Low-energy effective field theory below the electroweak scale: anomalous dimensions

By E. Jenkins, A. Manohar, P. Stoffer. Journal of High Energy Physics, 2017

225 citations recorded by the source corpus.

We compute the one-loop anomalous dimensions of the low-energy effective Lagrangian below the electroweak scale, up to terms of dimension six. The theory has 70 dimension-five and 3631 dimension-six Hermitian operators that preserve baryon and lepton number, as well as additional operators that violate baryon number and lepton number. The renormalization group equations for the quark and lepton masses and the QCD and QED gauge couplings are modified by dimension-five and dimension-six operator contributions. We compute the renormalization group equations from one insertion of dimension-five and dimension-six operators, as well as two insertions of dimension-five operators, to all terms of dimension less than or equal to six. The use of the equations of motion to eliminate operators can be ambiguous, and we show how to resolve this ambiguity by a careful use of field redefinitions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/49d96959b38a118349ca29e46fbf1983eca2a8a6

How researchers see this paper

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

In Astronomy and Astrophysics

1. A. Manohar
2. E. Jenkins
3. David M. Straub
4. Jason Aebischer
5. P. Stangl
6. P. Stoffer
7. T. You
8. Veronica Sanz

In Nuclear and High Energy Physics

1. David M. Straub
2. P. Stangl
3. Jason Aebischer
4. T. You
5. Veronica Sanz
6. John Ellis
7. P. Stoffer
8. E. Jenkins

Citations in the corpus

• B-decay discrepancies after Moriond 2019 (2019, result): “In contrast to the discussion in WET at the b-quark scale, more Wilson coefficients become relevant in SMEFT due to RG mixing above [68–70] and below [71,72] the EW scale.”
• Updated global SMEFT fit to Higgs, diboson and electroweak data (2018, methodology): “Below the electroweak scale the SMEFT can be matched to a low-energy EFT [73–76], whose running is also known [77].”
• A global likelihood for precision constraints and flavour anomalies (2018, methodology): “Thanks to the calculation of the complete one-loop SMEFT RGEs [6–9], the complete matching from SMEFT onto WET [10, 11] and the complete one-loop QCD and QED RGEs within WET [12, 13] that have been incorporated in the public code wilson [14] leveraging the open Wilson coefficient exchange format (WC”
• Low-energy effective field theory below the electroweak scale: operators and matching (2017, methodology): “Combined with previous results on the SMEFT [3, 7, 17–19], the calculation given here and in [22] allows one to compute low-energy consequences of BSM physics in a model-independent way at leading-log order, i.e. tree-level matching plus one-loop running.”