Abstract

When the Standard Model is considered as an effective low-energy theory, higher dimensional interaction terms appear in the Lagrangian. Dimension-six terms have been enumerated in the classical article by Buchmüller and Wyler [3]. Although redundance of some of those operators has been already noted in the literature, no updated complete list has been published to date. Here we perform their classification once again from the outset. Assuming baryon number conservation, we find 15 + 19 + 25 = 59 independent operators (barring flavour structure and Hermitian conjugations), as compared to 16 + 35 + 29 = 80 in ref. [3]. The three summed numbers refer to operators containing 0, 2 and 4 fermion fields. If the assumption of baryon number conservation is relaxed, 5 new operators arise in the four-fermion sector.

Details

Title
Dimension-six terms in the Standard Model Lagrangian
Author
Grzadkowski, B 1 ; Iskrzyński, M 1 ; Misiak, M 2 ; Rosiek, J 1 

 University of Warsaw, Institute of Theoretical Physics, Warsaw, Poland (GRID:grid.12847.38) (ISNI:0000000419371290) 
 University of Warsaw, Institute of Theoretical Physics, Warsaw, Poland (GRID:grid.12847.38) (ISNI:0000000419371290); Karlsruhe Institute of Technology (KIT), Institut für Theoretische Teilchenphysik, Karlsruhe, Germany (GRID:grid.7892.4) (ISNI:0000000100755874) 
Publication year
2010
Publication date
Oct 2010
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2397994768
Copyright
© The Author(s) 2010. Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. This work is published under https://creativecommons.org/licenses/by-nc/2.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.