Directions for model building from asymptotic safety

A bstractBuilding on recent advances in the understanding of gauge-Yukawa theories we explore possibilities to UV-complete the Standard Model in an asymptotically safe manner. Minimal extensions are based on a large flavor sector of additional fermions coupled to a scalar singlet matrix field. We find that asymptotic safety requires fermions in higher representations of SU(3)C × SU(2)L. Possible signatures at colliders are worked out and include R-hadron searches, diboson signatures and the evolution of the strong and weak coupling constants.

[1]  S. M. Etesami,et al.  Search for high-mass diphoton resonances in proton-proton collisions at 13 TeV and combination with 8 TeV search , 2017 .

[2]  M. Strassler,et al.  Probing colored particles with photons, leptons, and jets , 2012, 1204.1119.

[3]  J. Walsh,et al.  Running electroweak couplings as a probe of new physics , 2014, 1410.6810.

[4]  Atlas Collaboration,et al.  Searches for heavy diboson resonances in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector , 2016, 1606.04833.

[5]  Marco Farina,et al.  Energy helps accuracy: Electroweak precision tests at hadron colliders , 2016, 1609.08157.

[6]  C. Csáki,et al.  The Minimal Set of Electroweak Precision Parameters , 2006, hep-ph/0604111.

[7]  Mingxing Luo,et al.  Two-loop renormalization group equations in general gauge field theories , 2002, hep-ph/0211440.

[8]  D. Litim,et al.  Vacuum stability of asymptotically safe gauge-Yukawa theories , 2015, 1501.03061.

[9]  Isabelle Wingerter-Seez,et al.  Search for heavy long-lived charged R-hadrons with the ATLAS detector in 3.2 fb-1 of proton–proton collision data at s=13 TeV , 2016 .

[10]  P. Cai,et al.  Reliable Perturbative Results for Strong Interactions ? , 2011 .

[11]  B. Gravitons,et al.  Asymptotic safety guaranteed , 2014 .

[12]  J. Gunion,et al.  The Higgs Hunter's Guide , 1990 .

[13]  T. Banks,et al.  On the phase structure of vector-like gauge theories with massless fermions , 1982 .

[14]  On the Future High Energy Colliders , 2015, 1509.08369.

[15]  J. Abdallah,et al.  ATLAS draft , 2012 .

[16]  A. Strumia,et al.  Totally asymptotically free trinification , 2015, 1507.06848.

[17]  Mikhail Dubinin,et al.  Search for long-lived charged particles in proton-proton collisions at √s = 13 TeV , 2016 .

[18]  Daniel F. Litim,et al.  Renormalization group and the Planck scale , 2011, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[19]  Christoph Rahmede,et al.  Further evidence for asymptotic safety of quantum gravity , 2014, 1410.4815.

[20]  N. Chang.  Eigenvalue conditions and asymptotic freedom for Higgs-scalar gauge theories , 1974 .

[21]  A. Martin,et al.  Parton distributions for the LHC , 2009, 0901.0002.

[22]  Riccardo Barbieri,et al.  Electroweak symmetry breaking after LEP1 and LEP2 , 2004, hep-ph/0405040.

[23]  Crystal Ball: On the Future High Energy Colliders , 2015, 1511.01934.

[24]  A. Djouadi.  The anatomy of electroweak symmetry breaking Tome II: The Higgs bosons in the Minimal Supersymmetric Model , 2005, hep-ph/0503173.

[25]  W. E. Caswell.  Asymptotic Behavior of Non-Abelian Gauge Theories to Two-Loop Order , 1974 .

[26]  Alan D. Martin,et al.  Review of Particle Physics , 2014 .

[27]  M. Strassler,et al.  Resonances from QCD bound states and the 750 GeV diphoton excess , 2016, 1602.08819.

[28]  Nicola De Filippis,et al.  Electroweak measurements in electron positron collisions at W-boson-pair energies at LEP , 2013 .

[29]  Christoph Rahmede,et al.  A bootstrap towards asymptotic safety , 2013 .

[30]  Daniel F. Litim,et al.  Theorems for asymptotic safety of gauge theories , 2016, 1608.00519.

[31]  K. Wilson.  Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture , 1971 .

[32]  D. Gross,et al.  Price of asymptotic freedom , 1973 .

[33]  F. Wilczek,et al.  Ultraviolet Behavior of Non-Abelian Gauge Theories , 1973 .

[34]  D. d’Enterria.  Physics at the FCC-ee , 2016, 1602.05043.

[35]  P. Azzurri.  Results from CMS and ATLAS: Electroweak Symmetry, Breaking and Beyond , 2016 .

[36]  M. T. Vaughn,et al.  Two-loop renormalization group equations in a general quantum field theory: (III). Scalar quartic couplings , 1984 .

[37]  Marco Rossini,et al.  Search for dijet resonances in proton–proton collisions at √s=13TeV and constraints on dark matter and other models , 2017 .

[38]  C. Jessop,et al.  Measurement of the inclusive 3-jet production differential cross section in proton–proton collisions at 7 TeV and determination of the strong coupling constant in the TeV range , 2014, The European physical journal. C, Particles and fields.

[39]  S. Chatrchyan.  Measurements of differential jet cross sections in proton-proton collisions , 2013 .

[40]  S. Weinberg.  Ultraviolet divergences in quantum theories of gravitation. , 1980 .

[41]  Jing Ren,et al.  Stable Asymptotically Free Extensions (SAFEs) of the Standard Model , 2014, 1412.5540.

[42]  Search for a heavy scalar boson decaying into a pair of Z bosons in the 2 ` 2 ν final state The CMS Collaboration , 2016 .

[43]  Softened gravity and the extension of the standard model up to infinite energy , 2014, 1412.2769.

[44]  P. Langacker,et al.  String consistency, heavy exotics, and the 750 GeV diphoton excess at the LHC , 2015, 1512.07622.

[45]  M. T. Vaughn,et al.  Two Loop Renormalization Group Equations in a General Quantum Field Theory. 1. Wave Function Renormalization , 1983 .

[46]  A. Djouadi.  The Anatomy of electro-weak symmetry breaking. I: The Higgs boson in the standard model , 2005, hep-ph/0503172.