6533b831fe1ef96bd1299ae1

RESEARCH PRODUCT

Fingerprints of heavy scales in electroweak effective Lagrangians

Antonio PichJuan José Sanz-cilleroJoaquín SantosIgnasi Rosell

subject

Nuclear and High Energy PhysicsParticle physicsFísica-Modelos matemáticosHiggs PhysicsFOS: Physical sciences01 natural sciencesHigh Energy Physics - Phenomenology (hep-ph)0103 physical sciencesEffective field theoryFísica matemáticaPartículas (Física nuclear)lcsh:Nuclear and particle physics. Atomic energy. RadioactivityElectromagnetismoSymmetry breakingSinglet state010306 general physicsParticles (Nuclear physics)Huellas dactilares.PhysicsQuantum chromodynamics010308 nuclear & particles physicsHigh Energy Physics::PhenomenologyElectroweak interactionCromodinámica cuántica.Technicolor and Composite ModelsQuantum numberLagrangian functions.High Energy Physics - PhenomenologyFingerprints.Simetría (Física)Beyond Standard ModelChiral LagrangiansQuantum chromodynamics.Higgs bosonlcsh:QC770-798Chiral symmetry breakingSymmetry (Physics)Lagrange Funciones de.

description

The couplings of the electroweak effective theory contain information on the heavy-mass scales which are no-longer present in the low-energy Lagrangian. We build a general effective Lagrangian, implementing the electroweak chiral symmetry breaking $SU(2)_L\otimes SU(2)_R\to SU(2)_{L+R}$, which couples the known particle fields to heavier states with bosonic quantum numbers $J^P=0^\pm$ and $1^\pm$. We consider colour-singlet heavy fields that are in singlet or triplet representations of the electroweak group. Integrating out these heavy scales, we analyze the pattern of low-energy couplings among the light fields which are generated by the massive states. We adopt a generic non-linear realization of the electroweak symmetry breaking with a singlet Higgs, without making any assumption about its possible doublet structure. Special attention is given to the different possible descriptions of massive spin-1 fields and the differences arising from naive implementations of these formalisms, showing their full equivalence once a proper short-distance behaviour is required.

https://doi.org/10.1007/jhep04(2017)012