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@ARTICLE{Echeverri:307653,
      author       = {Echeverri, Alejandro Castedo and von Harling, Benedict and
                      Serone, Marco},
      title        = {{T}he {E}ffective {B}ootstrap},
      reportid     = {PUBDB-2016-03328, DESY-16-100. arXiv:1606.02771},
      year         = {2016},
      abstract     = {We study the numerical bounds obtained using a
                      conformal-bootstrap method - advocated in ref. [1] but never
                      implemented so far - where different points in the plane of
                      conformal cross ratios $z$ and $\bar z$ are sampled. In
                      contrast to the most used method based on derivatives
                      evaluated at the symmetric point $z=\bar z =1/2$, we can
                      consistently 'integrate out' higher-dimensional operators
                      and get a reduced simpler, and faster to solve, set of
                      bootstrap equations. We test this 'effective' bootstrap by
                      studying the 3D Ising and $O(n)$ vector models and bounds on
                      generic 4D CFTs, for which extensive results are already
                      available in the literature. We also determine the scaling
                      dimensions of certain scalar operators in the $O(n)$ vector
                      models, with $n=2,3,4$, which have not yet been computed
                      using bootstrap techniques.},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF3-611) /
                      DAMESYFLA - Electroweak Symmetry Breaking, Flavor and
                      DarkMatter: One Solution for Three Mysteries (267985)},
      pid          = {G:(DE-HGF)POF3-611 / G:(EU-Grant)267985},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25 / PUB:(DE-HGF)29},
      eprint       = {1606.02771},
      howpublished = {arXiv:1606.02771},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1606.02771;\%\%$},
      url          = {https://bib-pubdb1.desy.de/record/307653},
}