Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2010-09-28
Phys.Rev.D83:014505,2011
Physics
High Energy Physics
High Energy Physics - Lattice
Accepted for publication in Phys. Rev. D; systematic error discussion slightly modified; total uncertainty estimate on the BK
Scientific paper
10.1103/PhysRevD.83.014505
We present an unquenched $N_f=2$ lattice computation of the $B_{K}$ parameter which controls $K^0-\bar K^0$ oscillations. A partially quenched setup is employed with two maximally twisted dynamical (sea) light Wilson quarks, and valence quarks of both the maximally twisted and the Osterwalder--Seiler variety. Suitable combinations of these two kinds of valence quarks lead to a lattice definition of the $B_{K}$ parameter which is both multiplicatively renormalizable and O($a$) improved. Employing the non-perturbative RI-MOM scheme, in the continuum limit and at the physical value of the pion mass we get $B^{\rm RGI}_K=0.729\pm 0.030$, a number well in line with the existing quenched and unquenched determinations.
Constantinou Martha
Dimopoulos Petros
ETM Collaboration
Frezzotti Roberto
Gimenez Vicent
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