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A new method based on the concept of probability distribution is proposed to analyze the finite volume energy spectrum in lattice QCD. Using synthetic lattice data, we demonstrate that for the channel with quantum numbers of the…

High Energy Physics - Lattice · Physics 2012-06-13 Veronique Bernard , Michael Lage , Ulf-G. Meißner , Akaki Rusetsky

We derive the on-shell form of amplitudes containing two external currents with a single hadron in the initial state and two hadrons in the final state, denoted as $1+\mathcal{J}\to 2+\mathcal{J}$. This class of amplitude is relevant in…

High Energy Physics - Lattice · Physics 2022-07-13 Keegan H. Sherman , Felipe G. Ortega-Gama , Raúl A. Briceño , Andrew W. Jackura

Now that Lattice QCD calculations are beginning to include QED, it is important to better understand how hadronic properties are modified by finite-volume QED effects. They are known to exhibit power-law scaling with volume, in contrast to…

High Energy Physics - Lattice · Physics 2014-10-07 Zohreh Davoudi , Martin J. Savage

We consider the factorization properties of on-shell QCD amplitudes with massive partons in the limit when all kinematical invariants are large compared to the parton mass and discuss the structure of their infrared singularities. The…

High Energy Physics - Phenomenology · Physics 2009-01-07 S. Moch , A. Mitov

Light front formalism for composite systems is presented. Derivation of equations for bound state and scattering problems are given. Methods of constructing of elastic form factors and scattering amplitudes of composite particles are…

High Energy Physics - Theory · Physics 2008-11-26 V. R. Garsevanishvili , A. A. Khelashvili , Z. R. Menteshashvili , M. S. Nioradze

We perform a detailed investigation of multiple hard interactions in hadron-hadron collisions. We discuss the space-time, spin and color structure of multiple interactions, classify different contributions according to their power behavior…

High Energy Physics - Phenomenology · Physics 2016-02-19 Markus Diehl , Daniel Ostermeier , Andreas Schafer

The gravitational form factors of a hadron are defined through the matrix elements of the energy-momentum tensor current, which can be decomposed into the quark and gluonic parts, between the hadronic states. These form factors provide…

High Energy Physics - Phenomenology · Physics 2023-11-21 Z. Dehghan , K. Azizi , U. Özdem

We present, in the framework of the interacting hadron resonance gas, an evaluation of thermodynamical quantities. The interaction is modelled via a correction for the finite size of the hadrons. We investigate the sensitivity of the model…

Nuclear Theory · Physics 2015-06-03 A. Andronic , P. Braun-Munzinger , J. Stachel , M. Winn

In this article I provide an overview of the current state of scattering within lattice QCD, along with ongoing projects that examine weak decays involving scattering states as either final or intermediate states. Significant progress has…

High Energy Physics - Lattice · Physics 2025-02-03 Felix Erben

Using the infinite-volume photon propagator, we developed a method which allows us to calculate electromagnetic corrections to stable hadron masses with only exponentially suppressed finite-volume effects. The key idea is that the infinite…

High Energy Physics - Lattice · Physics 2019-12-04 Xu Feng , Luchang Jin

The quarkonic contributions to the three-loop heavy-quark form factors for vector, axial-vector, scalar and pseudoscalar currents are described by closed form difference equations for the expansion coefficients in the limit of small…

High Energy Physics - Phenomenology · Physics 2023-07-07 Johannes Blümlein , Abilio De Freitas , Peter Marquard , Narayan Rana , Carsten Schneider

We present a determination of the $P$-wave $\pi\pi\to\pi\gamma^\star$ transition amplitude from lattice quantum chromodynamics. Matrix elements of the vector current in a finite-volume are extracted from three-point correlation functions,…

High Energy Physics - Phenomenology · Physics 2016-06-15 Raúl A. Briceño , Jozef J. Dudek , Robert G. Edwards , Christian J. Shultz , Christopher E. Thomas , David J. Wilson

Radiative transitions between charmonium states offer an insight into the internal structure of heavy-quark bound states within QCD. We compute, for the first time within lattice QCD, the transition form-factors of various multipolarities…

High Energy Physics - Phenomenology · Physics 2014-11-18 Jozef J. Dudek , Robert G. Edwards , David G. Richards

We calculate, in the continuum limit of quenched lattice QCD, the matrix elements of the heavy-heavy vector current between heavy-light pseudoscalar meson states. We present the form factors for different values of the initial and final…

High Energy Physics - Lattice · Physics 2008-11-26 G. M. de Divitiis , R. Petronzio , N. Tantalo

I discuss recent applications of QCD light-cone sum rules to various form factors of pseudoscalar mesons. In this approach both soft and hard contributions to the form factors are taken into account. Combining QCD calculation with the…

High Energy Physics - Phenomenology · Physics 2010-02-16 A. Khodjamirian

A non-relativistic potential-model version of the factorization assumption, used in perturbative QCD calculations of hadronic form factors, is used, along with the Born approximation valid at high energies, to derive a remarkably simple…

Nuclear Theory · Physics 2009-11-07 Gerald A. Miller , Mark Strikman

We describe the volume dependence of matrix elements of local boundary fields to all orders in inverse powers of the volume. Using the scaling boundary Lee-Yang model as testing ground, we compare the matrix elements extracted from boundary…

High Energy Physics - Theory · Physics 2008-11-26 M. Kormos , G. Takacs

A formalism for the relativistic description of hadron decays within the constituent quark model is presented. First, hadron amplitudes of the light--cone constituent quark model, in particular the weak transition form factors at spacelike…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Melikhov

We present the bare one-, two-, and three-loop form factors in massless Quantum Chromodynamics as linear combinations of finite master integrals. Using symbolic integration, we compute their $\epsilon$ expansions and thereby reproduce all…

High Energy Physics - Phenomenology · Physics 2016-08-30 Andreas von Manteuffel , Erik Panzer , Robert M. Schabinger

The structure of hadrons relevant for deep-inelastic scattering are completely characterised by the Compton amplitude. A direct calculation of the Compton amplitude in a lattice QCD setup provides a way to accessing the structure functions,…