Abstract
We discuss the ongoing effort by the RBC & UKQCD collaborations to improve our lattice calculation of the measure of Standard Model direct CP violation, ∊’, with physical kinematics. We present our progress in decreasing the (dominant) statistical error and discuss other related activities aimed at reducing the systematic errors.
Highlights
The leading explanation for the dominance of matter over antimatter in the Universe, baryogenesis, requires the breaking of the CP-symmetry. While such a breaking occurs in the Standard Model, its size appears insufficient to account for the disparity, suggesting new Beyond the Standard Model sources of CP-violation (CPV) have yet to be discovered
A attractive avenue for searching for such physics is in the direct CP-violation occuring in the decays of KL into two pions, which is heavily suppressed in the Standard Model
In 2015 the RBC & UKQCD collaborations published [1] the first direct calculation of in the Standard Model using lattice QCD via the isospin-definite amplitudes AI = K →I, where I refers to the isospin quantum number of the final ππ state
Summary
The leading explanation for the dominance of matter over antimatter in the Universe, baryogenesis, requires the breaking of the CP-symmetry. A attractive avenue for searching for such physics is in the direct CP-violation occuring in the decays of KL into two pions, which is heavily suppressed in the Standard Model This was discovered during the late 1990s with the following result: Re(. In 2015 the RBC & UKQCD collaborations published [1] the first direct calculation of in the Standard Model using lattice QCD via the isospin-definite amplitudes AI = K → (ππ)I, where I refers to the isospin quantum number of the final ππ state. These amplitudes are computed as AI = F G√F Vu∗sVud[zi(μ) + τyi(μ)]Zi j(μ) (ππ)I|Q j(μ)|K ,. Since the aforementioned publication we have pursued a programme of substantially improving the errors on our calculation, and in this document we provide an update on our progress
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