$B_K$ from twisted mass QCD
P. Dimopoulos, J. Heitger, C. Pena, S. Sint, A. Vladikas
TL;DR
This paper reports preliminary results for the $B_K$ parameter using twisted mass QCD, highlighting the method's advantage in avoiding operator mixing and employing Schrödinger functional renormalization.
Contribution
It introduces a novel approach to compute $B_K$ with twisted mass QCD, reducing operator mixing issues and utilizing SF framework for renormalization.
Findings
Preliminary $B_K$ results at $eta=6.0$.
Twisted mass QCD avoids mixing with other operators.
Renormalization performed via Schrödinger functional.
Abstract
We present some preliminary results for at , using the twisted mass QCD formalism for the computation of bare matrix elements of the operator. The main advantage of the method is that mixing with other operators under renormalisation is avoided. Moreover the operator renormalisation is performed in the Schr\"odinger functional (SF) framework, using earlier results of our collaboration for the corresponding step scaling function.
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