Baryons, multi-hadron systems, and composite dark matter in non-relativistic QCD

Abstract

We provide a formulation of potential non-relativistic quantum chromodynamics (pNRQCD) suitable for calculating binding energies and matrix elements of generic hadron and multi-hadron states made of heavy quarks in $SU(N_c)$ gauge theory using quantum Monte Carlo techniques. We compute masses of quarkonium and triply-heavy baryons in order to study the perturbative convergence of pNRQCD and validate our numerical methods. Further, we study $SU(N_c)$ models of composite dark matter and provide simple power series fits to our pNRQCD results that can be used to relate dark meson and baryon masses to the fundamental parameters of these models. For many systems comprised entirely of heavy quarks, the quantum Monte Carlo methods employed here are less computationally demanding than lattice field theory methods, although they introduce additional perturbative approximations. The formalism presented here may therefore be particularly useful for predicting composite dark matter properties for a wide range of $N_c$ and heavy fermion masses.

arXiv comment39 pages, 24 figures

References in corpus (103)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• The $XYZ$ states: experimental and theoretical status and perspectives
• Echoes of a Hidden Valley at Hadron Colliders
• Quantum Monte Carlo methods for nuclear physics
• Precise Relic WIMP Abundance and its Impact on Searches for Dark Matter Annihilation
• Potential NRQCD: an effective theory for heavy quarkonium
• Effective field theories for heavy quarkonium
• Renormalons
• An updated review of the new hadron states
• The Effective Field Theory of Dark Matter Direct Detection
• Physics Beyond Colliders at CERN: Beyond the Standard Model Working Group Report
• A Theory of Trotter Error
• Heavy Baryons in a Quark Model
• Effective Field Theory for Ultrasoft Momenta in NRQCD and NRQED
• Heavy Quark Effective Theory beyond Perturbation Theory: Renormalons, the Pole Mass and the Residual Mass Term
• The SIMPlest Miracle
• The 2009 World Average of ${\alpha }_s$
• Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories
• Composite Higgses
• Charmed bottom baryon spectroscopy from lattice QCD
• Phenomenology of Hidden Valleys at Hadron Colliders
• Searching for long-lived particles beyond the Standard Model at the Large Hadron Collider
• The HQET/NRQCD Lagrangian to order alpha/m^3
• Self-Interacting Dark Matter from a Non-Abelian Hidden Sector
• Dark Matter from new Technicolor Theories
• Macroscopic Strings and "Quirks" at Colliders
• Bound-state formation for thermal relic dark matter and unitarity
• Review of strongly-coupled composite dark matter models and lattice simulations
• Effective Field Theory Lagrangians for Baryons with Two and Three Heavy Quarks
• Quirky Composite Dark Matter
• A Next-Generation Liquid Xenon Observatory for Dark Matter and Neutrino Physics
• Bayesian model averaging for analysis of lattice field theory results
• Dark Nuclei I: Cosmology and Indirect Detection
• Ground-state triply and doubly heavy baryons in a relativistic three-quark model
• Confined hidden vector dark matter
• Potential NRQCD and Heavy-Quarkonium Spectrum at Next-to-Next-to-Next-to-Leading Order
• Precise predictions of charmed-bottom hadrons from lattice QCD
• Hidden SU(N) Glueball Dark Matter
• Potential NRQED: The Positronium Case
• Light Asymmetric Dark Matter on the Lattice: SU(2) Technicolor with Two Fundamental Flavors
• Quarkonium Hybrids with Nonrelativistic Effective Field Theories
• WIMP-nucleus scattering in chiral effective theory
• Ultrasoft Effects in Heavy-Quarkonium Physics
• The Heavy Quarkonium Spectrum at Order $m{\alpha }_s^5\ln {\alpha }_s$
• The QCD potential at O(1/m^2): Complete spin-dependent and spin-independent result
• Improved limits for Higgs-portal dark matter from LHC searches
• TeV-Scale Thermal WIMPs: Unitarity and its Consequences
• Calculation of Quarkonium Spectrum and $m_b,m_c$ to Order ${\alpha }_s^4$
• Fundamental Composite Higgs Dynamics on the Lattice: SU(2) with Two Flavors
• Communication with SIMP dark mesons via Z'-portal
• Weakly Interacting Stable Pions
• Review of Heavy Quarkonium at weak coupling
• Dynamical generation of the weak and Dark Matter scales from strong interactions
• Colored Dark Matter
• QCD Inequalities
• Dark Nuclei II: Nuclear Spectroscopy in Two-Colour QCD
• Mesons in large-N QCD
• Matching at one loop for the four-quark operators in NRQCD
• Dark Matter as a weakly coupled Dark Baryon
• Standard Model anatomy of WIMP dark matter direct detection I: weak-scale matching
• Stealth Dark Matter: Dark scalar baryons through the Higgs portal
• Composite Goldstone Dark Matter: Experimental Predictions from the Lattice
• Discovering Technicolor
• Atomic nuclei from quantum Monte Carlo calculations with chiral EFT interactions
• The Born-Oppenheimer approximation in an effective field theory language
• Quantum Monte Carlo calculations of electroweak transition matrix elements in A = 6,7 nuclei
• Nonabelian alpha_s^3/(m_q r^2) heavy-quark-antiquark potential
• Spin structure of heavy-quark hybrids
• Thermal Dark Matter from a Confining Sector
• Search for the doubly charmed baryon ${\Xi }_{cc}^{+}$
• Variational Study of Weakly Coupled Triply Heavy Baryons
• Next-to-leading-log renormalization-group running in heavy-quarkonium creation and annihilation
• Ultrasoft Renormalization in Non-Relativistic QCD
• Renormalization Group Scaling of the 1/m^2 HQET Lagrangian
• Composite bosonic baryon dark matter on the lattice: SU(4) baryon spectrum and the effective Higgs interaction
• A first estimate of triply heavy baryon masses from the pNRQCD perturbative static potential
• Two-Loop Static QCD Potential for General Colour State
• Lattice calculation of composite dark matter form factors
• The three-quark static potential in perturbation theory
• Prediction of the Omega_bbb mass from lattice QCD
• A Lattice Test of 1/N_c Baryon Mass Relations
• Dark atoms and composite dark matter
• Challenges for models with composite states
• Strongly Bound Dibaryon with Maximal Beauty Flavor from Lattice QCD
• Lattice baryons in the 1/N expansion
• Dark quarkonium formation in the early universe
• Path integral Monte Carlo ground state approach: Formalism, implementation, and applications
• Lattice study of large $N_c$ QCD
• Repurposing lattice QCD results for composite phenomenology
• Orthogonal Technicolor with Isotriplet Dark Matter on the Lattice
• Potential NRQCD for unequal masses and the $B_c$ spectrum at NNNLO
• Symmetries of the Three Heavy-Quark System and the Color-Singlet Static Energy at NNLL
• Baryons and baryonic matter in the large Nc and heavy quark limits
• The Nc dependencies of baryon masses: Analysis with Lattice QCD and Effective Theory
• Ultrasoft NLL Running of the Nonrelativistic O(v) QCD Quark Potential
• Matching coefficients in NRQCD to two-loop accuracy
• Lattice calculations of the spectroscopy of baryons with broken flavor SU(3) symmetry and 3, 5, or 7 colors
• Colour octet potential to three loops
• QCD inequalities for hadron interactions
• Heavy quark and gluino potentials to two loops
• Composite dynamics in Sp($2N$) gauge theories
• The $q\bar{q}$ semirelativistic interaction in the Wilson loop approach
• Matching the Standard Model to Heavy-Quark Effective Theory and Nonrelativistic QCD

Cited by in corpus (2)

• One Born$-$Oppenheimer Effective Theory to rule them all: hybrids, tetraquarks, pentaquarks, doubly heavy baryons and quarkonium
• Baryon-baryon, meson-meson, and meson-baryon interactions in nonrelativistic QCD