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We study the Drell-Yan process in the polarized pion-nucleon scattering. We calculate the $U(1)_\text{em}$ gauge invariant hadron tensors. To this end, we have to take into account two diagrams---the standard diagram and an additional…

High Energy Physics - Phenomenology · Physics 2018-01-16 I. V. Anikin , L. Szymanowski , O. V. Teryaev , N. Volchanskiy

We present a study of the $\pi\pi$ scattering amplitude in the $\sigma$ and $\rho$ channels at finite temperature and nuclear density within a chiral unitary framework. Meson resonances are dynamically generated in our approach, which…

High Energy Physics - Phenomenology · Physics 2009-07-22 D. Cabrera , D. Fernandez-Fraile , A. Gomez Nicola

We study chiral symmetry breaking in QCD-like gauge theories introducing a confining effective propagator, as proposed recently by Cornwall, and considering the effect of dynamical gauge boson mass generation. The effective confining…

High Energy Physics - Phenomenology · Physics 2015-05-28 A. Doff , F. A. Machado , A. A. Natale

We present results for the first two moments of the light-cone distribution amplitudes of the pion and kaon pseudo-scalar mesons and of the rho, K* and phi vector mesons. The calculations are performed on the RBC/UKQCD collaborations'…

High Energy Physics - Lattice · Physics 2019-08-14 P. A. Boyle , D. Brömmel , M. A. Donnellan , J. M. Flynn , A. Jüttner , C. T. Sachrajda

We use dispersive techniques to address the behavior of the pion form factor as $Q^2 \to \infty$ and $Q^2 \to 0$. We perform the matching with the constraints of perturbative QCD and chiral perturbation theory in the high energy and low…

High Energy Physics - Phenomenology · Physics 2011-07-19 John F. Donoghue , Euy Soo Na

Constraints on the parameters in the one- and two-loop pion-pion scattering amplitudes of standard chiral perturbation theory are obtained from explicitly crossing-symmetric sum rules. These constraints are based on a matching of the chiral…

High Energy Physics - Phenomenology · Physics 2009-08-27 G. Wanders

We describe results for the pion distribution amplitude (PDA) at the non-perturbative scale $\mu=~$2GeV by projecting the Poincar\'e-covariant Bethe-Salpeter wave-function onto the light-front and use it to investigate the ultraviolet…

High Energy Physics - Phenomenology · Physics 2014-07-03 Peter C Tandy

In this talk we briefly review how the unitarization of Chiral Perturbation Theory with dispersion relations can successfully describe the meson-meson scattering data and generate light resonances, whose mass, width and nature can be…

High Energy Physics - Phenomenology · Physics 2015-05-18 Jose R. Pelaez , C. Hanhart , J. Nebreda , G. Rios

We study hard exclusive electroproduction of two pions in the QCD factorization approach at next-to-leading order (NLO) in the strong coupling. The pion pair can be produced both in an isovector and in an isoscalar state. The angular…

High Energy Physics - Phenomenology · Physics 2009-04-14 D. Yu. Ivanov , M. Diehl , A. Schaefer , N. Warkentin

We compute the one-loop contributions to spin-averaged generalized parton distributions (GPDs) in the proton from pseudoscalar mesons with intermediate octet and decuplet baryon states at nonzero skewness. Our framework is based on nonlocal…

High Energy Physics - Phenomenology · Physics 2024-10-02 Zhengyang Gao , Fangcheng He , Chueng-Ryong Ji , W. Melnitchouk , Y. Salamu , P. Wang

We prove that a temperate distribution on $\mathbb{R}$ whose support and spectrum are uniformly discrete sets, can be obtained from Poisson's summation formula by a finite number of basic operations (shifts, modulations, differentiations,…

Classical Analysis and ODEs · Mathematics 2021-04-29 Nir Lev , Gilad Reti

We derive an explicit and model-independent representation for the skewed quark distribution of the pion in the limit of large momentum transfer. Our result is expressed in terms of the conventional pion distribution amplitudes and complies…

High Energy Physics - Phenomenology · Physics 2014-11-17 C. Vogt

The gauge-invariant, nonlocal, dynamical quark model is proved to generate the minimal vertices which satisfy the Ward-Takahashi identities. In the chiral limit, the momentum-dependent quark self-energy results in a flat-like form with some…

High Energy Physics - Phenomenology · Physics 2014-04-24 Chuan Li , Shao-Zhou Jiang , Qing Wang

We present here an extension of our model for the pion, which we used previously to calculate its diagonal structure function, to the off-forward case. The imaginary part of the off-forward gamma^* pi -> gamma^* pi scattering amplitude is…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. P. Lansberg , F. Bissey , J. R. Cudell , J. Cugnon , P. Stassart

A model field theory, in which the interaction between quarks is mediated by dressed vector boson exchange, is used to analyse the pionic sector of QCD. It is shown that this model, which incorporates dynamical chiral symmetry breaking,…

High Energy Physics - Phenomenology · Physics 2010-03-04 Craig D. Roberts , Reginald T. Cahill , Martin E. Sevior , Nicolangelo Iannella

We study pion-pion scattering in partially-quenched twisted-mass lattice QCD using chiral perturbation theory. The specific partially-quenched setup corresponds to that used in numerical lattice QCD calculations of the $I=0$ scattering…

High Energy Physics - Lattice · Physics 2022-03-02 Zachary T. Draper , Stephen R. Sharpe

Recent BaBaR data on the pion transition form factor, whose Q^2 dependence is much steeper then predicted by asymptotic Quantum Chromodynamics (QCD), have caused a renewed interest in its theoretical description. We present here a formalism…

High Energy Physics - Phenomenology · Physics 2010-12-09 S. Noguera , V. Vento

We derive one-loop matching relations for the Ioffe-time distributions related to the pion distribution amplitude (DA) and generalized parton distributions (GPDs). They are obtained from a universal expression for the one-loop correction in…

High Energy Physics - Phenomenology · Physics 2019-12-25 Anatoly Radyushkin

We apply the nonlocal condensate formalism to construct generalized sum rules (including $O(\as)$-radiative corrections) for $\pi$-, $\rho$- and $\rho'$-meson wave functions of twist 2. Besides, we predict the lepton decay constant…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. P. Bakulev , S. V. Mikhailov

We discuss the status of the pion distribution amplitude (DA) from analyzing the CLEO experimental data in the context of QCD sum-rule techniques and QCD perturbation theory at the NLO accuracy. The constraints extracted this way for the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander P. Bakulev , S. V. Mikhailov , N. G. Stefanis