Abstract
We present the first part of a systematic calculation of the two-loop anomalous dimensions in the low-energy effective field theory (LEFT): the effects at dimension five in the power counting. Our calculation is performed in a basis with generic mass matrices. We employ the algebraically consistent ’t Hooft-Veltman scheme for γ5 and we correct for evanescent as well as chiral-symmetry-breaking effects by including the appropriate finite counterterms. We also provide results for the CP-even sector in a scheme that coincides with naive dimensional regularization. We discuss two methods to avoid the explicit construction of gauge-variant operators, which in principle are needed for the cancellation of sub-divergences, even in the background-field method. The two methods are consistent with each other and with existing partial results. Our work is a further step towards a complete EFT framework for physics beyond the Standard Model at next-to-leading-logarithmic accuracy.
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Acknowledgments
We thank B. Grinstein, A. V. Manohar, B. Ruijl, C.-H. Shen, A. Signer, D. Stockinger, A. E. Thomsen, and M. Zoller for useful discussions. Financial support by the Swiss National Science Foundation (Project No. PCEFP2_194272) is gratefully acknowledged.
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Naterop, L., Stoffer, P. Renormalization-group equations of the LEFT at two loops: dimension-five effects. J. High Energ. Phys. 2025, 7 (2025). https://doi.org/10.1007/JHEP06(2025)007
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DOI: https://doi.org/10.1007/JHEP06(2025)007