The Standard Model prediction for ε′/ε

2001/05/02 by Elisabetta Pallante, E. Pallante, A. Pich +3 · 5 citations
Mathematics · Physics and Astronomy · #Chiral perturbation theory #Error bar #Hadron #High-Energy Particle Collisions Research #Lagrangian #Logarithm #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Particle physics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quark #Standard Model (mathematical formulation) #Strange quark #hep-ex #hep-lat #hep-ph

paper · pdf · doi:10.1016/s0550-3213(01)00418-7

published as Nucl.Phys.B617:441-474,2001 · Latex, 35 pages

arxiv created 2001/05/02 · openalex publication_date 2001/12/01 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a detailed analysis of epsilon'/epsilon within the Standard Model, taking into account the strong enhancement through final-state interactions identified in refs. [1] and [2]. The relevant hadronic matrix elements are fixed at leading order in the 1/N_C expansion, through a matching procedure between the effective short-distance Lagrangian and its corresponding low-energy description in Chiral Perturbation Theory. All large logarithms are summed up, both at short and long distances. Two different numerical analyses are performed, using either the experimental or the theoretical value for epsilon, with compatible results. We obtain Re(epsilon'/epsilon) = (1.7 +- 0.9)*10^-3. The error is dominated by the uncertainty in the value of the strange quark mass and the estimated corrections from unknown 1/N_C-suppressed local contributions. A better estimate of the strange quark mass would reduce the uncertainty to about 30%. The Standard Model prediction agrees with the present experimental world average Re(epsilon'/epsilon) =(1.93 +- 0.24)*10^-3.

Citations

• Standard model confronting new results for ε′/ε
• Light quark masses in QCD
• A New Estimate of ε '/ε
• Chiral Lagrangians and Kaon CP-Violation
• Weak Hamiltonian, CP Violation and Rare Decays
• Effective Field Theory
• K0– mixing in the 1/Nc expansion
• An upgraded analysis of ɛ′/ɛ at the next-to-leading order
• QCD corrections to inclusive ΔS = 1, 2 transitions at the next-to-leading order
• The leading chiral electromagnetic correction to the nonleptonic ΔI=3/2 amplitude in kaon decays
• Weak K-amplitudes in the chiral and
• Chiral perturbation theory to one loop
• The electroweak π+−π0 mass difference and weak matrix elements in the 1/Nc expansion
• Determining the strange quark mass in Cabibbo-suppressed τ lepton decays
• Low energy constants from Kℓ4 form-factors
• On the QCD sum rule determination of the strange quark mass
• Chiral perturbation theory
• Strange-quark mass from combined e+e− and τ-decay data: test of the isospin symmetry and implications on ϵ′/ϵ and mu,d
• A planar diagram theory for strong interactions
• Order-αs3 determination of the strange quark mass
• Review of Particle Physics
• Phenomenological Lagrangians

Cited by

• Direct CP violation in K-decay and minimal left–right symmetry scale
• Chiral logarithms inΔS=1kaon decay amplitudes in general effective flavor theories
• Quantum Loops in the Resonance Chiral Theory: The Vector Form-Factor
• Kaon decays in the standard model
• ΔI= 1/2 and epsilon′/epsilon in large-NcQCD