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<p>We describe the most general local, Lorentz-invariant, effective field theory of scalars, fermions and gauge bosons up to mass dimension 6. We first obtain both a Green and a physical basis for such an effective theory, together with the on-shell reduction of the former to the latter. We then proceed to compute the renormalization group equations for the bosonic operators of this general effective theory at one-loop order.</p>

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Renormalization of general Effective Field Theories: formalism and renormalization of bosonic operators

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月11日

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

摘要

We describe the most general local, Lorentz-invariant, effective field theory of scalars, fermions and gauge bosons up to mass dimension 6. We first obtain both a Green and a physical basis for such an effective theory, together with the on-shell reduction of the former to the latter. We then proceed to compute the renormalization group equations for the bosonic operators of this general effective theory at one-loop order.