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The Chiral Lagrangian of CP-Violating Axion-Like Particles
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abstract
We discuss the construction of the most general CP-violating chiral Lagrangian for an axion-like particle (ALP). Starting with an effective Lagrangian containing light quarks and gluons, we provide its matching onto a chiral effective Lagrangian at $\mathcal{O}(p^2)$ described in terms of mesons and baryons, identifying the correspondence between the Jarlskog invariants of the two theories. After deriving the ALP interactions with mesons and baryons, we analyse a few relevant phenomenological implications such as the permanent electric dipole moments of nucleons and the CP-violating ALP and kaon decays.This work provides the necessary tools for further phenomenological analyses connecting low-energy observables with the couplings of the underlying ultraviolet complete theory.
Forward citations
Cited by 3 Pith papers
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ALP pair production at the LHC
Non-resonant gg→aa→4γ production could constrain the dimension-6 ALP-gluon coupling down to ~10^-3 TeV^-2 at 300 fb^-1, but the allowed parameter space remains unbounded along multiple flat directions.
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Positivity and partial wave unitarity bounds on ALP theories via amplitude methods
Complete partial-wave unitarity and positivity bounds are derived for ALP effective interactions up to dimension 8, with new SMEFT positivity constraints as a byproduct.
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Constraining ALP-Top Interaction from the Chromoelectric Dipole Moment of the Top Quark
The paper derives the one- and two-loop top quark CEDM induced by a CP-violating ALP at q^2 = m_t^2 and uses it to set new bounds on the ALP-top coupling, with the neutron EDM giving the strongest of the three new limits.
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