Nonrelativistic lattice study of stoponium

Abstract

We calculate the bound state properties of stoponium using lattice formulation of nonrelativistic effective field theory for stop which is moving nonrelativistically in the rest frame of stoponium. Our calculation method is similar to that employed in lattice nonrelativistic quantum chromodynamics (NRQCD) studies for charmonium and bottominum. Using $16^3\times 256$ quenched lattice gauge field configurations at $a^{-1}=50(1)\mathrm{GeV}$, we obtain the stopoinium mass and the lattice matrix element which is related to the wavefunction at the origin for the $1S$ state and find that the lattice $|R_{1S}(0){|}^2/M_{1S}^3$ is $3.5\sim 4$ larger than that from a potential model calculation for $200\mathrm{GeV}\le M_{1S}\le 800\mathrm{GeV}$.

7 pages, 4 figures

References in corpus (9)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• The bottomonium spectrum at finite temperature from $N_f=2+1$ lattice QCD
• The ${\rm Y}$ and ${{\rm Y}}^{\prime }$ Leptonic Widths, $a_{\mu }^b$ and $m_b$ from full lattice QCD
• Diphoton decays of stoponium at the Large Hadron Collider
• LHC search for di-Higgs decays of stoponium and other scalars in events with two photons and two bottom jets
• The mass of the b-quark from lattice NRQCD and lattice perturbation theory
• Radiative corrections to stoponium annihilation decays
• Production of Stoponium at the LHC

Cited by in corpus (7)

• Squarkonium, diquarkonium and octetonium at the LHC and their di-photon decays
• The Fourth Generation Quark and the 750 GeV Diphoton Excess
• Back to 1974: The $\mathcal{Q}$-onium
• Diphoton Signals from Colorless Hidden Quarkonia
• Enhanced Rates for Diphoton Resonances in the MSSM
• Higgs-Stoponium Mixing Near the Stop-Antistop Threshold
• $CP$ violating mode of the stoponium decay into $Zh$