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Low-energy effective field theory below the electroweak scale: matching at one loop
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We compute the one-loop matching between the Standard Model Effective Field Theory and the low-energy effective field theory below the electroweak scale, where the heavy gauge bosons, the Higgs particle, and the top quark are integrated out. The complete set of matching equations is derived including effects up to dimension six in the power counting of both theories. We present the results for general flavor structures and include both the $CP$-even and $CP$-odd sectors. The matching equations express the masses, gauge couplings, as well as the coefficients of dipole, three-gluon, and four-fermion operators in the low-energy theory in terms of the parameters of the Standard Model Effective Field Theory. Using momentum insertion, we also obtain the matching for the $CP$-violating theta angles. Our results provide an ingredient for a model-independent analysis of constraints on physics beyond the Standard Model. They can be used for fixed-order calculations at one-loop accuracy and represent a first step towards a systematic next-to-leading-log analysis.
Forward citations
Cited by 5 Pith papers
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SUSY meets SMEFT: Complete one-loop matching of the general MSSM
Complete one-loop matching of the general MSSM onto SMEFT in the Warsaw basis, including all SUSY-governed correlations among Wilson coefficients.
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When Two Loops Matter: Electroweak Precision in the SMEFT
A modification to the top-Higgs Yukawa coupling in SMEFT induces a two-loop shift in the W mass through a large anomalous dimension, providing a new indirect probe via electroweak precision observables.
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Two-Loop Anomalous Dimensions in the LEFT: Dimension-Six Four-Fermion Operators in NDR
Derives the full two-loop ADM for four-fermion operators in LEFT in NDR scheme including O(α_s²), O(α_s α) and O(α²) terms, with results for 5/4/3 active flavors implemented in DsixTools.
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Inclusive Charmless Non-Leptonic B Decays at NLO within and beyond the Standard Model
Complete NLO QCD corrections to charmless inclusive non-leptonic B-decay widths are computed for the full BSM operator set, yielding 26 constrained directions in Wilson coefficient space.
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Bottom quark electroweak dipole moments at a high-energy $\mu-$collider
A high-energy muon collider can set stronger limits on d=6 SMEFT operators for b-quark electroweak dipoles than existing EW precision data or B to Xs gamma measurements by studying bb and bbh final states.
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