Non-perturbative Renormalization of Four-Fermion Operators Relevant to $B_K$ with Staggered Quarks

Hwancheol Jeong; Jangho Kim; Jongjeong Kim; Weonjong Lee; Jeonghwan Pak; Sungwoo Park

Non-perturbative Renormalization of Four-Fermion Operators Relevant to $B_K$ with Staggered Quarks

High Energy Physics - Lattice 2014-11-03 v2

Authors: Hwancheol Jeong , Jangho Kim , Jongjeong Kim , Weonjong Lee , Jeonghwan Pak , Sungwoo Park

Abstract

We present preliminary results of matching factors of the four-fermion operators relevant to $B_K$ , which are obtained using the non-perturbative renormalization (NPR) method in the RI-MOM scheme with HYP-smeared improved staggered fermions. We use the MILC asqtad coarse ( $a \cong 0.12\,$ fm) ensembles with $20^3 \times 64$ geometry and $am_{\ell}/am_s = 0.01/0.05$ . We compare NPR results with those of one-loop perturbative matching.

Keywords

non-perturbative renormalization four-fermion operators $B_K$ staggered fermions RI-MOM scheme lattice QCD matching factors

Cite

@article{arxiv.1410.6607,
  title  = {Non-perturbative Renormalization of Four-Fermion Operators Relevant to $B_K$ with Staggered Quarks},
  author = {Hwancheol Jeong and Jangho Kim and Jongjeong Kim and Weonjong Lee and Jeonghwan Pak and Sungwoo Park},
  journal= {arXiv preprint arXiv:1410.6607},
  year   = {2014}
}

Comments

7 pages, 2 figures, Lattice 2014 proceeding, references updated

Non-perturbative Renormalization of Four-Fermion Operators Relevant to $B_K$ with Staggered Quarks

Abstract

Keywords

Cite

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