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We present a first-principles lattice QCD+QED calculation at physical pion mass of the leading-order hadronic vacuum polarization contribution to the muon anomalous magnetic moment. The total contribution of up, down, strange, and charm…

High Energy Physics - Lattice · Physics 2018-07-18 T. Blum , P. A. Boyle , V. Gülpers , T. Izubuchi , L. Jin , C. Jung , A. Jüttner , C. Lehner , A. Portelli , J. T. Tsang

We investigate the behavior of the chiral condensate in lattice QCD at finite temperature and finite chemical potential. The study was done using two flavors of light quarks and with a series of $\beta$ and $ma$ at the lattice size…

High Energy Physics - Lattice · Physics 2015-07-29 Rui Wang , Ying Chen , Ming Gong , Chuan Liu , Yu-Bin Liu , Zhao-Feng Liu , Jian-Ping Ma , Xiang-Fei Meng , Jian-Bo Zhang

The different ground state energies of N-pion and M-kaon systems for N+M <=12 are studied in lattice QCD. These energies are then used to extract the various two- and three- body interactions that occur in these systems. Particular…

High Energy Physics - Lattice · Physics 2011-08-11 William Detmold , Brian Smigielski

Charge-exchange rescattering $\pi^+\pi^-\to \pi^0\pi^0$ leads to a cusp effect in the $\pi^0\pi^0$ invariant mass spectrum of processes with $\pi^0\pi^0$ in the final state which can be used to measure $\pi\pi$ $S$-wave scattering lengths.…

High Energy Physics - Phenomenology · Physics 2013-02-06 Xiao-Hai Liu , Feng-Kun Guo , Evgeny Epelbaum

We study isospin-1 P-wave $\pi\pi$ scattering in lattice QCD with two flavours of O($a$) improved Wilson fermions. For pion masses ranging from $m_\pi=265$ MeV to $m_\pi=437$ MeV, we determine the energy spectrum in the centre-of-mass frame…

High Energy Physics - Lattice · Physics 2020-03-17 Felix Erben , Jeremy R. Green , Daniel Mohler , Hartmut Wittig

We present a determination of the isospin-1/2 elastic $\pi K$ scattering amplitudes in S and P partial waves using lattice Quantum Chromodynamics. The amplitudes, constrained for a large number of real-valued energy points, are obtained as…

High Energy Physics - Lattice · Physics 2019-07-31 David J. Wilson , Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

Isospin symmetry is explicitly broken in the Standard Model by the mass and electric charge of the up and down quarks. These effects represent a perturbation of hadronic amplitudes at the percent level. Although these contributions are…

High Energy Physics - Lattice · Physics 2015-05-27 Antonin Portelli

Locating the critical endpoint of QCD and the region of a first-order phase transition at finite baryon chemical potential is an active research area for QCD matter. We provide a gravitational dual description of QCD matter at finite baryon…

High Energy Physics - Theory · Physics 2023-02-21 Rong-Gen Cai , Song He , Li Li , Yuan-Xu Wang

We describe a rearrangement of the standard expansion of the symmetry breaking part of the QCD effective Lagrangian that includes into each order additional terms which in the standard chiral perturbation theory ($\chi$PT) are relegated to…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. Stern , H. Sazdjian , N. H. Fuchs

Systems with the quantum numbers of up to twelve charged and neutral pseudoscalar mesons, as well as one-, two-, and three-nucleon systems, are studied using dynamical lattice quantum chromodynamics and quantum electrodynamics (QCD+QED)…

In order to reduce the current hadronic uncertainties in the theory prediction for the anomalous magnetic moment of the muon, lattice calculations need to reach sub-percent accuracy on the hadronic-vacuum-polarization contribution. This…

High Energy Physics - Lattice · Physics 2019-07-31 J. Bijnens , J. Harrison , N. Hermansson-Truedsson , T. Janowski , A. Jüttner , A. Portelli

We propose a method to find the QCD critical point at finite density calculating the canonical partition function ${\cal Z}_{\rm C} (T,N)$ by Monte-Carlo simulations of lattice QCD, and analyze data obtained by a simulation with two-flavor…

High Energy Physics - Lattice · Physics 2009-11-18 Shinji Ejiri

We present the first determination of $\rho \pi$ scattering, incorporating dynamically-coupled partial-waves, using lattice QCD, a first-principles numerical approach to QCD. Considering the case of isospin-2 $\rho \pi$, we calculate…

High Energy Physics - Lattice · Physics 2018-07-16 Antoni J. Woss , Christopher E. Thomas , Jozef J. Dudek , Robert G. Edwards , David J. Wilson

The experimental uncertainty on the branching fraction $\b(\Lambda_c \to p K^- \pi^+) = (5.0 \pm 1.3)%$ has not decreased since 1998, despite a much larger data sample. Uncertainty in this quantity dominates that in many other quantities,…

High Energy Physics - Phenomenology · Physics 2013-05-30 Jonathan L. Rosner

In our previous work, the connected and leading disconnected hadronic light-by-light contributions to the muon anomalous magnetic moment (g - 2) have been computed using lattice QCD ensembles corresponding to physical pion mass generated by…

High Energy Physics - Lattice · Physics 2017-08-30 Thomas Blum , Norman Christ , Masashi Hayakawa , Taku Izubuchi , Luchang Jin , Chulwoo Jung , Christoph Lehner

Standard Model determinations of properties of strongly interacting systems of hadrons have become possible with the powerful method of lattice quantum chromodynamics (LQCD), a method with growing applicability and reliability. While growth…

High Energy Physics - Lattice · Physics 2019-01-01 Zohreh Davoudi

The finite-volume nature of lattice QCD entails a variety of effects that must be handled in the process of performing chiral extrapolations. Since the pion cloud that surrounds hadrons becomes distorted in a finite volume, hadronic…

High Energy Physics - Lattice · Physics 2013-07-11 J. M. M. Hall , D. B. Leinweber , B. J. Owen , R. D. Young

Scattering and transition amplitudes with three-hadron final states play an important role in nuclear and particle physics. However, predicting such quantities using numerical Lattice QCD is very difficult, in part because of the effects of…

High Energy Physics - Lattice · Physics 2015-11-17 Maxwell T. Hansen

We investigate medium effects in QCD like chromoelectric screening and quasi-particle mass generation by calculating the heavy quark potential as well as the temporal quark and gluon Coulomb gauge propagators in quenched approximation.

High Energy Physics - Lattice · Physics 2014-11-17 P. Petreczky with O. Kaczmarek , F. Karsch , E. Laermann , S. Stickan , I. Wetzorke , F. Zantow

State-of-the-art lattice QCD calculations of scattering amplitudes in coupled-channel $D\pi$, $D\eta$ and $D_{s}\bar{K}$ scattering, as well elastic $DK$ scattering are discussed. The methodology employed allows a determination of the…

High Energy Physics - Lattice · Physics 2016-11-18 Graham Moir
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