Research Topics and Main Issues
Structure of chiral symmetry
Jeff Manudula has shown that there exist a countable infinite number
of chiral symmetries in the Ginsparg-Wilson (GW) fermion formulation.
Therefore, the construction of the chiral lagrangian is non-trivial.
We study the sturcture of the chiral symmetry systematically such that
we can understand the consequence of the extra chiral symmetries.
BK with high precision
Once we understand the structure of the chiral symmetries of the
GW fermions, we will construct the best operators to calculate
BK. We will perform the numerical study using these
operators, which will cross-check the results obtained
using improved staggered fermions.
Kl3 decay and form factors
Using the conserved vector current, we will calculate the vector
form factor of the Kl3 decay channel. The results will determine
Vus very precisely. This will overconstrain the unitarity
of the CKM matrix.
Non-perturbative Renormalization (NPR)
We will apply the NPR method of the RI-MOM scheme to calculate the
matching factors for BK and ε'/ε.
We will study both the exceptional momentum scheme and non-exceptional
momentum scheme to understand the systematic ambiguity in NPR.
ε'/ε
We will calculate the direct CP violation parameter ε'/ε
in the neutral kaon system using the GW fermions. This will lead to
a direct test of the standard model.