Improvement of heavy-heavy and heavy-light currents with the Oktay-Kronfeld action

Jon A. Bailey, Yong Chull Jang, Sunkyu Lee, Weonjong Lee, Jaehoon Leem

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1 Citation (Scopus)


The Cabibbo-Kobayashi-Maskawa matrix elements |Vcb| and |Vub| can be obtained by combining data from the experiments with lattice QCD results for the semileptonic form factors for the B¯→D∗ℓν¯ and B¯→πℓν¯ decays. It is highly desirable to use the Oktay-Kronfeld (OK) action for the form factor calculation on the lattice, since the OK action is designed to reduce the heavy quark discretization error down to the O(a4Λ4)≃O(Λ4/(2mQ)4) level in the power counting rules of the heavy quark effective theory (HQET). Here, we present a matching calculation to improve heavy-heavy and heavy-light currents up to the λ3 order in HQET, the same level of improvement as the OK action. Our final results for the improved currents are being used in a lattice QCD calculation of the semileptonic form factors for the B¯→D∗ℓν¯ and B¯→Dℓν¯ decays.

Original languageEnglish
Article number034509
JournalPhysical Review D
Issue number3
Publication statusPublished - 2022 Feb 1

Bibliographical note

Funding Information:
We express our sincere gratitude to Andreas Kronfeld for helpful discussion and suggestions. The research of W. L. is supported by the Mid-Career Research Program (Grant No. NRF-2019R1A2C2085685) of the NRF grant funded by the Korean government (MOE). This work was supported by Seoul National University Grant (No. 0409-20190221). W. L. acknowledges the support from the KISTI supercomputing center through the strategic support program for the supercomputing application research (No. KSC-2016-C3-0072, No. KSC-2017-G2-0009, No. KSC-2017-G2-0014, No. KSC-2018-G2-0004, No. KSC-2018-CHA-0010, No. KSC-2018-CHA-0043, No. KSC-2020-CHA-0001). J. L. is supported by a KIAS Individual Grant (Grant No. PG070202) at Korea Institute for Advanced Study (KIAS). Computations were carried out in part on the DAVID clusters at Seoul National University.

Publisher Copyright:
© 2022 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the ""Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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