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We consider the pion matrix elements of the isoscalar and isovector combinations of the vector and tensor twist-two operators that determine the moments of the various pion generalised parton distributions. Our analysis is performed using…

High Energy Physics - Lattice · Physics 2008-11-26 Jiunn-Wei Chen , William Detmold , Brian Smigielski

In this paper we propose recurrence relations for the dipole densities in QCD, which allows us to find these densities from the solution to the BFKL equation. We resolve these relations in the diffusion approximation for the BFKL kernel.…

High Energy Physics - Phenomenology · Physics 2023-03-29 Eugene Levin

We discuss the end-point behavior of the pion distribution amplitude (DA) and calculate its slope using QCD sum rules with nonlocal condensates. This is done in terms of the standard derivative and also with the help of an "integral…

High Energy Physics - Phenomenology · Physics 2010-11-04 S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

We report on our one-loop calculation of all the two meson scattering amplitudes within SU(3) Chiral Perturbation Theory, i.e. with pions, kaons and etas. Once the amplitudes are unitarized with the coupled channel Inverse Amplitude Method,…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. R. Pelaez , A. Gomez Nicola

At low temperature in the epsilon regime of QCD the low-end of the Dirac spectrum is described by random matrix theory. In contrast, there has been no similarly well established staistical description in the high temperature, chirally…

High Energy Physics - Lattice · Physics 2010-11-16 Tamas G. Kovacs , Ferenc Pittler

We study the quark Wigner distributions of the pion meson which are the phase-space distributions containing the most general one-parton information.Using the pion wavefunctions deduced from a light-cone quark model, we calculate the Wigner…

High Energy Physics - Phenomenology · Physics 2018-10-03 Zhi-Lei Ma , Zhun Lu

As part of the UKQCD and RBC collaborations' N_f=2+1 domain-wall fermion phenomenology programme, we calculate the first two moments of the light-cone distribution amplitudes of the pseudoscalar mesons pion and kaon and the…

High Energy Physics - Lattice · Physics 2011-04-22 R. Arthur , P. A. Boyle , D. Brömmel , M. A. Donnellan , J. M. Flynn , A. Jüttner , T. D. Rae , C. T. C. Sachrajda

We study the unpolarized fragmentation functions and parton distribution functions of the pion employing the nonlocal chiral quark model. This model manifests the nonlocal interactions between the quarks and pseudoscalar mesons in the…

High Energy Physics - Phenomenology · Physics 2015-06-03 Seung-il Nam , Chung-Wen Kao

Understanding the intricate three-dimensional internal structure of the nucleon has been a long-standing challenge. The main quantitative tool to map out this structure are the generalized parton distributions (GPDs). In these proceedings,…

Two- and three-particle distribution amplitudes of heavy pseudoscalar mesons of well-defined geometric twist are introduced. They are obtained from appropriately parametrized vacuum-to-meson matrix elements by applying those twist…

High Energy Physics - Phenomenology · Physics 2009-11-11 Bodo Geyer , Oliver Witzel

Distribution amplitudes are functions of non-perturbative matrix elements describing the hadronization of quarks and gluons. Thanks to factorization theorems, they can be used to compute the scattering amplitude of high-energy processes.…

High Energy Physics - Lattice · Physics 2024-09-23 Benoît Blossier , Mariane Mangin-Brinet , José Manuel Morgado Chávez , Teseo San José

We compute the pion quark Generalised Parton Distribution H and quark Double Distributions in a coupled Bethe-Salpeter and Dyson-Schwinger approach in terms of quark flavors or isospin states. We use analytic expressions inspired by the…

High Energy Physics - Phenomenology · Physics 2015-07-22 C. Mezrag

Analyzing the pion-mass dependence of $\pi\pi$ scattering phase shifts beyond the low-energy region requires the unitarization of the amplitudes from chiral perturbation theory. In the two-flavor theory, unitarization via the…

High Energy Physics - Phenomenology · Physics 2021-03-17 Malwin Niehus , Martin Hoferichter , Bastian Kubis , Jacobo Ruiz de Elvira

We study $\rho$ meson unpolarized generalized parton distributions based on a light-front constituent quark model where the quark-antiquark-meson vertex is constructed under the symmetric loop momentum convention. The form factors and some…

High Energy Physics - Phenomenology · Physics 2017-09-06 Bao-Dong Sun , Yu-Bing Dong

We review our recent one-loop calculation of all the two meson scattering amplitudes within SU(3) Chiral Perturbation Theory, i.e. with pions, kaons and etas. By unitarizing these amplitudes we are able to generate dynamically the lightest…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. R. Pelaez , A. Gomez Nicola

Lattice QCD spectra can be used to constrain partial-wave scattering amplitudes that, while satisfying unitarity, do not have to respect crossing symmetry and analyticity. This becomes a particular problem when extrapolated far from real…

High Energy Physics - Lattice · Physics 2024-03-07 Arkaitz Rodas , Jozef J. Dudek , Robert G. Edwards

We present a detailed analysis of meson-induced massive lepton (muon) Drell--Yan production for the process $\pi^{-}N\to\mu^{+}\mu^{-}X$, considering both an unpolarized nucleon target and longitudinally polarized protons. Using a QCD…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. P. Bakulev , N. G. Stefanis , O. V. Teryaev

We report on our recent work about the description of a meson gas below the chiral phase transition within the framework of Chiral Perturbation Theory. As an alternative to the standard treatment, we present a calculation of the quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gomez Nicola , J. R. Pelaez , A. Dobado , F. J. LLanes-Estrada

We discuss different QCD approaches to calculate the form factor F^{\gamma^*\gamma\pi}(Q^2) of the \gamma^*\gamma\to\pi^{0} transition giving preference to the light-cone QCD sum rules (LCSR) approach as being the most adequate. In this…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. P. Bakulev , S. V. Mikhailov , N. G. Stefanis

Coherence phenomena, and the non-universality of parton structure of the effective Pomeron are explained. New hard phenomena directly calculable in QCD such as diffractive electroproduction of states with $M^2\ll Q^2$ as well as new options…

High Energy Physics - Phenomenology · Physics 2007-05-23 Leonid Frankfurt , Mark Strikman