Electroweak ${\eta }_{\mathrm{w}}$ meson

Abstract

We argue that the Standard Model is accompanied by a new pseudo-scalar degree of freedom, ${\eta }_{\mathrm{w}}$-meson, which cancels the topological susceptibility of the electroweak vacuum and gets its mass from this effect. The prediction is based on the analyticity properties of the Chern-Simons correlator combined with the basic features of gravity. Depending on the quality level of the $U(1{)}_{B+L}$-symmetry, ${\eta }_{\mathrm{w}}$ emerges as a $B+L$ pseudo-Goldstone boson or as a Stückelberg $2$-form of the electroweak gauge redundancy. An intriguing scenario of the first category is the emergence of ${\eta }_{\mathrm{w}}$ in the form of the phase of a $U(1{)}_{B+L}$-violating fermion condensate triggered by the instantons, somewhat similar to ${\eta }^{\prime }$-meson in QCD. Regardless of its origin, the presence of ${\eta }_{\mathrm{w}}$-meson in the theory appears to be a matter of consistency.

arXiv comment14 pages, published version

References in corpus (14)

• The String Landscape, Black Holes and Gravity as the Weakest Force
• Quantum Compositeness of Gravity: Black Holes, AdS and Inflation
• Quantum Break-Time of de Sitter
• Small neutrino masses from gravitational $\theta$-term
• Large Hierarchies from Attractor Vacua
• Cosmic Attractors and Gauge Hierarchy
• Topological Mass Generation in Four Dimensions
• A Vacuum Accumulation Solution to the Strong CP Problem
• On How Neutrino Protects the Axion
• Can Electro-Weak $\h$-Term be Observable ?
• The Myriad Uses of Instantons
• Gauge and gravitational instantons: From 3-forms and fermions to Weak Gravity and flat axion potentials
• On dual formulation of Axion solution to strong-CP problem
• Hint to Supersymmetry from GR Vacuum