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We report on a recent study of finite-volume effects on the lowest-lying octet baryon masses using the covariant baryon chiral perturbation theory up to next-to-leading order by analysing the latest $n_f = 2 + 1$ lattice QCD results from…

Nuclear Theory · Physics 2017-08-23 Xiu-Lei Ren , Lisheng Geng , Jie Meng

Using Chiral Perturbation Theory at one-loop we analyze the consequences of twisted boundary conditions. We point out that due to the broken Lorentz and reflection symmetry a number of unexpected terms show up in the expressions. We…

High Energy Physics - Lattice · Physics 2015-06-18 Johan Bijnens , Johan Relefors

In the present work, we investigate the impact of finite volume on the in-medium properties of kaons ($K^+$, $K^0$) and antikaons ($K^-$, $\bar{K^0}$), and $\phi$ mesons in the isospin asymmetric strange hadronic medium at finite density…

High Energy Physics - Phenomenology · Physics 2024-07-09 Zeeshan Ahmad , Nisha Chahal , Arvind Kumar , Suneel Dutt

Phenomena that involve two or more on-shell particles are particularly sensitive to the effects of finite volume and require special treatment when computed using lattice QCD. In this paper we generalize the results of L\"uscher, and…

High Energy Physics - Lattice · Physics 2017-07-06 Norman H. Christ , Xu Feng , Guido Martinelli , Christopher T. Sachrajda

We investigate the finite size effect on pseudoscalar meson masses and decay constants using a subset of the "PACS10" configurations which are generated keeping the space-time volumes over (10 fm$)^4$ in 2+1 flavor QCD at the physical…

High Energy Physics - Lattice · Physics 2019-01-10 K. -I. Ishikawa , N. Ishizuka , Y. Kuramashi , Y. Nakamura , Y. Namekawa , Y. Taniguchi , N. Ukita , T. Yamazaki , T. Yoshie

In Carrasco et al. we have recently proposed a method to calculate $O(e^2)$ electromagnetic corrections to leptonic decay widths of pseudoscalar mesons. The method is based on the observation that the infrared divergent contributions (that…

High Energy Physics - Lattice · Physics 2021-09-15 N. Tantalo , V. Lubicz , G. Martinelli , C. T. Sachrajda , F. Sanfilippo , S. Simula

We present a calculation of the meson masses, decay constants and quark-antiquark vacuum expectation value for the three generic QCD-like chiral symmetry breaking patterns $SU(N_F)\times SU(N_F)\to SU(N_F)_V$, $SU(N_F)\to SO(N_F)$ and…

High Energy Physics - Lattice · Physics 2015-09-15 Johan Bijnens , Thomas Rössler

We present the first step towards the estimation of finite volume effects in heavy-light meson systems using heavy meson chiral perturbation theory. We demonstrate that these effects can be amplified in both light-quark and heavy-quark mass…

High Energy Physics - Lattice · Physics 2008-11-26 C. -J. David Lin

A general formula is derived for the finite volume dependence of vacuum expectation values analogous to Luscher's formula for the masses. The result involves no integrals over kinematic quantities and depends only on the matrix element…

High Energy Physics - Lattice · Physics 2010-04-05 Johan Bijnens , Karim Ghorbani

Low-energy spectrum relevant to the lattice calculation of hadronic vacuum polarization contribution to muon anomalous magnetic moment a_\mu is dominantly given by two-pion states satisfying L\"uscher's finite-volume quantization condition.…

High Energy Physics - Lattice · Physics 2025-04-14 Sakura Itatani , Hidenori Fukaya , Shoji Hashimoto

The leptonic decay constant of the pseudoscalar mesons a calculated by use of the relativistic constituent quark model constructed on the point form of Poincare-covariant quantum mechanics. We discuss the role relativistic corrections for…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Andreev

The dependence of the pseudoscalar meson mass and decay constant is compared to one-loop Partially Quenched Chiral Perturbation Theory (PQChPT) in a numerical simulation with two light dynamical quarks. The characteristic behaviour with…

High Energy Physics - Lattice · Physics 2015-06-25 q Collaboration , F. Farchioni , C. Gebert , I. Montvay , E. Scholz , L. Scorzato

Within the framework of Dyson-Schwinger equations(DSEs) and by means of the Multiple Reflection Expansion approximation, we study the finite volume effects of the constituent quark mass in a strong external magnetic field. Since the…

High Energy Physics - Phenomenology · Physics 2025-08-19 Li-Juan Zhou , De-Xian Wei , Zhong-Yi Liu , Hong-Wei Zhong

Lattice regularization is used to perform chiral perturbation theory calculations in finite volume. The lattice spacing is chosen small enough to be irrelevant, and numerical results are obtained from simple summations.

High Energy Physics - Lattice · Physics 2009-11-10 Bugra Borasoy , Randy Lewis , Daniel Mazur

We study finite size effects of the d=3 $XY$ model in terms of the chiral perturbation theory. We calculate by Monte Carlo simulations physical quantities which are, to order of $(1/L)^2$, uniquely determined only by two low energy…

High Energy Physics - Lattice · Physics 2009-10-22 S. Tominaga , H. Yoneyama

We discuss some of the effects of twisted boundary conditions in finite volume using continuum SU(3) Chiral Perturbation Theory. We point out how broken cubic symmetry affects the definitions of quantities such as form-factors. Using the…

High Energy Physics - Lattice · Physics 2016-01-08 Johan Bijnens , Johan Relefors

We study finite volume effects in heavy quark systems in the framework of heavy meson chiral perturbation theory for full, quenched, and partially quenched QCD. A novel feature of this investigation is the role played by the scales Delta…

High Energy Physics - Lattice · Physics 2008-11-26 Daniel Arndt , C. -J. David Lin

We address finite volume effects of lattice QCD calculations in background magnetic fields. Using chiral perturbation theory at next-to-leading order, volume effects are calculated for thermodynamic quantities: the chiral condensate,…

High Energy Physics - Lattice · Physics 2023-05-17 Prabal Adhikari , Brian C. Tiburzi

We report on the calculation of the inclusive semileptonic decay of the $D_s$ meson on the lattice. We simulate the $D_s \rightarrow X_s\ell\nu_\ell$ process with M\"obius domain-wall charm and strange quarks, whose masses were…

High Energy Physics - Lattice · Physics 2023-12-29 Ryan Kellermann , Alessandro Barone , Shoji Hashimoto , Andreas Jüttner , Takashi Kaneko

Luescher's finite size mass shift formula in a periodic finite volume, involving forward scattering amplitudes in the infinite volume, is revisited for the two stable distinguishable particle system. The generalized mass shift formulae for…

High Energy Physics - Lattice · Physics 2009-11-10 Yoshiaki Koma , Miho Koma