Extending the Standard Model Effective Field Theory with the Complete Set of Dimension-7 Operators

By L. Lehman. 2014

226 citations recorded by the source corpus.

We present a complete list of the independent dimension-7 operators that are con- structed using the Standard Model degrees of freedom and are invariant under the Standard Model gauge group. This list contains only 20 independent operators; far fewer than the 63 operators available at dimension 6. All of these dimension-7 operators contain fermions and violate lepton number, and 7 of the 20 violate baryon number as well. This result extends the Standard Model Eective Field Theory and allows a more detailed exploration of the structure and properties of possible deformations from the Standard Model Lagrangian.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4c0fcb2522c3fe6d3ffa4992f7b11aa11bc05018

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

1. B. Henning
2. Xiaochuan Lu
3. H. Murayama
4. T. You
5. John Ellis
6. Tom Melia
7. Adam Martin
8. P. Stoffer

In Statistical and Nonlinear Physics

1. Adam Martin
2. B. Henning
3. H. Murayama
4. Xiaochuan Lu
5. Tom Melia
6. T. You
7. John Ellis
8. P. Stoffer

Citations in the corpus

• Hilbert Series for Constructing Lagrangians: expanding the phenomenologist's toolbox (2015, methodology): “Of course, the same technique could be used for finding operators violating lepton number or B − L. 4.2 The dimension-7 operator LLLeH As another example of applying the Hilbert series to the SMEFT, consider the class of dimension-7 operators with field content LLLeH [30].”
• Low-derivative operators of the Standard Model effective field theory via Hilbert series methods (2015, methodology): “Specifically, the fermion pair, which must be a lepton doublet L2 following the logic in [47] can either reside in the singlet (0, 0) or triplet (0, 1) representation of the Lorentz group, and each of those can be contracted with (DH)2.”
• 2, 84, 30, 993, 560, 15456, 11962, 261485, . . .: higher dimension operators in the SM EFT (2015, result): “Previous results have appeared in the literature at dimension 5 [2], 6 [3–5], 7 [6] and very recently 8 [7].”
• The universal one-loop effective action (2015, background): “There is however nothing limiting the extension of our universal results to operators of dimension seven [48] and higher [117, 118].”
• Low-energy effective field theory below the electroweak scale: operators and matching (2017, background): “SMEFT operators at dimension seven and eight also have been studied recently, and the number of operators in SMEFT at each mass dimension has been determined [8–12].”