Position-space renormalization schemes for four-quark operators in HQET
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13130_2024_Article_24025.pdf
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Author(s)
Lin, Joshua
Detmold, William
Meinel, Stefan
Date Issued
July 22, 2024
Journal
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Citation
Lin, J., Detmold, W. & Meinel, S. Position-space renormalization schemes for four-quark operators in HQET. J. High Energ. Phys. 2024, 188 (2024).
Version
Final published version
Abstract
X-space schemes are gauge-invariant, regulator-independent renormalization schemes that are defined by requiring position-space correlation functions of gauge-invariant operators to be equal to their noninteracting values at particular kinematic points. These schemes can be used to nonperturbatively renormalize composite operators in Lattice Quantum Chromodynamics (LQCD), and by computing matching coefficients between the X-space scheme and MS⎯⎯⎯⎯⎯⎯⎯⎯⎯
in the dimensionally-regulated continuum, matrix elements calculated with LQCD can be converted to MS⎯⎯⎯⎯⎯⎯⎯⎯⎯
-renormalized matrix elements. Using X-space schemes for Heavy Quark Effective Theory (HQET) operators has the additional benefit that appropriate ratios of position-space correlation functions cancel the power-divergent static-quark self-energy of Lattice HQET nonperturbatively. This work presents the O(αS) matching coefficients between X-space renormalized four-quark flavor-nonsinglet HQET operators relevant for the lifetimes of charm- and bottom-hadrons, and four-quark HQET operators relevant for mixing between neutral mesons containing a heavy quark, such as B − 𝐵⎯⎯⎯⎯
mixing.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/jhep07(2024)188
