Dark matter scattering cross section and dynamics in dark Yang-Mills theory

Abstract

We calculate for the first time the scattering cross section between lightest glueballs in $SU(2)$ pure Yang-Mills theory, which are good candidates of dark matter. In the first step, we evaluate the interglueball potential on lattice using the HAL QCD method, with several lattice spacings ($\beta =2.1,2.2,2.3,2.4$, and 2.5). The systematics associated with nonzero angular momentum effect is removed by subtracting the centrifugal force. The statistical accuracy is improved by employing the cluster-decomposition error reduction technique and by using all space-time symmetries. We then determine the low energy glueball effective Lagrangian and the scattering cross section at low energy, which is compared with the observational constraint on the dark matter self-scattering. We derive the lower bound on the scale parameter of the $SU(2)$ Yang-Mills theory, as $\Lambda >60$ MeV.

arXiv comment6 pages, 2 figures. Letter. The full paper may be found at Phys. Rev. D 102, 054507 (2020) (arXiv:1910.07756 [hep-lat]). Interglueball potential changed after revision

References in corpus (72)

• Planck 2015 results. XIII. Cosmological parameters
• A Universal Density Profile from Hierarchical Clustering
• The Structure of Cold Dark Matter Halos
• Particle Dark Matter: Evidence, Candidates and Constraints
• Supersymmetric Dark Matter
• A direct empirical proof of the existence of dark matter
• Observational evidence for self-interacting cold dark matter
• A Theory of Dark Matter
• Small-Scale Challenges to the $\Lambda$CDM Paradigm
• Dark Matter Results from 225 Live Days of XENON100 Data
• Dark Matter Self-interactions and Small Scale Structure
• Gravitational Wave Experiments and Early Universe Cosmology
• The glueball spectrum from an anisotropic lattice study
• Science with the space-based interferometer eLISA. II: Gravitational waves from cosmological phase transitions
• Dark Matter Results From 54-Ton-Day Exposure of PandaX-II Experiment
• The Waning of the WIMP? A Review of Models, Searches, and Constraints
• Gravitational Radiation from First-Order Phase Transitions
• Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -
• Cosmological Simulations with Self-Interacting Dark Matter I: Constant Density Cores and Substructure
• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Reconciling dwarf galaxies with LCDM cosmology: Simulating a realistic population of satellites around a Milky Way-mass galaxy
• Glueball Spectrum and Matrix Elements on Anisotropic Lattices
• WIMP dark matter candidates and searches - current status and future prospects
• Subhaloes in Self-Interacting Galactic Dark Matter Haloes
• Microlensing constraints on primordial black holes with the Subaru/HSC Andromeda observation
• Nuclear Force from Lattice QCD
• The non-gravitational interactions of dark matter in colliding galaxy clusters
• Cosmological Simulations with Self-Interacting Dark Matter II: Halo Shapes vs. Observations
• Beyond Collisionless Dark Matter: Particle Physics Dynamics for Dark Matter Halo Structure
• A comprehensive lattice study of SU(3) glueballs
• A galaxy lacking dark matter
• Constraining Self-Interacting Dark Matter with the Milky Way's dwarf spheroidals
• Fermi-LAT Observations of High-Energy Gamma-Ray Emission Toward the Galactic Center
• The Impact of Baryonic Physics on the Structure of Dark Matter Halos: the View from the FIRE Cosmological Simulations
• Gravitational Waves From a Dark (Twin) Phase Transition
• SU(N) gauge theories at large N
• Dissipative hidden sector dark matter
• Cosmology with Weak Lensing Surveys
• String Theory and the Path to Unification: A Review of Recent Developments
• Review of LHC Dark Matter Searches
• The Physics of Glueballs
• Hadron-Hadron Interactions from Imaginary-time Nambu-Bethe-Salpeter Wave Function on the Lattice
• Theoretical Foundation of the Nuclear Force in QCD and its applications to Central and Tensor Forces in Quenched Lattice QCD Simulations
• Numerical Evidence for the Observation of a Scalar Glueball
• The Status of Glueballs
• Combined strong and weak lensing analysis of 28 clusters from the Sloan Giant Arcs Survey
• There is No Missing Satellites Problem
• SENSEI: First Direct-Detection Constraints on sub-GeV Dark Matter from a Surface Run
• CLASH: Joint Analysis of Strong-Lensing, Weak-Lensing Shear and Magnification Data for 20 Galaxy Clusters
• The Experimental Status of Glueballs
• Towards the glueball spectrum from unquenched lattice QCD
• Nuclear Physics from Lattice QCD
• Composite strongly interacting dark matter
• Review of strongly-coupled composite dark matter models and lattice simulations
• Hidden SU(N) Glueball Dark Matter
• Scalar Glueball, Scalar Quarkonia, and their Mixing
• Natural Candidates for Superheavy Dark Matter in String and M Theory
• Self-Interacting Dark Matter from the Hidden Heterotic-String Sector
• Non-Abelian Dark Forces and the Relic Densities of Dark Glueballs
• Glueball Properties at Finite Temperature in SU(3) Anisotropic Lattice QCD
• Cosmological Bounds on Non-Abelian Dark Forces
• Scalar Glueball Mass Reduction at Finite Temperature in SU(3) Anisotropic Lattice QCD
• Glueball scattering cross section in lattice SU(2) Yang-Mills theory
• Variance Reduction and Cluster Decomposition
• SU(N) gauge theories for all N in 3 and 4 dimensions
• Gravitational Waves From SU(N) Glueball Dark Matter
• Partial wave decomposition on the lattice and its applications to the HAL QCD method
• Large N and confining flux tubes as strings - a view from the lattice
• Do glueballs contribute in heavy ion collisions?
• Slightly Ultra-violet Freeze-in a Hidden Gluonic Sector
• Glueball-glueball scattering in a constituent gluon model
• Glueball-glueball potential in a constituent gluon model

Cited by in corpus (20)

• Testing the dark SU(N) Yang-Mills theory Confined Landscape: From the Lattice to Gravitational Waves
• Dark Confinement and Chiral Phase Transitions: Gravitational Waves vs Matter Representations
• Tightening the reins on non-minimal dark sector physics: Interacting Dark Energy with dynamical and non-dynamical equation of state
• Dark Confinement-Deconfinement Phase Transition: A Roadmap from Polyakov Loop Models to Gravitational Waves
• Dark atoms and composite dark matter
• Glueballs and Strings in $Sp(2N)$ Yang-Mills theories
• Dark Grand Unification in the Axiverse: Decaying Axion Dark Matter and Spontaneous Baryogenesis
• Glueball Dark Matter revisited
• Glueballs as the Ithaca of meson spectroscopy
• Glueballs in a Thermal Squeezeout Model
• Dark Sector Glueballs at the LHC
• Glueball-glueball scattering and the glueballonium
• Källén-Lehmann Spectral Representation of the Scalar SU(2) Glueball
• Interglueball potential in SU(N) lattice gauge theory
• Thermal evolution of dark matter and gravitational-wave production in the early universe from a symplectic glueball model
• Hyper Stealth Dark Matter and Long-Lived Particles
• Theory, phenomenology, and experimental avenues for dark showers: a Snowmass 2021 report
• Emergence of ghost in once-subtracted on-shell unitarization in glueball-glueball scattering
• A comparative lattice analysis of $SU(2)$ dark gluebal
• Effective Matrix Model for Gauge Theories at Finite Temperature and Density using Quantum Computing