S-matrix consistency forces the complete gluon amplitude structure and requires Yang-Mills Lie algebra plus Higgs mechanism for unitarised massive vector boson scattering.
Analysis of General Power Counting Rules in Effective Field Theory
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abstract
We derive the general counting rules for a quantum effective field theory (EFT) in $\mathsf{d}$ dimensions. The rules are valid for strongly and weakly coupled theories, and predict that all kinetic energy terms are canonically normalized. They determine the energy dependence of scattering cross sections in the range of validity of the EFT expansion. We show that the size of cross sections is controlled by the $\Lambda$ power counting of EFT, not by chiral counting, even for chiral perturbation theory ($\chi$PT). The relation between $\Lambda$ and $f$ is generalized to $\mathsf{d}$ dimensions. We show that the naive dimensional analysis $4\pi$ counting is related to $\hbar$ counting. The EFT counting rules are applied to $\chi$PT, low-energy weak interactions, Standard Model EFT and the non-trivial case of Higgs EFT.
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Consistent NLO power counting in HEFT for di-Higgs gluon fusion requires higher-dimensional operators beyond leading order, affecting kinematic benchmarks used in experiments.
HEFT admits two consistent power counting schemes, one with a single low-energy scale v and one with two scales v < f, each allowing systematic truncation of operators and amplitudes for any normalization choice.
A review summarizing recent theory, tools, and phenomenology in the Standard Model Effective Field Theory.
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Consistent Scattering Amplitudes, Yang-Mills, the Higgs Mechanism and the EFTs Beyond
S-matrix consistency forces the complete gluon amplitude structure and requires Yang-Mills Lie algebra plus Higgs mechanism for unitarised massive vector boson scattering.
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Higgs pair production in gluon fusion to higher orders in Higgs Effective Field Theory
Consistent NLO power counting in HEFT for di-Higgs gluon fusion requires higher-dimensional operators beyond leading order, affecting kinematic benchmarks used in experiments.
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The Art of Counting: a reappraisal of the HEFT expansion
HEFT admits two consistent power counting schemes, one with a single low-energy scale v and one with two scales v < f, each allowing systematic truncation of operators and amplitudes for any normalization choice.
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Recent Developments in SMEFT: Theory, Tools, and Phenomenology
A review summarizing recent theory, tools, and phenomenology in the Standard Model Effective Field Theory.