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High Energy Physics - Phenomenology

arXiv:1610.09618 (hep-ph)
[Submitted on 30 Oct 2016]

Title:Field reparametrization in effective field theories

Authors:Giampiero Passarino (Turin U. & INFN, Turin)
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Abstract:Debate topic for Effective Field Theory (EFT) is the choice of a "basis" for $\mrdim = 6$ operators Clearly all bases are equivalent as long as they are a "basis", containing a minimal set of operators after the use of equations of motion and respecting gauge invariance. From a more formal point of view a basis is characterized by its closure with respect to renormalization. Equivalence of bases should always be understood as a statement for the S-matrix and not for the Lagrangian, as dictated by the equivalence theorem. Any phenomenological approach that misses one of these ingredients is still acceptable for a preliminar analysis, as long as it does not pretend to be an EFT. Here we revisit the equivalence theorem and its consequences for EFT when two sets of higher dimensional operators are connected by a set of non-linear, noninvariant, field reparametrizations.
Comments: 15 pages, 11 figures
Subjects: High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:1610.09618 [hep-ph]
  (or arXiv:1610.09618v1 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1610.09618

Submission history

From: Giampiero Passarino [view email]
[v1] Sun, 30 Oct 2016 08:59:14 UTC (87 KB)
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