Journal
NUCLEAR PHYSICS B
Volume 880, Issue -, Pages 552-573Publisher
ELSEVIER
DOI: 10.1016/j.nuclphysb.2014.01.018
Keywords
Electroweak chiral Lagrangian; Light Higgs; Effective field theory
Categories
Funding
- ERC Advanced Grant project 'FLAVOUR' [267104]
- DFG Cluster of Excellence 'Origin and Structure of the Universe'
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We consider the Standard Model, including a light scalar boson h, as an effective theory at the weak scale v = 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 Lambda is taken to be at 4 pi v 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(v(2)/Lambda(2)). 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. (C) 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/). Funded by SCOAP(3).
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