Scales of Fermion Mass Generation and Electroweak Symmetry Breaking

Abstract

The scale of mass generation for fermions (including neutrinos) and the scale for electroweak symmetry breaking (EWSB) can be bounded from above by the unitarity of scattering involving longitudinal weak gauge bosons or their corresponding would-be Goldstone bosons. Including the exact n-body phase space we analyze the 2 --> n ($n\ge 2$) processes for the fermion-(anti)fermion scattering into multiple gauge boson final states. Contrary to naive energy power counting, we demonstrate that as $n$ becomes large, the competition between an increasing energy factor and a phase-space suppression leads to a {\it strong new upper bound} on the scale of fermion mass generation at a finite value $n=n_s$, which is {\it independent of the EWSB scale,} $v=(\sqrt{2}{G}_F{)}^{-1/2}$. For quarks, leptons and Majorana neutrinos, the strongest 2 --> n limits range from about 3TeV to 130-170TeV (with $2\lesssim n_s\lesssim 24$), depending on the measured fermion masses. Strikingly, given the tiny neutrino masses as constrained by the neutrino oscillations, neutrinoless double-beta decays and astrophysical observations, the unitarity violation of ${\nu }_L{\nu }_L\to n{W}_L^a$ scattering actually occurs at a scale no higher than ~170 TeV. Implications for various mechanisms of neutrino mass generation are analyzed. On the other hand, for the 2 --> n pure Goldstone-boson scattering, we find that the decreasing phase space factor always dominates over the growing overall energy factor when $n$ becomes large, so that the best unitarity bound on the scale of EWSB remains at n=2.

arXiv comment67pp, to match PRD (minor typos fixed)

References in corpus (100)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• A Large Mass Hierarchy from a Small Extra Dimension
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• The Hierarchy Problem and New Dimensions at a Millimeter
• Evidence for oscillation of atmospheric neutrinos
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• Limits on Neutrino Oscillations from the CHOOZ Experiment
• Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
• Electroweak symmetry breaking from dimensional deconstruction
• The Littlest Higgs
• Measurement of Day and Night Neutrino Energy Spectra at SNO and Constraints on Neutrino Mixing Parameters
• Strong Dynamics and Electroweak Symmetry Breaking
• Indications of Neutrino Oscillation in a 250 km Long-baseline Experiment
• (De)Constructing Dimensions
• Measurements of the Solar Neutrino Flux from Super-Kamiokande's First 300 Days
• Initial Results from the CHOOZ Long Baseline Reactor Neutrino Oscillation Experiment
• Status of global fits to neutrino oscillations
• Extra Spacetime Dimensions and Unification
• Tau Neutrinos Favored over Sterile Neutrinos in Atmospheric Muon Neutrino Oscillations
• Grand Unification at Intermediate Mass Scales through Extra Dimensions
• The Minimal Moose for a Little Higgs
• Evidence for nu_mu -> nu_e Neutrino Oscillations from LSND
• Topcolor Assisted Technicolor
• Constraints on Neutrino Oscillations Using 1258 Days of Super-Kamiokande Solar Neutrino Data
• Evidence for an oscillatory signature in atmospheric neutrino oscillation
• Latest Results from the Heidelberg-Moscow Double Beta Decay Experiment
• Search for neutrinoless double beta decay with enriched 76Ge in Gran Sasso 1990-2003
• Evidence for Neutrinoless Double Beta Decay
• Double Beta Decay
• Cosmological Sign of Neutrino CP Violation
• Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes
• Constraints on neutrino oscillation parameters from the measurement of day-night solar neutrino fluxes at Super-Kamiokande
• Neutrino Masses and Mixing: Evidence and Implications
• Final results from the Palo Verde Neutrino Oscillation Experiment
• Little Higgses from an Antisymmetric Condensate
• A Precision Measurement of the Mass of the Top Quark
• Measurement of electron-neutrino electron elastic scattering
• Top Quark Seesaw Theory of Electroweak Symmetry Breaking
• Electroweak Symmetry Breaking via Top Condensation Seesaw
• Double Beta Decay
• Search for Neutrino Oscillations at the Palo Verde Nuclear Reactors
• The Little Higgs from a Simple Group
• Models of Neutrino Masses and Mixings
• Detection of Accelerator-Produced Neutrinos at a Distance of 250 km
• Naturally Small Seesaw Neutrino Mass with No New Physics Beyond the TeV Scale
• Neutrino masses and the number of neutrino species from WMAP and 2dFGRS
• Small Neutrino Masses from Supersymmetry Breaking
• Phenomenology of Electroweak Symmetry Breaking from Theory Space
• Unitarity of Compactified Five Dimensional Yang-Mills Theory
• A new upper limit on the total neutrino mass from the 2dF Galaxy Redshift Survey
• A "Littlest Higgs" Model with Custodial SU(2) Symmetry
• The Supersymmetric Flavor Problem
• Top quark condensation
• Little Higgs and Custodial SU(2)
• Top Quark Seesaw, Vacuum Structure and Electroweak Precision Constraints
• Progress in the physics of massive neutrinos
• Comment on "Evidence for Neutrinoless Double Beta Decay"
• Ruling out four-neutrino oscillation interpretations of the LSND anomaly?
• Unitarity of the Higher Dimensional Standard Model
• Neutrino Masses in Theories with Dynamical Electroweak Symmetry Breaking
• Dynamical Symmetry Breaking of Extended Gauge Symmetries
• τ- μFlavor Violation as a Probe of the Scale of New Physics
• TeV scale resonant leptogenesis from supersymmetry breaking
• Upper limits on neutrino masses from the 2dFGRS and WMAP: the role of priors
• Phenomenology of the Neutrino-Mass-Giving Higgs Triplet and the Low-Energy Seesaw Violation of Lepton Number
• Structure of Cosmological CP Violation via Neutrino Seesaw
• Neutrino Masses from Cosmological Probes
• The systematic study of $B\to \pi$ form factors in pQCD approach and its reliability
• Collider Tests of Compact Space Dimensions Using Weak Gauge Bosons
• Unitarity of Little Higgs Models Signals New Physics of UV Completion
• The Equivalence Theorem And Its Radiative-Correction-Free Formulation For All R_xi Gauges
• An Extended Technicolor Model
• Equivalence Theorem and Probing the Electroweak Symmetry Breaking Sector
• Proof of the Equivalence Theorem in the Chiral Lagrangian Formalism
• Minimal Schemes for Large Neutrino Mixings with Inverted Hierarchy
• Estimating The Sensitivity Of The LHC To Electroweak Symmetry Breaking: Longitudinal-Goldstone Boson Equivalence As A Criterion
• Search for Electron Neutrino Appearance in a 250 km Long-baseline Experiment
• On the Equivalence Theorem in the $\chi PT$ Description of the Symmetry Breaking Sector of the Standard Model
• Testing neutrino mass matrices with approximate L_e-L_mu-L_tau symmetry
• Electron Antineutrino Search at the Sudbury Neutrino Observatory
• Cosmological neutrinos
• MiniBooNE: Status of the Booster Neutrino Experiment
• Scale of fermion mass generation
• Dyson summation without violating Ward identities and the Goldstone-boson equivalence theorem
• Cosmological limit on the neutrino mass
• Upper bound on the scale of Majorana-neutrino mass generation
• Dynamical Electroweak Symmetry Breaking by a Neutrino Condensate
• A Simple Model of Neutrino Masses from Supersymmetry Breaking
• Physics of Neutrino Mass
• Global Power Counting Analysis On Probing Electroweak Symmetry Breaking Mechanism At High Energy Colliders
• Naturally Degenerate Right Handed Neutrinos
• MiniBooNE and Sterile Neutrinos
• Search for Neutrinoless tau Decays Involving the K_S^0 Meson
• The Equivalence Theorem and infrared divergences
• Global anomalies and the gauge-boson equivalence theorem
• Top Quark Mass Measurements at CDF
• Search for Neutrinoless Tau Decays Involving the K0 Meson

Cited by in corpus (53)

• Probing New Physics of Cubic Higgs Interaction via Higgs Pair Production at Hadron Colliders
• Which EFT
• Constraining the Charm Yukawa and Higgs-quark Coupling Universality
• Preheating after multifield inflation with nonminimal couplings, III: Dynamical spacetime results
• Remarks on Higgs Inflation
• Higgs Gravitational Interaction, Weak Boson Scattering, and Higgs Inflation in Jordan and Einstein Frames
• Stabilizing Electroweak Vacuum in a Vector-like Fermion Model
• Unanswered Questions in the Electroweak Theory
• Gravitational Interaction of Higgs Boson and Weak Boson Scattering
• Probing New Physics Scales from Higgs and Electroweak Observables at $e^{+}{e}^{-}$ Higgs Factory
• Gedanken Worlds without Higgs: QCD-Induced Electroweak Symmetry Breaking
• Beyond dimensional analysis: Higgs and new Higgs inflations {\it do not} violate unitarity
• Probing Neutral Triple Gauge Couplings at the LHC and Future Hadron Colliders
• Majorana Neutrinos in Same-Sign $W^{\pm }{W}^{\pm }$ Scattering at the LHC: Breaking the TeV Barrier
• Bounds on non-adiabatic evolution in single-field inflation
• The study of neutral triple gauge couplings in the process $e^{+}{e}^{-}\to Z\gamma$ including unitarity bounds
• Scales of Mass Generation for Quarks, Leptons and Majorana Neutrinos
• LHC Search of New Higgs Boson via Resonant Di-Higgs Production with Decays into 4W
• Multi-Higgs Production and Unitarity in Vector-Boson Fusion at Future Hadron Colliders
• Light quark Yukawas in triboson final states
• Deriving the mass of particles from Extended Theories of Gravity in LHC era
• Higgs Coupling Measurements and the Scale of New Physics
• Asymptotic Scale Invariance and its Consequences
• Structure of Chern-Simons Scattering Amplitudes from Topological Equivalence Theorem and Double-Copy
• Detecting interactions between dark matter and photons at high energy $e^{+}{e}^{-}$ colliders
• Probing Neutral Triple Gauge Couplings with $Z^{\ast }\gamma (\nu \bar{\nu }\gamma )$ Production at Hadron Colliders
• Asymptotically safe weak interactions
• Multi Higgs and Vector boson production beyond the Standard Model
• Unitarity constraints on top quark signatures of Higgsless models
• The UV Fate of Anomalous $U(1)$s and the Swampland
• Supersymmetry for Fermion Masses
• Testing Effective Yukawa Couplings in Higgs Searches at the Tevatron and LHC
• Primary Observables for Top Quark Collider Signals
• Probing Gravitational Dark Matter
• Probing the Higgs boson through Yukawa force
• Unitary Standard Model from Spontaneous Dimensional Reduction and Weak Boson Scattering at the LHC
• Unitarity Bounds for New Physics from Axial Coupling at LHC
• Doubly Charged Higgs Boson Production at Hadron Colliders II: A Zee-Babu Case Study
• Higgs boson to $\gamma Z$ decay as a probe of flavour changing neutral Yukawa couplings
• Anomalous Higgs-boson coupling effects in HWW production at the LHC
• Unitarity and Bounds on the Scale of Fermion Mass Generation
• Precise test of Higgs properties via triple Higgs production in VBF at future colliders
• Spontaneous Spacetime Reduction and Unitary Weak Boson Scattering at the LHC
• An alternative view on the electroweak interactions
• Probe Charm Yukawa at the future $e^{-}p$ and $e^{+}{e}^{-}$ colliders
• Like-sign Di-lepton Signals in Higgsless Models at the LHC
• Constraints on $\tau$ electromagnetic moments via tau pair production at the Muon colliders
• Topological Equivalence Theorem and Double-Copy for Chern-Simons Scattering Amplitudes
• Prospects for three-body Higgs boson decays into extra light scalars
• Scalar and fermion on-shell amplitudes in generalized Higgs effective field theory
• Perturbative unitarity constraints on generic Yukawa interactions
• Probing Neutral Triple Gauge Couplings via $ZZ$ Production at $e^{+}{e}^{-}$ Colliders with Machine Learning
• Low energy theorems and the unitarity bounds in the extra U(1) superstring inspired E6 models