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Effective Field Theory with Nambu-Goldstone Modes

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arxiv 1804.05664 v2 pith:GROPQIKW submitted 2018-04-16 hep-ph hep-th

Antonio Pich This is my paper · ORCID
classification hep-phhep-th
keywords effectivetheorylow-energycouplingsdynamicalelectroweakfieldmethods
verification ladder T0 review T1 audit T2 compute T3 formal
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These lectures provide an introduction to the low-energy dynamics of Nambu-Goldstone fields, associated with some spontaneous (or dynamical) symmetry breaking, using the powerful methods of effective field theory. The generic symmetry properties of these massless modes are described in detail and two very relevant phenomenological applications are worked out: chiral perturbation theory, the low-energy effective theory of QCD, and the (non-linear) electroweak effective theory. The similarities and differences between these two effective theories are emphasized, and their current status is reviewed. Special attention is given to the short-distance dynamical information encoded in the low-energy couplings of the effective Lagrangians. The successful methods developed in QCD could help us to uncover fingerprints of new physics scales from future measurements of the electroweak effective theory couplings.

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Cited by 2 Pith papers

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  1. Vector-like quark doublets, weak-basis invariants and CP violation

    hep-ph 2024-12 conditional novelty 7.0 of 10

    Vector-like quark doublets allow CP violation in weak-basis invariants of mass dimension six; the resulting framework organizes the model's parameters, gives the complete CP-odd invariant set for one doublet, and link...

  2. A Non-linear Representation of General Scalar Extensions of the Standard Model for HEFT Matching

    hep-ph 2024-11 conditional novelty 6.0 of 10

    The paper constructs a non-linear 'U representation' that separates Goldstone bosons from heavy scalars, enabling straightforward tree-level HEFT matching for general scalar extensions and giving explicit formulas for...

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