2010
DOI: 10.1007/jhep10(2010)085
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Dimension-six terms in the Standard Model Lagrangian

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 op… Show more

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Cited by 2,030 publications
(2,745 citation statements)
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“…Irrespectively of the high-energy details of such SM extensions, when evolved down to an energy scale where QCD becomes non-perturbative, they give rise to several effective operators of mass dimension six. They are known as the quark EDM (qEDM), quark chromo-EDM (qCEDM), gluon chromo-EDM (gCEDM), and various fourquark interactions [6][7][8].…”
Section: Introductionmentioning
confidence: 99%
“…Irrespectively of the high-energy details of such SM extensions, when evolved down to an energy scale where QCD becomes non-perturbative, they give rise to several effective operators of mass dimension six. They are known as the quark EDM (qEDM), quark chromo-EDM (qCEDM), gluon chromo-EDM (gCEDM), and various fourquark interactions [6][7][8].…”
Section: Introductionmentioning
confidence: 99%
“…2 Here our dimension six basis is defined in such a way that (in renormalizable theories) the operators O F F , O W 3 are only generated pertubatively at the loop level while the other ones can potentially be generated at treelevel. This particularly convenient basis has been already used in [9], is discussed more formally in [10], and is consistent with the general basis presented in [11]. We display below only the operators which will feed into anomalous gauge couplings, or will be closely related to their study.…”
Section: The Effective Lagrangianmentioning
confidence: 89%
“…Above M QCD , strong interactions are described by the most general Lagrangian with Lorentz, color, and electromagnetic gauge invariance among the lightest quarks, gluons, and photons. The effectively dimension-six / P/ T terms at this scale can be written as [12,13,14,15]…”
Section: P -And T -Violating Chiral Lagrangianmentioning
confidence: 99%
“…in terms of a dimensionless parameter w. The fourth and fifth operators [14,15] are / P/ T FQ operators, with coefficients…”
Section: P -And T -Violating Chiral Lagrangianmentioning
confidence: 99%