• Corpus ID: 229297912

Nonleptonic $K\to 2\,\pi$ decay dynamics

  title={Nonleptonic \$K\to 2\,\pi\$ decay dynamics},
  author={Hector Gisbert},
  journal={arXiv: High Energy Physics - Phenomenology},
  • H. Gisbert
  • Published 17 December 2020
  • Physics
  • arXiv: High Energy Physics - Phenomenology
Using Chiral Perturbation Theory to properly account for the dynamics of nonleptonic $K\to 2\,\pi$ decays, we found the Standard Model prediction for the CP violating ratio $\mbox{Re}\left(\varepsilon'/\varepsilon\right)=\left(14\pm 5\right) \times 10^{-4}$, where isospin breaking effects are included, in perfect agreement with the current experimental world average. Similar results have been reported by a recent release of improved lattice data. 


A complete update of $\varepsilon'/\varepsilon$ in the Standard Model
A complete update of the Standard Model prediction of the direct CP-violation ratio, including a new re-analysis of isospin-breaking corrections which are of vital importance in the theoretical determination of this observable.
Isospin-Violating Contributions to $\epsilon'/\epsilon$
The known isospin-breaking contributions to the $K\rightarrow \pi\pi$ amplitudes are reanalyzed, taking into account our current understanding of the quark masses and the relevant non-perturbative
Towards NNLO accuracy for $\varepsilon'/\varepsilon$
The quantity $\varepsilon'/\varepsilon$ measures direct CP violation in Kaon decays. Recent SM predictions show a $2.9\sigma$ tension with data, with the theoretical uncertainty dominating. As rapid
Updated Standard Model Prediction for $\varepsilon'/\varepsilon$.
A recent lattice evaluation of $\varepsilon'/\varepsilon$, finding a 2.1 $\sigma$ deviation from the experimental value, has revived the old debate about a possible $\varepsilon'/\varepsilon$
Confronting hadronic tau decays with non-leptonic kaon decays
In the chiral limit, the D = 6 contribution to the Operator Product Expansion (OPE) of the VV −AA correlator of quark currents only depends on two vacuum condensates, which can be related to hadronic
Lattice determination of the $K \to (ππ)_{I=2}$ Decay Amplitude $A_2$
We describe the computation of the amplitude A2 for a kaon to decay into two pions with isospin I = 2. The results presented in the letter [1] from an analysis of 63 gluon configurations are updated
Standard Model Prediction for Direct CP Violation in K→ππ Decay.
The result for Re(ϵ^{'}/ϵ) provides a new test of the standard model theory of CP violation, one which can be made more accurate with increasing computer capability.
Large N Approach to Kaon Decays and Mixing 28 Years Later: Delta I = 1/2 Rule, \hat B_K and Delta M_K
We review and update our results for K-> pipi decays and K^0-\bar K^0 mixing obtained by us in the 1980s within an approach based on the dual representation of QCD as a theory of weakly interacting
Emerging understanding of the ΔI=1/2 rule from lattice QCD.
It is found that the two dominant contributions to the ΔI=3/2, K→ππ correlation functions have opposite signs, leading to a significant cancelation, which occurs in the computation of ReA2 with physical quark masses and kinematics and also for heavier pions at threshold.
An evaluation of |Vus| and precise tests of the Standard Model from world data on leptonic and semileptonic kaon decays
We present a global analysis of leptonic and semileptonic kaon decay data, including all recent results published by the BNL-E865, KLOE, KTeV, ISTRA+ and NA48 experiments. This analysis, in