Abstract
We present the three-loop calculations of the nonrelativistic QCD (NRQCD) current renormalization constants and corresponding anomalous dimensions, and the matching coefficients for the spatial-temporal tensor and spatial-spatial axial-tensor currents with two different heavy quark masses. We obtain the convergent decay constant ratio up to the next-to-next-to-next-to-leading order (N3LO) for the S-wave vector meson \( {B}_c^{\ast } \) involving the tensor and axial-tensor currents. We obtain the three-loop finite (ϵ0) term in the ratio of the QCD heavy flavor-changing tensor current renormalization constant in the on-shell (OS) scheme to that in the modified-minimal-subtraction (\( \overline{\textrm{MS}} \)) scheme, which is helpful to obtain the three-loop matching coefficients for all heavy flavor-changing (axial-)tensor currents.
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Acknowledgments
We thank A. Onishchenko and J. H. Piclum for many helpful discussions. This work is supported by NSFC under grant No. 11775117 and No. 12375003.
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Tao, W., Xiao, ZJ. Three-loop matching of heavy flavor-changing (axial-)tensor currents. J. High Energ. Phys. 2023, 152 (2023). https://doi.org/10.1007/JHEP12(2023)152
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DOI: https://doi.org/10.1007/JHEP12(2023)152