Dimension-six terms in the Standard Model Lagrangian

By B. Grzadkowski, Mateusz Iskrzyński, M. Misiak, Janusz Rosiek. 2010

2,153 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5512dbaf8690da3c56c9e3e1171632f916fbf6b5

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Citations in the corpus

Combined SMEFT interpretation of Higgs, diboson, and top quark data from the LHC (2021, methodology): “Here we follow the notation of the Warsaw basis presented in [3].”
B-decay discrepancies after Moriond 2019 (2019, methodology): “(cf. [55]). In order to be sensitive to this possibly important eect, we will take the one-loop matching contributions to the SMEFT quark-dipole operators into account. These operators are dened as [79] [O dB] ij= (q i˙ d j)’B ; [O dW] ij= (q i˙ d j)˝ I’WI ; (29) [O dG] ij= (q i˙ TAd j)’G A : (30) 1”
Global approach to top-quark flavor-changing interactions (2014, background): “[68] in which there are no tensor operators:”
Constraining Effective Field Theories with Machine Learning. (2018, background): “A key component of this program is limits on the dimension-six operators of the SM effective field theory (SMEFT) [1,2].”
On the importance of electroweak corrections for B anomalies (2017, methodology): “[45] compared to previous studies was the construction of the lowenergy effective Lagrangian taking into account the running of the Wilson coefficients of a suitable operator basis [50, 51] and the matching conditions when mass thresholds are crossed.”
Matching of gauge invariant dimension-six operators for b → s and b → c transitions (2015, background): “[7], that contribute to b→ s or b→ c transitions at tree-level.”
The universal one-loop effective action (2015, positive): “With all the SM particle content now experimentally established, a popular way of encapsulating the possible indirect effects of new massive particles is via an EFT composed of SM fields [6, 7].”
The Dark Photon (2020, background): “…via the equations of motion, to four-fermion operators—which are accounted for in the effective field theory of the dimensionsix operators (Grzadkowski et al., 2010) but are not relevant for the massless dark photon interaction to ordinary matter—and to the form factors of the…”
Higgs Physics at the HL-LHC and HE-LHC (2019, methodology): “We focus on dimension-6 operators, and work to linear order in the Warsaw basis [41], so as to make a consistent EFT expansion to order O(Λ−2).”
Higgs boson pair production in the D = 6 extension of the SM (2014, background): “The full set of D = 6 operators that can be formed out of the SM field content was first obtained in [84] and reduced to a non-redundant minimal set in [85].”
A Bayesian view of the Higgs sector with higher dimensional operators (2013, methodology): “We refer to [17, 18] for further details on the Standard Model HDOs.”
Light top partners and precision physics (2013, positive): “In the effective Lagrangian describing the Higgs doublet and the SM fields only two dimension-six operators contribute to the corrections to the tL couplings [19, 78, 84, 87]:”