Integrating out heavy particles with functional methods: a simplified framework (original) (raw)

Abstract

We present a systematic procedure to obtain the one-loop low-energy effective Lagrangian resulting from integrating out the heavy fields of a given ultraviolet theory. We show that the matching coefficients are determined entirely by the hard region of the functional determinant involving the heavy fields. This represents an important simplification with respect the conventional matching approach, where the full and effective theory contributions have to be computed separately and a cancellation of the infrared divergent parts has to take place. We illustrate the method with a descriptive toy model and with an extension of the Standard Model with a heavy real scalar triplet. A comparison with other schemes that have been put forward recently is also provided.

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  1. Instituto de Física Corpuscular, CSIC — Universitat de València, Apt. Correus 22085, E-46071, València, Spain
    Javier Fuentes-Martín & Jorge Portolés
  2. Physik Department T31, James-Franck-Straße, Technische Universität München, D-85748, Garching, Germany
    Pedro Ruiz-Femenía

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  1. Javier Fuentes-Martín
  2. Jorge Portolés
  3. Pedro Ruiz-Femenía

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Correspondence toJavier Fuentes-Martín.

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Fuentes-Martín, J., Portolés, J. & Ruiz-Femenía, P. Integrating out heavy particles with functional methods: a simplified framework.J. High Energ. Phys. 2016, 156 (2016). https://doi.org/10.1007/JHEP09(2016)156

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