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We initiate a systematic method to calculate both the finite volume energy levels and form factors from the momentum space finite volume two-point function. By expanding the two point function in the volume we extracted the leading…

高能物理 - 理论 · 物理学 2018-08-15 Zoltán Bajnok , János Balog , Márton Lájer , Chao Wu

We use chiral perturbation theory to study the extraction of pion electromagnetic polarizabilities from lattice QCD. Chiral extrapolation formulae are derived for partially quenched QCD, and quenched QCD simulations. On a torus, volume…

高能物理 - 格点 · 物理学 2008-11-26 Jie Hu , Fu-Jiun Jiang , Brian C. Tiburzi

We calculate the scalar semileptonic kaon decay in finite volume at the momentum transfer $t_{m} = (m_{K} - m_{\pi})^2$, using chiral perturbation theory. At first we obtain the hadronic matrix element to be calculated in finite volume. We…

高能物理 - 唯象学 · 物理学 2015-05-20 Karim Ghorbani , Mohammad. M. Yazdanpanah , Abolfazl Mirjalili

We present results of calculations of the hadronic vacuum polarisation contribution to the muon anomalous magnetic moment. Specifically, we focus on controlling the infrared regime of the vacuum polarisation function. Our results are…

This talk discusses two analytical calculations relevant for the Standard Model calculation of the muon $g-2$. The first part is the recent derivation of the quark-loop as the first term in a well-defined operator-product expansion for the…

高能物理 - 唯象学 · 物理学 2019-10-11 Johan Bijnens , Nils Hermansson-Truedsson , Antonio Rodriguez-Sánchez

We present the formalism for connecting a second-order electroweak $2\xrightarrow[]{H_I+H_I}2$ transition amplitudes in the finite volume (with two hadrons in the initial and final states) to the physical amplitudes in the infinite volume.…

高能物理 - 格点 · 物理学 2021-02-24 Xu Feng , Lu-Chang Jin , Zi-Yu Wang , Zheng Zhang

The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment, $(g-2$)/2, is computed in the infinite volume QED framework with lattice QCD. We report $a_\mu^\text{HLbL}=12.47(1.15)(0.95) \times 10^{-10}$ where…

高能物理 - 格点 · 物理学 2024-12-09 Thomas Blum , Norman Christ , Masashi Hayakawa , Taku Izubuchi , Luchang Jin , Chulwoo Jung , Christoph Lehner , Cheng Tu

We study a thermodynamically consistent implementation of the nucleon volume in the mean field theory, and find that this volume has large consequences on the properties of hadronic matter under extreme conditions such as in astrophysical…

核理论 · 物理学 2012-06-26 Bo-Qiang Ma , Qi-Ren Zhang , D. H. Rischke , W. Greiner

We calculate the contribution to the muon anomalous magnetic moment hadronic vacuum polarization from {the} connected diagrams of up and down quarks, omitting electromagnetism. We employ QCD gauge-field configurations with dynamical $u$,…

I present a status report of the hadronic vacuum polarization effects for the muon $g-2$, to be considered as an update of [1]. The update concerns recent new inclusive $R$ measurements from KEDR in the energy range 1.84 to 3.72 GeV. For…

高能物理 - 唯象学 · 物理学 2018-02-14 Fred Jegerlehner

We calculate finite-volume corrections to the low-energy constants $\Sigma$ and $F$ in the epsilon-regime of QCD using partially quenched chiral perturbation theory in the supersymmetry formulation without a singlet particle. We comment on…

高能物理 - 格点 · 物理学 2010-11-05 Christoph Lehner , Tilo Wettig

An accurate determination of the leading-order hadronic vacuum polarisation (HVP) contribution to the anomalous magnetic moment of the muon is critical to understanding the size and significance of any discrepancy between the Standard Model…

We present a four-flavour lattice calculation of the leading-order hadronic vacuum polarisation contribution to the anomalous magnetic moment of the muon, $a_\mathrm{\mu}^{\rm hvp}$, arising from quark-connected Feynman graphs. It is based…

高能物理 - 格点 · 物理学 2015-06-16 Florian Burger , Xu Feng , Grit Hotzel , Karl Jansen , Marcus Petschlies , Dru B. Renner

We describe how the thermal counterpart of a vacuum two-point function may be obtained in the real time formalism in a simple way by using directly the $2\times 2$ matrices that different elements acquire in this formalism. Using this…

高能物理 - 唯象学 · 物理学 2008-11-26 S. Mallik , Sourav Sarkar

We determine the relative pion mass shift $M_\pi(L)/M_\pi-1$ due to the finite spatial extent $L$ of the box by means of two-flavor chiral perturbation theory and the one-particle L\"uscher formula. We use as input the expression for the…

高能物理 - 格点 · 物理学 2011-05-05 Gilberto Colangelo , Stephan Dürr

Simulating the kappa(800) on the lattice is a challenging task that starts to become feasible due to the rapid progress in recent-years lattice QCD calculations. As the resonance is broad, special attention to finite-volume effects has to…

高能物理 - 格点 · 物理学 2015-06-03 M. Döring , U. -G. Meißner

The RBC and UKQCD collaborations have recently proposed a procedure for computing the K_L-K_S mass difference. A necessary ingredient of this procedure is the calculation of the (non-exponential) finite-volume corrections relating the…

高能物理 - 格点 · 物理学 2014-01-08 N. H. Christ , G. Martinelli , C. T. Sachrajda

When the multiplicities of particles produced in heavy-ion collisions are fitted to the hadron-resonance-gas model, excluded-volume effects play a significant role. In this work, we study the impact of such effects on the equation of state…

高能物理 - 格点 · 物理学 2017-06-01 Paolo Alba , Wanda Maria Alberico , Alessandro Nada , Marco Panero , Horst Stöcker

We investigate the neutron's response to magnetic fields on a torus with the aid of chiral perturbation theory, and expose effects from non-vanishing holonomies. The determination of such effects necessitates non-perturbative treatment of…

高能物理 - 格点 · 物理学 2014-04-23 Brian C. Tiburzi

The long-distance contribution of QED corrections to the hadronic vacuum polarization is particularly challenging to compute in lattice QCD+QED. Currently, it is one of the limiting factors towards matching the precision of the recent…

高能物理 - 格点 · 物理学 2025-09-01 Christoph Lehner , Julian Parrino , Andreas Völklein