Abstract
We determine anomalous dimensions of a family of fixed hypercharge operators in the Standard Model featuring the general Cabibbo-Kobayashi-Maskawa structure. The results are obtained at infinite orders in the couplings and to leading and subleading orders in the charge. The computed anomalous dimensions are shown to agree with the maximum known order in perturbation theory. We further show that the large hypercharge sector of the Standard Model is characterised by a non-Abelian vector condensation phase.
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Acknowledgments
The work of J.B. was supported by the World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan; and also supported by the JSPS KAKENHI Grant Number JP23K19047. The work of P. P is supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2023R1A2C1006975) and from the JRG Program at the APCTP through the Science and Technology Promotion Fund and Lottery Fund of the Korean Government. The work of F.S. is partially supported by the Carlsberg Foundation, grant CF22-0922. We thank Alexander Bednyakov for sharing with us his three-loops perturbative results for the Standard Model anomalous dimensions of the family of Higgs operators with hypercharge Q.
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Antipin, O., Bersini, J., Panopoulos, P. et al. Infinite order results for charged sectors of the Standard Model. J. High Energ. Phys. 2024, 168 (2024). https://doi.org/10.1007/JHEP02(2024)168
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DOI: https://doi.org/10.1007/JHEP02(2024)168