A hierarchy of semidefinite programs provides rigorous bounds on spectral density functionals from Monte Carlo data subject to reflection positivity, converging to statistical error limits.
Ab-initio Determination of Light Hadron Masses
6 Pith papers cite this work. Polarity classification is still indexing.
abstract
More than 99% of the mass of the visible universe is made up of protons and neutrons. Both particles are much heavier than their quark and gluon constituents, and the Standard Model of particle physics should explain this difference. We present a full ab-initio calculation of the masses of protons, neutrons and other light hadrons, using lattice quantum chromodynamics. Pion masses down to 190 mega electronvolts are used to extrapolate to the physical point with lattice sizes of approximately four times the inverse pion mass. Three lattice spacings are used for a continuum extrapolation. Our results completely agree with experimental observations and represent a quantitative confirmation of this aspect of the Standard Model with fully controlled uncertainties.
citation-role summary
citation-polarity summary
years
2026 6roles
background 1polarities
background 1representative citing papers
Lattice QCD computation yields ground-state masses for spin-3/2+ heavy baryons with relativistic charm and bottom quarks, marking the first fully relativistic treatment of bottom quarks.
Predictions for space- and time-like electromagnetic form factors of the Ω baryon obtained in rainbow-ladder DSE with vector⊗vector contact interaction and Poincaré-covariant Faddeev equation.
ALICE reports mass measurements of Ω−, Ξ− and antiparticles at ~60 ppm precision via invariant-mass reconstruction in pp collisions, calibrated on K0S and Λ, reducing lattice QCD scale uncertainty.
New analytic and Monte Carlo-assisted method tightens energy-based boson truncation bounds, reducing volume dependence in (1+1)D scalar and (2+1)D U(1) gauge theories.
citing papers explorer
-
Certified spectral functions from lattice Monte Carlo data
A hierarchy of semidefinite programs provides rigorous bounds on spectral density functionals from Monte Carlo data subject to reflection positivity, converging to statistical error limits.
-
Heavy baryons with relativistic quarks
Lattice QCD computation yields ground-state masses for spin-3/2+ heavy baryons with relativistic charm and bottom quarks, marking the first fully relativistic treatment of bottom quarks.
-
Space- and time-like electromagnetic form factors of the $\mathbf{\Omega}$ baryon
Predictions for space- and time-like electromagnetic form factors of the Ω baryon obtained in rainbow-ladder DSE with vector⊗vector contact interaction and Poincaré-covariant Faddeev equation.
-
Precision mass measurements of multistrange baryons and their antiparticles
ALICE reports mass measurements of Ω−, Ξ− and antiparticles at ~60 ppm precision via invariant-mass reconstruction in pp collisions, calibrated on K0S and Λ, reducing lattice QCD scale uncertainty.
-
Tightening energy-based boson truncation bound using Monte Carlo-assisted methods
New analytic and Monte Carlo-assisted method tightens energy-based boson truncation bounds, reducing volume dependence in (1+1)D scalar and (2+1)D U(1) gauge theories.
- Higher-order hopping-parameter expansion by human-AI collaboration