Complete electroweak chiral Lagrangian with a light Higgs at NLO
By G. Buchalla, O. Catà, C. Krause. 2013
293 citations recorded by the source corpus.
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 Λ is taken to be at 4 π 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 / Λ 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.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/9cab62403da518735647695aa3d4fac7de062796
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In Nuclear and High Energy Physics
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Citations in the corpus
- Higgs Physics at the HL-LHC and HE-LHC (2019, background): “This Lagrangian, taken in isolation, leads to a theory with a parametrically low cutoff: it has therefore to be thought as part of a bigger EFT: the EWChL [188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205].”
- Geometry of the scalar sector (2016, unknown): “24) are the NLO operators [45–49].”
- Renormalization group evolution of the Standard Model dimension six operators III: gauge coupling dependence and phenomenology (2013, unknown): “There are other alternatives being investigated, such as a nonlinearly realized SU(2)L × U(1)Y gauge symmetry in the scalar sector with a light scalar h: see [3–7] and references therein.”
- Low-energy effective field theory below the electroweak scale: anomalous dimensions (2017, background): “dipole operators are only suppressed by one power of 1/Λ [11, 13], and the operators have”