Article ID Journal Published Year Pages File Type
1840699 Nuclear Physics B 2014 22 Pages PDF
Abstract

We consider the Standard Model, including a light scalar boson h  , as an effective theory at the weak scale v=246 GeVv=246 GeV of some unknown dynamics of electroweak symmetry breaking. This dynamics may be strong, with h emerging as a pseudo-Goldstone boson. The symmetry breaking scale Λ   is taken to be at 4πv4πv or above. We review the leading-order Lagrangian within this framework, which is nonrenormalizable in general. A chiral Lagrangian can then be constructed based on a loop expansion. A systematic power counting is derived and used to identify the classes of counterterms that appear at one loop order. With this result the complete Lagrangian is constructed at next-to-leading order, O(v2/Λ2)O(v2/Λ2). This Lagrangian is the most general effective description of the Standard Model containing a light scalar boson, in general with strong dynamics of electroweak symmetry breaking. Scenarios such as the SILH ansatz or the dimension-6 Lagrangian of a linearly realized Higgs sector can be recovered as special cases.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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