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  • 标题:Scaling of $B_K$ for 2+1 flavour domain wall fermions from $24^3$ and $32^3 \times 64$ lattices
  • 本地全文:下载
  • 作者:C. Kelly
  • 期刊名称:PoS - Proceedings of Science
  • 印刷版ISSN:1824-8039
  • 出版年度:2008
  • 卷号:2008
  • 出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
  • 摘要:We present preliminary results from a 323 64 lattice calculation of the neutral kaon mixing factor BK using 2+1 avours of DomainWall fermions, focussing on the chiral extrapolation and non-perturbative renormalisation (NPR) of this quantity and comparing to our previous results obtained from a 24364 lattice. These simulations were performed using the Iwasaki gauge action at two different lattice spacings: a􀀀1 = 1:729(28) GeV for the 24364 calculation and a􀀀1 = 2:42(4) 0:47 r0(fm) GeV for the 32364, maintaining an approximately xed physical volume of (2:7fm)3. In the discussion of the chiral extrapolation to the physical quark masses, we compare the ts to an SU(2) partially-quenched chiral t form for which the kaon is coupled into the theory as a heavy external particle. As the 323 64 results are preliminary at the time of writing we do not present a result for the chiral extrapolation on this data set. Results for the 243 64 lattice calculation have been published [1]. For the NPR we compare the stages of the calculation of the non-perturbative renormalisation constant ZBK using the Rome-Southampton regularisation-invariant momentum scheme (RI/MOM), where for the recent 32364 calculation we have used a lattice-volume source for the calculation of the propagators, an approach which offers a substantial gain over the point source approach used for the 243 64 calculation due to the volume averaging of the bilinear and four-quark vertex locations.
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