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A complete tree-level dictionary between simplified BSM models and SMEFT (d $\leq$ 7) operators
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abstract
Finding all possible UV resonances of effective operators is an important task in the bottom-up approach of effective field theory. We present all the tree-level UV resonances for the dimension-5, -6 and -7 operators in the Standard Model effective field theory (SMEFT), and then obtain the correspondence between the UV resonances and the effective operators from the relations among their Wilson coefficients, through the functional matching and operator reduction procedure. This provides a cross-dimension UV/IR dictionary for the SMEFT at tree-level, and the methods used here, especially the on-shell construction of general UV Lagrangian and the systematic reduction of operators, are extendable for UV resonances of $d \geq 8$ operators in SMEFT and other EFTs.
Forward citations
Cited by 2 Pith papers
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Challenging Majorana neutrino effects in $B\to K^{(\ast)}\nu\nu$ and $K\to \pi\nu\nu$ decays
Belle-II's B→Kνν excess cannot be explained by dimension-7 lepton-number-violating SMEFT operators without fine-tuning neutrino masses, while a light sterile-neutrino extension can, with testable decay spectra.
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A Non-linear Representation of General Scalar Extensions of the Standard Model for HEFT Matching
The paper constructs a non-linear 'U representation' that separates Goldstone bosons from heavy scalars, enabling straightforward tree-level HEFT matching for general scalar extensions and giving explicit formulas for...
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