Nonperturbative renormalization of quark bilinear operators and ${B}_{K}$ using domain wall fermions

Nonperturbative renormalization of quark bilinear operators and $B_{K}$ using domain wall fermions

Y. Aoki, P. A. Boyle, N. H. Christ, C. Dawson, M. A. Donnellan, T. Izubuchi, A. Jüttner, S. Li, R. D. Mawhinney, J. Noaki, C. T. Sachrajda, A. Soni, R. J. Tweedie, and A. Yamaguchi (RBC and UKQCD Collaborations)

Phys. Rev. D 78, 054510 – Published 24 September 2008

Abstract

We present a calculation of the renormalization coefficients of the quark bilinear operators and the $K - \bar{K}$ mixing parameter $B_{K}$ . The coefficients relating the bare lattice operators to those in the RI/MOM scheme are computed nonperturbatively and then matched perturbatively to the $\bar{MS}$ scheme. The coefficients are calculated on the RBC/UKQCD $2 + 1$ flavor dynamical lattice configurations. Specifically we use a $16^{3} \times 32$ lattice volume, the Iwasaki gauge action at $β = 2.13$ and domain wall fermions with $L_{s} = 16$ .

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Received 3 January 2008

DOI:https://doi.org/10.1103/PhysRevD.78.054510

Authors & Affiliations

Y. Aoki¹, P. A. Boyle², N. H. Christ³, C. Dawson^1,*, M. A. Donnellan⁴, T. Izubuchi^1,5, A. Jüttner⁴, S. Li³, R. D. Mawhinney³, J. Noaki⁶, C. T. Sachrajda⁴, A. Soni⁷, R. J. Tweedie², and A. Yamaguchi⁸ (RBC and UKQCD Collaborations)

¹RIKEN-BNL Research Center, , USABrookhaven National Laboratory, Upton, New York 11973, USA
²SUPA, School of Physics, The University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
³Physics Department, Columbia University, New York, New York 10027, USA
⁴School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom
⁵Institute for Theoretical Physics, Kanazawa University, Kakuma, Kanazawa, 920-1192, Japan
⁶Institute of Particle and Nuclear Studies, KEK, Tsukuba, Ibaraki 305-0801, Japan
⁷Brookhaven National Laboratory, Upton, New York 11973, USA
⁸SUPA, Department of Physics & Astronomy, University of Glasgow, Glasgow G12 8QQ, United Kingdom

^*Current affiliation: Department of Physics, University of Virginia, Charlottesville, VA, USA.

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Vol. 78, Iss. 5 — 1 September 2008

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