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A relation is presented between single-hadron long-range matrix elements defined in a finite Euclidean spacetime, and the corresponding infinite-volume Minkowski amplitudes. This relation is valid in the kinematic region where any number of…

High Energy Physics - Lattice · Physics 2020-02-05 Raúl A. Briceño , Zohreh Davoudi , Maxwell T. Hansen , Matthias R. Schindler , Alessandro Baroni

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

We develop a new method to calculate finite size corrections for form factors in two-dimensional integrable quantum field theories. We extract these corrections from the excited state expectation value of bilocal operators in the limit when…

High Energy Physics - Theory · Physics 2024-02-15 Zoltan Bajnok , Georgios Linardopoulos , István M. Szécsényi , Istvan Vona

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…

High Energy Physics - Lattice · Physics 2019-10-09 Nils Hermansson-Truedsson , Johan Bijnens , James Harrison , Tadeusz Janowski , Andreas Jüttner , Antonin Portelli

A new approach to the electroweak properties of two-particle composite systems is developed. The approach is based on the use of the instant form of relativistic Hamiltonian dynamics. The main novel feature of this approach is the new…

High Energy Physics - Phenomenology · Physics 2013-05-29 A. F. Krutov , V. E. Troitsky

We consider finite volume effects on the electro-magnetic pion form factor near the chiral limit, in the so-called $\epsilon$ regime. The pseudoscalar-vector-pseudoscalar three-point function is calculated in the $\epsilon$ expansion of…

High Energy Physics - Lattice · Physics 2014-02-13 Hidenori Fukaya , Takashi Suzuki

Electromagnetic effects are increasingly being accounted for in lattice quantum chromodynamics computations. Because of their long-range nature, they lead to large finite-size effects over which it is important to gain analytical control.…

High Energy Physics - Lattice · Physics 2016-03-23 Z. Fodor , C. Hoelbling , S. D. Katz , L. Lellouch , A. Portelli , K. K. Szabo , B. C. Toth

On account of its application to the present and future analysis of the virtual photon correction to the hadronic properties by means of lattice QCD simulation, we initiate the study of the finite size scaling effect on the QED correction…

High Energy Physics - Phenomenology · Physics 2008-12-18 Masashi Hayakawa , Shunpei Uno

Contrary to field theoretical calculations in the thermodynamic limit where the volume is assumed to be infinitely large, the heavy-ion collisions always carry the effects of finite size. A sufficiently small system size is expected to…

High Energy Physics - Phenomenology · Physics 2023-08-24 Győző Kovács , Péter Kovács , Pok Man Lo , Krzysztof Redlich , György Wolf

We derive analytic expansions for the finite-volume energies of weakly-interacting two-particle systems, using the general relations between scattering amplitudes and energies derived by L\"uscher and others. The relations hold for ground…

High Energy Physics - Lattice · Physics 2022-10-19 Dorota M. Grabowska , Maxwell T. Hansen

We consider the k=1 Friedman-Lemaitre-Robertson-Walker (FLRW) model within loop quantum cosmology (LQC), from the perspective of the two available quantization prescriptions. We focus our attention on the existence of the so called `inverse…

General Relativity and Quantum Cosmology · Physics 2016-04-28 Alejandro Corichi , Asieh Karami

Introducing a short range force coupling the spinless fermions to one unit of angular momentum in the framework of pionless EFT, we first report the two-body scattering amplitudes with Coulomb corrections, extended to two fermions of…

Nuclear Theory · Physics 2021-10-22 Gianluca Stellin

We extend the relativistic field theoretic finite-volume formalism to $N \pi \pi$ scattering states at maximal isospin, $I=5/2$. As in previous work using the relativistic field theory approach, we work to all orders in a generic low-energy…

High Energy Physics - Lattice · Physics 2025-10-07 Maxwell T. Hansen , Fernando Romero-López , Stephen R. Sharpe

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…

High Energy Physics - Lattice · Physics 2014-01-08 N. H. Christ , G. Martinelli , C. T. Sachrajda

In this work we develop a Lorentz-covariant version of the previously derived formalism for relating finite-volume matrix elements to $\textbf 2 + \mathcal J \to \textbf 2$ transition amplitudes. We also give various details relevant for…

High Energy Physics - Lattice · Physics 2019-08-21 Alessandro Baroni , Raúl A. Briceño , Maxwell T. Hansen , Felipe G. Ortega-Gama

We compute the complete two-loop electroweak corrections to the Higgsstralung process $e^+e^-\rightarrow HZ$ at the future Higgs factory. The Feynman integrals involved in the computation are decomposed into linear combinations of a minimal…

High Energy Physics - Phenomenology · Physics 2023-07-12 Xiang Chen , Xin Guan , Chuan-Qi He , Zhao Li , Xiao Liu , Yan-Qing Ma

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…

High Energy Physics - Theory · Physics 2019-09-04 Zoltan Bajnok , Marton Lajer , Balint Szepfalvi , Istvan Vona

Finite-volume effects in Quantum Chromodynamics (QCD) have been a subject of much theoretical interest for more than two decades. They are in particular important for the analysis and interpretation of QCD simulations on a finite, discrete…

High Energy Physics - Phenomenology · Physics 2017-10-17 Bertram Klein

In this talk, we present a framework for studying structural information of resonances and bound states coupling to two-hadron scattering states. This makes use of a recently proposed finite-volume formalism to determine a class of…

High Energy Physics - Lattice · Physics 2018-11-02 Alessandro Baroni , Raúl A. Briceño , Maxwell T. Hansen , Felipe G. Ortega-Gama

We present preliminary results of a 2+1-flavor study of finite-volume effects in the lattice QCD computation of the leading-order hadronic contribution to the muon anomalous magnetic moment. We also present methods for obtaining directly…

High Energy Physics - Lattice · Physics 2015-02-10 Rehan Malak , Zoltan Fodor , Christian Hoelbling , Laurent Lellouch , Alfonso Sastre , Kalman Szabo