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We present complete results for the hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment $a_\mu$ in the short- and intermediate-distance window regions, which account for roughly 10% and 35% of the total HVP…

We show the details of the calculation of the hadronic thermal corrections to the two-point functions in the effective field theory of QCD for pions and vector mesons based on the hidden local symmetry (HLS) in hot matter using the…

高能物理 - 唯象学 · 物理学 2009-11-10 Masayasu Harada , Chihiro Sasaki

We derive the leading exponential finite volume corrections in two dimensional integrable models for non-diagonal form factors in diagonally scattering theories. These formulas are expressed in terms of the infinite volume form factors and…

高能物理 - 理论 · 物理学 2019-09-04 Zoltan Bajnok , Marton Lajer , Balint Szepfalvi , Istvan Vona

We compute the isospin-violating part $a_\mu^{\text{HVP}, 38}$ of the hadronic-vacuum-polarization (HVP) contribution to the muon $(g-2)$ in lattice QCD at the SU$(3)_{\rm f}$-symmetric point where $M_\pi=M_K\simeq 416$ MeV. All diagrams…

We present results for the short-distance window observable of the hadronic vacuum polarization contribution to the muon $g-2$, computed via the time-momentum representation (TMR) in lattice QCD. A key novelty of our calculation is the…

高能物理 - 格点 · 物理学 2024-01-23 Simon Kuberski , Marco Cè , Georg von Hippel , Harvey B. Meyer , Konstantin Ottnad , Andreas Risch , Hartmut Wittig

Following the publication of the new measurement of the anomalous magnetic moment of the muon, the discrepancy between experiment and the theory prediction from the $g-2$ theory initiative has increased to $4.2\,\sigma$. Recent lattice QCD…

In Ref. [1], a method was proposed to calculate QED corrections to hadronic self energies from lattice QCD without power-law finite-volume errors. In this paper, we extend the method to processes which occur at second-order in the weak…

高能物理 - 格点 · 物理学 2021-01-13 Norman H. Christ , Xu Feng , Lu-Chang Jin , Christopher T. Sachrajda

As several lattice collaborations agree on the result for the window quantity of the hadronic vacuum polarization (HVP) contribution to $(g-2)_\mu$, whilst being in tension with the calculation using the dispersive approach, further effort…

高能物理 - 格点 · 物理学 2023-12-01 En-Hung Chao , Harvey B. Meyer , Julian Parrino

We determine the finite-volume corrections to the spectrum and matrix elements of two-hadron states in a moving frame, i.e. one in which the total momentum of the two-hadrons is non-zero. The analysis is performed entirely within field…

高能物理 - 格点 · 物理学 2009-10-09 C. h. Kim , C. T. Sachrajda , Stephen R. Sharpe

QCD bounds on the leading-order (LO) hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon ($a_\mu^{\mathrm{HVP,LO}}$, $a_\mu=\left(g-2\right)_\mu/2$) are determined by imposing H\"older inequalities…

高能物理 - 唯象学 · 物理学 2024-08-01 Siyuan Li , T. G. Steele , J. Ho , R. Raza , K. Williams , R. T. Kleiv

In order to reach (sub-)per cent level precision in lattice calculations of the hadronic vacuum polarisation, isospin breaking corrections must be included. This requires introducing QED on the lattice, and the associated finite-size…

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…

高能物理 - 格点 · 物理学 2015-11-17 Maxwell T. Hansen

In this talk we present some preliminary results and discuss the prospects of determining the leading structure-dependent finite-volume effects in the hadronic vacuum polarisation associated to order $e^2$ electromagnetic corrections. In…

高能物理 - 格点 · 物理学 2024-08-16 Nils Hermansson-Truedsson

We present a preliminary lattice calculation of the leading-order electromagnetic and strong isospin-breaking corrections to the Hadronic Vacuum Polarization (HVP) contribution of the light quarks to the anomalous magnetic moment of the…

We calculate finite volume effects on the pion masses and decay constant in twisted mass lattice QCD (tmLQCD) at finite lattice spacing. We show that the lighter neutral pion in tmLQCD gives rise to finite volume effects that are…

高能物理 - 格点 · 物理学 2014-11-20 Gilberto Colangelo , Urs Wenger , Jackson M. S. Wu

We present a method to couple finite-volume QCD to infinite-volume QED by an appropriate twist-averaging procedure. We demonstrate the prescription numerically for the leading-order hadronic contribution to the anomalous magnetic moment of…

高能物理 - 格点 · 物理学 2015-03-17 Christoph Lehner , Taku Izubuchi

Windows in Euclidean time have become a standard tool for comparing lattice QCD and data-driven computations of the hadronic vacuum polarization (HVP) contribution to the muon $g-2$. Here we review our results, obtained using…

高能物理 - 唯象学 · 物理学 2023-12-29 Pere Masjuan , Alejandro Miranda , Pablo Roig

We report on our ongoing project to calculate the leading hadronic contribution to the anomalous magnetic moment of the muon a_mu^HLO using two dynamical flavours of non-perturbatively O(a) improved Wilson fermions. In this study, we…

高能物理 - 格点 · 物理学 2012-11-07 Michele Della Morte , Benjamin Jäger , Andreas Jüttner , Hartmut Wittig

In lattice quantum field theories with topological sectors, simulations at fine lattice spacings --- with typical algorithms --- tend to freeze topologically. In such cases, specific topological finite size effects have to be taken into…

高能物理 - 格点 · 物理学 2015-10-30 Arthur Dromard , Wolfgang Bietenholz , Urs Gerber , Héctor Mejía-Díaz , Marc Wagner

There has been much progress in the experimental measurement of the electric and magnetic polarizabilities of the nucleon. Similarly, lattice QCD simulations have recently produced dynamical QCD results for the magnetic polarizability of…

高能物理 - 格点 · 物理学 2015-02-23 J. M. M. Hall , D. B. Leinweber , R. D. Young