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Lorentz and CPT violation in hadronic physics must be tied to symmetry violations at the underlying quark and gluon level. Chiral perturbation theory provides a method for translating novel operators that may appear in the Lagrange density for color-charged parton fields into equivalent forms for effective theories at the meson and baryon levels. We extend the application of this technique to the study of Lorentzviolating and potentially CPT-violating operators from the minimal standard model extension. For dimension-4 operators, there are nontrivial relations between the coefficients of baryon-level operators related to underlying quark and gluon operators with the same Lorentz structures. Moreover, in the mapping of the dimension-3 operators from the quark and gluon level to the hadron level (considered here for the first time), many of the hadronic observables contain no new low-energy coupling constants at all, which makes it possible to make direct translations of bounds derived using experiments on one kind of hadron into bounds in a completely different corner of the hadronic sector. A notable consequence of this is bounds (at 10−15 − 10−20 GeV levels) on differences aμ B − aμ B0 of Lorentz and CPT violation coefficients for SUð3Þf octet baryons that differ in their structure by the replacement of a single valance d quark by a s quark. Never before has there been any proposal for how these kinds of differences could be constrained.

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APA Citation

Altschul, B., & Schindler, M. R. (2019).Lorentz- and C P T -Violating Standard Model Extension in Chiral Perturbation Theory. Physical Review D, 100(7), 075031.

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