Patterns of Deviation from the Standard Model

Abstract

Effective Lagrangians can be used to parametrize the effects of physics beyond the standard model. Assuming the complete theory is a gauge theory, we determine which effective operators may be generated at tree level, and which are only generated at loop level. The latter are be suppressed by factors of $1/16{\pi }^2$ and will therefore be quite difficult to detect. In particular, all operators changing the Standard-Model structure of the triple-gauge-vector couplings fall into this category. We also point out that in certain cases, dimension-eight operators may be more important than dimension-six operators. We discuss both the linear and non-linear representation of the Higgs sector.

37 pages, UM-TH-94-15. Four figures and one table are embedded in text. This file requires as inputs epsf.tex and the IAS version of phyzzx.tex. The complete manuscript is available as a postscript file via anonymous FTP to williams.physics.lsa.umich.edu. It is called deviation.ps in the /pub subdirectory. (Modified to add a table and to make minor corrections.)

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• Generalized Dimensional Analysis
• The Electroweak Chiral Lagrangian and New Precision Measurements
• The Electroweak Chiral Lagrangian for the Standard Model with a Heavy Higgs
• Effective Field Theory of Anomalous Gauge-Boson Couplings at High-Energy pp Colliders
• One Loop Effects of Non-Standard Triple Gauge Boson Vertices
• Non-Standard Gauge-Boson Self-Interactions within a Gauge Invariant Model

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