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Low-energy effective field theory below the electroweak scale: operators and matching
Ist Teil von
The journal of high energy physics, 2018-03, Vol.2018 (3), p.1-45, Article 16
Ort / Verlag
Berlin/Heidelberg: Springer Berlin Heidelberg
Erscheinungsjahr
2018
Link zum Volltext
Quelle
Free E-Journal (出版社公開部分のみ）
Beschreibungen/Notizen
A
bstract
The gauge-invariant operators up to dimension six in the low-energy effective field theory below the electroweak scale are classified. There are 70 Hermitian dimension-five and 3631 Hermitian dimension-six operators that conserve baryon and lepton number, as well as Δ
B
= ±Δ
L
= ±1, Δ
L
= ±2, and Δ
L
= ±4 operators. The matching onto these operators from the Standard Model Effective Field Theory (SMEFT) up to order 1
/
Λ
2
is computed at tree level. SMEFT imposes constraints on the coefficients of the low-energy effective theory, which can be checked experimentally to determine whether the electroweak gauge symmetry is broken by a single fundamental scalar doublet as in SMEFT. Our results, when combined with the one-loop anomalous dimensions of the low-energy theory and the one-loop anomalous dimensions of SMEFT, allow one to compute the low-energy implications of new physics to leading-log accuracy, and combine them consistently with high-energy LHC constraints.