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On the validity of the effective field theory approach to SM precision tests

Journal of High Energy Physics volume 2016, Article number: 144 (2016) Cite this article

A preprint version of the article is available at arXiv.

Abstract

We discuss the conditions for an effective field theory (EFT) to give an adequate low-energy description of an underlying physics beyond the Standard Model (SM). Starting from the EFT where the SM is extended by dimension-6 operators, experimental data can be used without further assumptions to measure (or set limits on) the EFT parameters. The interpretation of these results requires instead a set of broad assumptions (e.g. power counting rules) on the UV dynamics. This allows one to establish, in a bottom-up approach, the validity range of the EFT description, and to assess the error associated with the truncation of the EFT series. We give a practical prescription on how experimental results could be reported, so that they admit a maximally broad range of theoretical interpretations. Namely, the experimental constraints on dimension-6 operators should be reported as functions of the kinematic variables that set the relevant energy scale of the studied process. This is especially important for hadron collider experiments where collisions probe a wide range of energy scales.

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Authors and Affiliations

  1. Institut de Théorie des Phénomenes Physiques, EPFL, Lausanne, Switzerland

    Roberto Contino

  2. Theoretical Physics Department, CERN, Geneva, Switzerland

    Roberto Contino, Florian Goertz & Francesco Riva

  3. Laboratoire de Physique Théorique, Bat. 210, Université Paris-Sud, 91405, Orsay, France

    Adam Falkowski

  4. DESY, Notkestrasse 85, D-22607, Hamburg, Germany

    Christophe Grojean

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  1. Roberto Contino
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Correspondence to Francesco Riva.

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ArXiv ePrint: 1604.06444

On leave of absence from: Università di Roma La Sapienza and INFN, Roma, Italy. (Roberto Contino)

On leave of absence from: ICREA, E-08010 Barcelona, Spain. (Christophe Grojean)

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Contino, R., Falkowski, A., Goertz, F. et al. On the validity of the effective field theory approach to SM precision tests. J. High Energ. Phys. 2016, 144 (2016). https://doi.org/10.1007/JHEP07(2016)144

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Keywords

  • Beyond Standard Model
  • Effective field theories
  • Technicolor and Composite Models