4.7 Article

S parameter in QCD from domain wall fermions

Journal

PHYSICAL REVIEW D
Volume 81, Issue 1, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.81.014504

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Funding

  1. STFC
  2. RCUK
  3. STFC [ST/F009658/1, ST/G000522/1] Funding Source: UKRI
  4. Science and Technology Facilities Council [ST/G000522/1, ST/F009658/1] Funding Source: researchfish

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We have computed the SU(2) low- energy constant l(5) and the mass splitting between charged and neutral pions from a lattice QCD simulation of n(f) = 2 + 1 flavors of domain wall fermions at a scale of a(-1) = 2.33 GeV. Relating l(5) to the S parameter in QCD we obtain a value of S(m(H) = 120 GeV) = 0.42(7), in agreement with previous determinations. Our result can be compared with the value of S from electroweak precision data which constrains strongly interacting models of new physics like technicolor. This work in QCD serves as a test for the methods to compute the S parameter with domain wall fermions in theories beyond the standard model. We also infer a value for the pion mass splitting in agreement with experiment.

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