasis is given on the quest for higher precision. I discuss two examples: one where it is difficult to make a good prediction (K_L -> pi^0 gamma…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gilberto Colangelo

We consider chiral perturbation theory in the meson sector at order $E^6$. In the terminology of the external field technique, the two--loop graphs so generated are of the sunset type. We discuss the evaluation of several of these in the…

High Energy Physics - Phenomenology · Physics 2011-09-13 J. Gasser , M. E. Sainio

Within Chiral Perturbation Theory (CHPT) we compute the form factors A, V and $\gamma = A/V$ in the $\pi \to \nu l \gamma$ decay to $O(p^6)$. A and $\gamma$ obtain corrections of order 25%.

High Energy Physics - Phenomenology · Physics 2016-09-06 J. Bijnens , P. Talavera

Multi-flavour (N_f>=3) Chiral Perturbation Theory (ChPT) may exhibit instabilities due to vacuum fluctuations of sea q-bar q pairs. Keeping the fluctuations small would require a very precise fine-tuning of the low-energy constants L_4 and…

High Energy Physics - Phenomenology · Physics 2016-09-06 S. Descotes-Genon , L. Girlanda , J. Stern

We derive the topological susceptibility to the one-loop order in the chiral effective theory of QCD, for an arbitrary number of flavors.

High Energy Physics - Lattice · Physics 2019-08-13 Yao-Yuan Mao , Ting-Wai Chiu

In this paper we compare two loop Chiral Perturbation Theory (ChPT) calculation of pion-pion scattering with the unitarity second order correction to the current algebra soft-pion theorem. It is shown that both methods lead to the same…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Sá Borges , J. Soares Barbosa , M. D. Tonasse

We discuss Partially Quenched Chiral Perturbation Theory (PQ$\chi$PT) and possible fitting strategies to Lattice QCD data at next-to-next-to-leading order (NNLO) in the mesonic sector. We also present a complete calculation of the masses of…

High Energy Physics - Lattice · Physics 2009-11-11 Johan Bijnens , Niclas Danielsson , Timo A. Lahde

We formulate quenched chiral perturbation theory for heavy-light mesons coupled to pions, and calculate the one-loop chiral logarithmic corrections to $f_B$, $f_{B_{s}}$, $B_B$ and $B_{B_{s}}$. We also calculate these corrections for…

High Energy Physics - Lattice · Physics 2009-10-28 Stephen R. Sharpe , Yan Zhang

The renormalization of chiral perturbation theory is carried out to next-to-next-to-leading order in the meson sector. We calculate the divergent part of the generating functional of Green functions of quark currents to O(p^6) for chiral…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Bijnens , G. Colangelo , G. Ecker

We present the results from our two-loop calculations of masses, decay-constants, vacuum-expectation-values and the $K_{\ell4}$ form-factors in three-flavour Chiral Perturbation Theory (CHPT). We use this to fit the $L_i^r$ to two-loops and…

High Energy Physics - Phenomenology · Physics 2017-08-23 Gabriel Amoros , Johan Bijnens , Pere Talavera

The $\eta \to \pi^+ \pi^- \pi^0 \gamma$ decay is discussed in the general context of Chiral Perturbation Theory (ChPT), assuming that the low--energy constants (counter--terms) are saturated by vector-meson resonances. The $\eta \to \pi^+…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Bramon , P. Gosdzinsky , S. Tortosa