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Renormalisation group invariants from scaling and non-overlapping symmetries.

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Τίτλος: Renormalisation group invariants from scaling and non-overlapping symmetries.
Συγγραφείς: Pilaftsis, Apostolos1 (AUTHOR) apostolos.pilaftsis@manchester.ac.uk
Πηγή: Journal of High Energy Physics. Aug2026, Vol. 2026 Issue 8, p1-24. 24p.
Θεματικοί όροι: *Renormalization group, *Scale invariance (Statistical physics), *Scalar field theory, *Bilinear forms
Περίληψη: We show how the synergy of scaling and non-overlapping global symmetries can lead to Renormalisation Group Invariants (RGIs) among the parameters of potentials with multiple scalars. The instrumental role of scale-invariant field directions in the identification and construction of RGIs for bilinear field operators to all loops is demonstrated. We present a few illustrative examples to showcase our constructive spurion-field approach, which is applied to simple non-supersymmetric models as well as to scenarios reported recently in the literature that include the two-Higgs doublet model. The problematic issues of RGIs to address the gauge-hierarchy problem beyond supersymmetry are discussed. [ABSTRACT FROM AUTHOR]
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  – Url: https://dx.doi.org/doi:10.1007/JHEP08%282026%29039
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  – Url: https://resolver.ebsco.com/c/fiv2js/result?sid=EBSCO:asx&genre=article&issn=11266708&ISBN=&volume=2026&issue=8&date=20260801&spage=1&pages=1-24&title=Journal of High Energy Physics&atitle=Renormalisation%20group%20invariants%20from%20scaling%20and%20non-overlapping%20symmetries.&aulast=Pilaftsis%2C%20Apostolos&id=DOI:10.1007/JHEP08(2026)039
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  Data: Renormalisation group invariants from scaling and non-overlapping symmetries.
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  Data: <searchLink fieldCode="AR" term="%22Pilaftsis%2C+Apostolos%22">Pilaftsis, Apostolos</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> apostolos.pilaftsis@manchester.ac.uk</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+High+Energy+Physics%22">Journal of High Energy Physics</searchLink>. Aug2026, Vol. 2026 Issue 8, p1-24. 24p.
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– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We show how the synergy of scaling and non-overlapping global symmetries can lead to Renormalisation Group Invariants (RGIs) among the parameters of potentials with multiple scalars. The instrumental role of scale-invariant field directions in the identification and construction of RGIs for bilinear field operators to all loops is demonstrated. We present a few illustrative examples to showcase our constructive spurion-field approach, which is applied to simple non-supersymmetric models as well as to scenarios reported recently in the literature that include the two-Higgs doublet model. The problematic issues of RGIs to address the gauge-hierarchy problem beyond supersymmetry are discussed. [ABSTRACT FROM AUTHOR]
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      – Type: doi
        Value: 10.1007/JHEP08(2026)039
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      – Code: eng
        Text: English
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        PageCount: 24
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      – SubjectFull: Renormalization group
        Type: general
      – SubjectFull: Scale invariance (Statistical physics)
        Type: general
      – SubjectFull: Scalar field theory
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      – SubjectFull: Bilinear forms
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            – D: 01
              M: 08
              Text: Aug2026
              Type: published
              Y: 2026
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