# Global anomalies in the Standard Model(s) and beyond

@article{Davighi2020GlobalAI, title={Global anomalies in the Standard Model(s) and beyond}, author={Joe Davighi and B. M. Gripaios and Nakarin Lohitsiri}, journal={Journal of High Energy Physics}, year={2020}, volume={2020}, pages={1-51} }

We analyse global anomalies and related constraints in the Standard Model (SM) and various Beyond the Standard Model (BSM) theories. We begin by considering four distinct, but equally valid, versions of the SM, in which the gauge group is taken to be G = G SM /Γ n , with G SM = SU(3) × SU(2) × U(1) and Γ n isomorphic to ℤ/ n where n ∈ {1, 2, 3, 6}. In addition to deriving constraints on the hypercharges of fields transforming in arbitrary representations of the SU(3) × SU(2) factor, we study… Expand

#### Figures and Tables from this paper

#### 27 Citations

Anomaly interplay in U(2) gauge theories

- Physics
- 2020

We discuss anomaly cancellation in U(2) gauge theories in four dimensions. For a U(2) gauge theory defined with a spin structure, the vanishing of the bordism group Ω 5 Spin $$… Expand

Anomaly and Cobordism Constraints Beyond Grand Unification: Energy Hierarchy

- Physics, Mathematics
- 2020

A recent work [2006.16996] suggests that a 4d nonperturbative global anomaly of mod 16 class hinting a possible new hidden gapped topological sector beyond the Standard Model (SM) and Georgi-Glashow… Expand

On the consistency of a class of R-symmetry gauged 6D N = (1,0) supergravities

- Physics, Medicine
- Proceedings of the Royal Society A
- 2020

This work examines constraints which arise from the consistency of the quantization of anomaly coefficients formulated in their strongest form by Monnier and Moore, and finds that these constraints are satisfied only by the model with the F4 – Sp(9) × U(1)R symmetry. Expand

Higher anomalies, higher symmetries, and cobordisms II: Lorentz symmetry extension and enriched bosonic / fermionic quantum gauge theory

- Physics
- 2019

We systematically study Lorentz symmetry extensions in quantum field theories (QFTs) and their 't Hooft anomalies via cobordism. The total symmetry $G'$ can be expressed in terms of the extension of… Expand

Ultra Unification

- Physics
- 2020

Strong, electromagnetic, and weak forces were unified in the Standard Model (SM) with spontaneous gauge symmetry breaking. These forces were further conjectured to be unified in a simple Lie group… Expand

Generalized ’t Hooft anomalies on non-spin manifolds

- Physics
- 2020

We study the mixed anomaly between the discrete chiral symmetry and general baryon-color-flavor (BCF) backgrounds in SU( N c ) gauge theories with N f flavors of Dirac fermions in representations ℛ c… Expand

The algebra of anomaly interplay

- Physics
- 2020

We give a general description of the interplay that can occur between local and global anomalies, in terms of (co)bordism. Mathematically, such an interplay is encoded in the non-canonical splitting… Expand

Atiyah-Patodi-Singer index theorem from axial anomaly

- Physics
- 2021

We give a very simple derivation of the Atiyah-Patodi-Singer (APS) index theorem and its small generalization by using the path integral of massless Dirac fermions. It is based on the Fujikawa’s… Expand

Some torsion classes in the Chow ring and cohomology of BPGLn

- Mathematics
- 2020

In the integral cohomology ring of the classifying space of the projective linear group $PGL_n$ (over $\mathbb{C}$), we find a collection of $p$-torsions $y_{p,k}$ of degree $2(p^{k+1}+1)$ for any… Expand

Anomaly and Cobordism Constraints Beyond Standard Model: Topological Force

- Physics, Mathematics
- 2020

Standard lore uses local anomalies to check the kinematic consistency of gauge theories coupled to chiral fermions, e.g. Standard Models (SM). Based on a systematic cobordism classification… Expand

#### References

SHOWING 1-10 OF 69 REFERENCES

Anomaly interplay in U(2) gauge theories

- Physics
- 2020

We discuss anomaly cancellation in U(2) gauge theories in four dimensions. For a U(2) gauge theory defined with a spin structure, the vanishing of the bordism group Ω 5 Spin $$… Expand

Dai-Freed anomalies in particle physics

- Physics
- Journal of High Energy Physics
- 2019

Abstract
Anomalies can be elegantly analyzed by means of the Dai-Freed theorem. In this framework it is natural to consider a refinement of traditional anomaly cancellation conditions, which… Expand

An anomaly-free atlas: charting the space of flavour-dependent gauged U(1) extensions of the Standard Model

- Physics
- Journal of High Energy Physics
- 2019

A bstractSpontaneously broken, flavour-dependent, gauged U(1) extensions of the Standard Model (SM) have many phenomenological uses. We chart the space of solutions to the gauge anomaly cancellation… Expand

A new SU(2) anomaly

- Physics, Mathematics
- Journal of Mathematical Physics
- 2019

A familiar anomaly affects SU(2) gauge theory in four dimensions: a theory with an odd number of fermion multiplets in the spin 1/2 representation of the gauge group, and more generally in… Expand

Global gravitational anomalies

- Physics
- 1985

A general formula for global gauge and gravitational anomalies is derived. It is used to show that the anomaly free supergravity and superstring theories in ten dimensions are all free of global… Expand

If the weak were strong and the strong were weak

- Physics
- SciPost Physics
- 2019

<jats:p>We explore the phase structure of the Standard Model as the relative
strengths of the <jats:inline-formula><jats:alternatives><jats:tex-math>SU(2)</jats:tex-math><mml:math… Expand

Higher anomalies, higher symmetries, and cobordisms I: classification of higher-symmetry-protected topological states and their boundary fermionic/bosonic anomalies via a generalized cobordism theory

- Physics
- Annals of Mathematical Sciences and Applications
- 2019

By developing a generalized cobordism theory, we explore the higher global symmetries and higher anomalies of quantum field theories and interacting fermionic/bosonic systems in condensed matter. Our… Expand

Anomaly-free models for flavour anomalies

- Physics, Medicine
- The European physical journal. C, Particles and fields
- 2018

The constraints imposed by the cancellation of triangle anomalies on models in which the flavour anomalies reported by LHCb and other experiments are due to an extra U(1)$$^\prime $$′ gauge boson Z″ are explored, showing how the prospective LHC Z′ constraint may be weakened because the Z′→μ+μ- branching ratio is suppressed relative to other decay modes. Expand

Anomaly Inflow and the η-Invariant

- Memorial Volume for Shoucheng Zhang
- 2021

Perturbative fermion anomalies in spacetime dimension d have a well-known relation to ChernSimons functions in dimension D = d + 1. This relationship is manifested in a beautiful way in “anomaly… Expand

Line operators in the Standard Model

- Physics
- 2017

A bstractThere is an ambiguity in the gauge group of the Standard Model. The group is G = SU(3) × SU(2) × U(1)/Γ, where Γ is a subgroup of Z6 which cannot be determined by current experiments. We… Expand