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Low-Energy Effective Field Theory below the Electroweak Scale: Operators and Matching
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abstract
The gauge-invariant operators up to dimension six in the low-energy effective field theory below the electroweak scale are classified. There are 70 Hermitian dimension-five and 3631 Hermitian dimension-six operators that conserve baryon and lepton number, as well as $\Delta B= \pm \Delta L = \pm 1$, $\Delta L=\pm 2$, and $\Delta L=\pm 4$ operators. The matching onto these operators from the Standard Model Effective Field Theory (SMEFT) up to order $1/\Lambda^2$ is computed at tree level. SMEFT imposes constraints on the coefficients of the low-energy effective theory, which can be checked experimentally to determine whether the electroweak gauge symmetry is broken by a single fundamental scalar doublet as in SMEFT. Our results, when combined with the one-loop anomalous dimensions of the low-energy theory and the one-loop anomalous dimensions of SMEFT, allow one to compute the low-energy implications of new physics to leading-log accuracy, and combine them consistently with high-energy LHC constraints.
Forward citations
Cited by 34 Pith papers
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One-loop matching of the LEFT to the QCD gradient flow
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$B\rightarrow K + \text{axion-like particles}$: effective versus UV-complete models and enhanced two-loop contributions
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Chiral perturbation theory for baryon-number-violating nucleon decay into a vector meson
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Inclusive Charmless Non-Leptonic B Decays at NLO within and beyond the Standard Model
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Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators
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Leptonic Flavor from Modular $A_4$: UV Mediators and SMEFT Realizations
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$B\to K{+}$invisible, dark matter, and $CP$ violation in hyperon decays
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Systematic Spurion Matching between Low Energy EFT and Chiral Lagrangian
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$\Lambda_b \to \Lambda^{(\ast)}\nu\bar{\nu}$ decays and the recent Belle-II $B^+\to K^+\nu\bar{\nu}$ data
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Automation of a Matching On-Shell Calculator
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