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Lorentz invariance in heavy particle effective theories

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abstract

Employing induced representations of the Lorentz group (Wigner's little group construction), formalism for constructing heavy particle effective Lagrangians is developed, and Lagrangian constraints enforcing Lorentz invariance of the S matrix are derived. The relationship between Lorentz invariance and reparameterization invariance is established and it is shown why a standard ansatz for implementing reparameterization invariance in heavy fermion effective Lagrangians breaks down at order 1/M^4. Formalism for fields of arbitrary spin and for self-conjugate fields is presented, and the extension to effective theories of massless fields is discussed.

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hep-ph 1

years

2025 1

verdicts

UNVERDICTED 1

representative citing papers

Radiative Semileptonic Decays of Beautiful Hadrons

hep-ph · 2025-12-04 · unverdicted · novelty 6.0

Within HQET, radiative semileptonic decay form factors for Lambda(b) to Lambda(c) and B to D(*) transitions are fully determined by non-radiative Isgur-Wise functions and heavy-hadron magnetic dipole moments in soft and sub-leading soft regions.

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  • Radiative Semileptonic Decays of Beautiful Hadrons hep-ph · 2025-12-04 · unverdicted · none · ref 28 · internal anchor

    Within HQET, radiative semileptonic decay form factors for Lambda(b) to Lambda(c) and B to D(*) transitions are fully determined by non-radiative Isgur-Wise functions and heavy-hadron magnetic dipole moments in soft and sub-leading soft regions.