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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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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3 .

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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