76 research outputs found

    Future trends in lattice QCD simulations

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    This proceeding gives a short overview on current trends for Markov chain Monte Carlo simulations of lattice QCD on supercomputers. State-of-the-art lattice QCD calculations are becoming more and more essential in the search for new physics at the precision (intensity) frontier. Within this proceeding a briefdiscussion on methods is given for the generation of ensembles at larger lattice sizes and finerlattice spacings as well as methods to reach higher statical accuracy

    Probing the energy-smeared R-ratio on the lattice

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    We present a first-principles lattice QCD investigation of the RR-ratio between the e+ee^+e^- cross-section into hadrons and that into muons. By using the method of Ref.[1], that allows to extract smeared spectral densities from Euclidean correlators, we compute the RR-ratio convoluted with Gaussian smearing kernels of widths of about 600600 MeV and central energies from 220220 MeV up to 2.52.5 GeV. Our theoretical results are compared with the corresponding quantities obtained by smearing the KNT19 compilation [2] of RR-ratio experimental measurements with the same kernels and, by centring the Gaussians in the region around the ρ\rho-resonance peak, a tension of about three standard deviations is observed. From the phenomenological perspective, we have not included yet in our calculation QED and strong isospin-breaking corrections and this might affect the observed tension. From the methodological perspective, our calculation demonstrates that it is possible to study the RR-ratio in Gaussian energy bins on the lattice at the level of accuracy required in order to perform precision tests of the Standard Model.Comment: Version accepted for publication on PRL. Results unchange

    Quark masses and decay constants in Nf=2+1+1 isoQCD with Wilson clover twisted mass fermions

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    We present a preliminary study of the pion, kaon and D-meson masses and decay constants in isosymmetric QCD, as well as a preliminary result for the light-quark renormalized mass. The analysis is based on the gauge ensembles produced by ETMC with N f = 2 + 1 + 1 flavours of Wilson-clover twisted mass quarks, spanning a range of lattice spacings from ∼ 0.10 to 0.07 fm and include configurations at the physical pion point on lattices with linear size up to L ∼ 5.6 fm

    Nucleon axial and pseudoscalar form factors using twisted-mass fermion ensembles at the physical point

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    We compute the nucleon axial and pseudoscalar form factors using three Nf=N_f=2+1+1 twisted mass fermion ensembles with all quark masses tuned to approximately their physical values. The values of the lattice spacings of these three physical point ensembles are 0.080 fm, 0.068 fm, and 0.057 fm, and spatial sizes 5.1 fm, 5.44 fm, and 5.47 fm, respectively, yielding mπLm_\pi L>3.6. Convergence to the ground state matrix elements is assessed using multi-state fits. We study the momentum dependence of the three form factors and check the partially conserved axial-vector current (PCAC) hypothesis and the pion pole dominance (PPD). We show that in the continuum limit, the PCAC and PPD relations are satisfied. We also show that the Goldberger-Treimann relation is approximately fulfilled and determine the Goldberger-Treiman discrepancy. We find for the nucleon axial charge gAg_A=1.245(28)(14), for the axial radius rA2\langle r^2_A \rangle=0.339(48)(06) fm2^2, for the pion-nucleon coupling constant gπNNlimQ2mπ2GπNN(Q2)g_{\pi NN} \equiv \lim_{Q^2 \rightarrow -m_\pi^2} G_{\pi NN}(Q^2)=13.25(67)(69) and for GP(0.88mμ2)gPG_P(0.88m_{\mu}^2)\equiv g_P^*=8.99(39)(49)

    Lattice calculation of the R-ratio smeared with Gaussian kernels

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    The ratio R(E) of the cross-sections for e+e−→ hadrons and e+e−→μ+μ− is a valuable energy-dependent probe of the hadronic sector of the Standard Model. Moreover, the experimental measurements of R(E) are the inputs of the dispersive calculations of the leading hadronic vacuum polarization contribution to the muon g−2 and these are in significant tension with direct lattice calculations and with the muon g−2 experiment. In this talk we discuss the results of our first-principles lattice study of R(E). By using a recently proposed method for extracting smeared spectral densities from Euclidean lattice correlators, we have calculated R(E) convoluted with Gaussian kernels of different widths σ and central energies up to 2.5 GeV. Our theoretical results have been compared with the KNT19 [1] compilation of experimental results smeared with the same Gaussian kernels and a tension (about three standard deviations) has been observed for σ∼600 MeV and central energies around the ρ-resonance peak

    Deflation and polynomial preconditioning in the application of the overlap operator at nonzero chemical potential

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    When solving linear systems with the overlap operator at nonzero chemical potential μ\mu in lattice QCD one needs, at every iteration of the iterative solver, to apply the sign function evaluated on a non-Hermitian operator QμQ_{\mu} times a vector, i.e., sign(Qμ)v\mathrm{sign}(Q_{\mu})v. In this work we describe how deflation and (the more recently proposed) polynomial preconditioning can be applied to this problem, in particular in the context of lattice QCD. Furthermore, we describe how both methods can be combined, we compare them in numerical experiments and explore whether there might be any synergy between both that can be exploited

    Inclusive Hadronic Decay Rate of the τ Lepton from Lattice QCD: The u[over ¯]s Flavor Channel and the Cabibbo Angle.

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    We present a lattice determination of the inclusive decay rate of the process τ↦X_{us}ν_{τ} in which the τ lepton decays into a generic hadronic state X_{us} with u[over ¯]s flavor quantum numbers. Our results have been obtained in n_{f}=2+1+1 isosymmetric QCD with full nonperturbative accuracy, without any operator product expansion approximation and, except for the presently missing long-distance isospin-breaking corrections, include a solid estimate of all sources of theoretical uncertainties. This has been possible by using the Hansen-Lupo-Tantalo method [M. Hansen et al., Phys. Rev. D 99, 094508 (2019)PRVDAQ2470-001010.1103/PhysRevD.99.094508] that we have already successfully applied [A. Evangelista et al., Phys. Rev. D 108, 074513 (2023)PRVDAQ2470-001010.1103/PhysRevD.108.074513] to compute the inclusive decay rate of the process τ↦X_{ud}ν_{τ} in the u[over ¯]d flavor channel. By combining our first-principles theoretical results with the presently available experimental data, we extract the Cabibbo-Kobayashi-Maskawa matrix element |V_{us}|, the Cabibbo angle, with a 0.9% accuracy, dominated by the experimental error
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