Two-flavor simulations of the rho(770) and the role of the KKbar channel

Hu, Bin; Peralta, Raquel Molina; Döring, Michael; Alexandru, Andrei; Guo, Dehua

doi:10.22323/1.256.0096

Cited by 2 publications

(2 citation statements)

References 73 publications

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“…The present work stresses the importance of taking into account ππ − KK loops, which is the strength of the prediction of the UχPT model. We will discuss this point in detail in an upcoming publication [44].…”

Section: Resonance Parametersmentioning

confidence: 99%

Rho resonance parameters from lattice QCD

et al. 2016

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We perform a high-precision calculation of the phase shifts for π-π scattering in the I = 1, J = 1 channel in the elastic region using elongated lattices with two mass-degenerate quark flavors (N f = 2). We extract the ρ resonance parameters using a Breit-Wigner fit at two different quark masses, corresponding to mπ = 226 MeV and mπ = 315 MeV, and perform an extrapolation to the physical point. The extrapolation is based on a unitarized chiral perturbation theory model that describes well the phase-shifts around the resonance for both quark masses. We find that the extrapolated value, mρ = 720(1)(15) MeV, is significantly lower that the physical rho mass and we argue that this shift could be due to the absence of the strange quark in our calculation.

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Section: Resonance Parametersmentioning

confidence: 99%

Rho resonance parameters from lattice QCD

et al. 2016

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“…While this process has been generalised to cases such as multiple scattering channels [4][5][6][7][8][9][10], and three-body systems [11][12][13], it requires parametrisation of the scattering observables and becomes significantly more complicated. Through increases in computational power and algorithmic advances, lattice QCD is now able to consider physical quark masses, yielding, for example, results for the lowest-lying resonance, the ∆(1232) [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Regularisation in Nonperturbative Extensions of Effective Field Theory

D.¹,

Leinweber²,

Thomas³

et al. 2021

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The process of renormalisation in nonperturbative Hamiltonian Effective Field Theory (HEFT) is examined in the ∆-resonance scattering channel. As an extension of effective field theory, HEFT provides a bridge between the infinite-volume scattering data of experiment and the finite-volume spectrum of energy eigenstates in lattice QCD . The extent to which the established features of finite-range regularisation survive in HEFT is examined. While phase shifts withstand large variations in the renormalisation scheme, inelasticities in the two-channel, πN , π∆ case do not. The regularisation-scheme dependence of the Hamiltonian energy eigenvectors is explored to ascertain the conditions under which these eigenvectors provide physically relevant insight into the basis-state composition of the finite volume states. As in perturbative effective field theory, variation in the regularisation scale is compensated by variation in the residual series of short-distance counter terms. Unphysical regulators lead to large corrections in the residual series, resulting in an unphysical Hamiltonian and its associated eigenvectors. Physically relevant regulators are required to maintain convergence in the residual series expansion of the bare basis-state mass; with correct physics contained within the interactions of the Hamiltonian, physical insight can flow from the eigenvectors. A scheme is established for the prediction of the quark-mass dependence of the finite-volume ∆ spectrum, to be observed in future lattice QCD simulations.

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Two-flavor simulations of the rho(770) and the role of the KKbar channel

Cited by 2 publications

References 73 publications

Rho resonance parameters from lattice QCD

Rho resonance parameters from lattice QCD

Regularisation in Nonperturbative Extensions of Effective Field Theory

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