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<p>Renormalization group equations play a central role in effective field theories, both maintaining perturbative control and allowing one to determine the correct low-energy phenomenology. In this work, we complete the one-loop renormalization of the recently developed general effective field theory up to mass dimension six by providing the beta functions for physical fermionic operators. Together with ref. [1], our results allow one to renormalize any effective theory up to dimension six at one loop using only a group-theoretical calculation.</p>

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Renormalization of general effective field theories: renormalization of fermionic operators

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月9日

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  • Renato M. Fonseca,
  • Pablo Olgoso,
  • José Santiago

摘要

Renormalization group equations play a central role in effective field theories, both maintaining perturbative control and allowing one to determine the correct low-energy phenomenology. In this work, we complete the one-loop renormalization of the recently developed general effective field theory up to mass dimension six by providing the beta functions for physical fermionic operators. Together with ref. [1], our results allow one to renormalize any effective theory up to dimension six at one loop using only a group-theoretical calculation.