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Non-perturbative renormalization of quark bilinear operators and B_K using domain wall fermions

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arxiv 0712.1061 v1 pith:A35PA4WG submitted 2007-12-06 hep-lat

Y. Aoki , P.A. Boyle , N.H. Christ , C. Dawson , M.A. Donnellan , T. Izubuchi , A. Juttner , S. Li
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R.D. Mawhinney J. Noaki C.T. Sachrajda A. Soni R.J. Tweedie A. Yamaguchi
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classification hep-lat
keywords coefficientslatticeoperatorsbilineardomainfermionsquarkrenormalization
verification ladder T0 review T1 audit T2 compute T3 formal

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We present a calculation of the renormalization coefficients of the quark bilinear operators and the K-Kbar mixing parameter B_K. The coefficients relating the bare lattice operators to those in the RI/MOM scheme are computed non-perturbatively and then matched perturbatively to the MSbar scheme. The coefficients are calculated on the RBC/UKQCD 2+1 flavor dynamical lattice configurations. Specifically we use a 16^3 x 32 lattice volume, the Iwasaki gauge action at beta=2.13 and domain wall fermions with L_s=16.

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Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 100 citations worldwide. Full citation record

  1. A new approach to quark mass determination using the gradient flow

    hep-lat 2025-06 conditional novelty 7.0 of 10

    The MS quark mass can be extracted by matching lattice data to ratios of flowed quark bilinear VEVs, and this paper provides the required next-to-leading-order expressions with full mass dependence.

  2. Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD

    hep-ph 2025-09 conditional novelty 6.0 of 10

    The sigma-mass, obtained by subtracting the trace-anomaly contribution from the pole mass, is free of the leading infrared renormalon, with its relation to the pole mass now known to five loops.

  3. Proton decay matrix elements on PACS configurations

    hep-lat 2025-01 conditional novelty 6.0 of 10

    A preliminary lattice QCD calculation of twelve proton decay matrix elements at the physical pion mass with Wilson-clover fermions, using updated RI renormalization, agrees mostly with the RBC continuum results.

  4. Renormalising vector currents in lattice QCD using momentum-subtraction schemes

    hep-lat 2019-09 accept novelty 6.0 of 10

    Z_V for HISQ vector currents is exact and condensate-free in RI-SMOM and in a modified ratio scheme, but the standard RI'-MOM scheme has O(1%) condensate contamination.

  5. A note on momentum subtraction schemes for quark bilinears and semileptonic operators

    hep-lat 2026-06 unverdicted novelty 5.0 of 10

    Extends the RI/SMOM scheme to semi-leptonic operators via Ward-identity-protected vector currents and demonstrates equivalence to the Gorbahn et al. 2023 projectors for Wilson coefficient calculations.

  6. Baryon Number Violation: From Nuclear Matrix Elements to BSM Physics

    hep-ph 2025-04 unverdicted novelty 2.0 of 10

    A workshop report that maps the current experimental and theoretical landscape for baryon number violation, from proton decay and neutron-antineutron oscillation searches to the EFT, lattice QCD, and astrophysical con...

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