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We discuss the use of the optimization procedure based on the Principle of Minimal Sensitivity to the third-order calculation of {\mbox{${R_{e^+e^-}}$}}. The effective coupling constant remains finite allowing us to apply the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. C. Mattingly , P. M. Stevenson

We derive a novel model-independent result for the pion susceptibility in QCD via the isovector-pseudoscalar vacuum polarisation. In the neighbourhood of the chiral-limit, the pion susceptibility can be expressed as a sum of two independent…

Nuclear Theory · Physics 2014-11-20 Lei Chang , Yu-Xin Liu , Craig D. Roberts , Yuan-Mei Shi , Wei-Min Sun , Hong-Shi Zong

We propose a new approach to construct QCD sum rules for the pi NN coupling constant, g, starting from the vacuum-to-pion correlation function of the interpolating fields of two nucleons and taking its matrix element with respect to nucleon…

Nuclear Theory · Physics 2009-11-07 Yoshihiko Kondo , Osamu Morimatsu

A method is explained through which a pointwise accurate approximation to the pion's valence-quark distribution amplitude (PDA) may be obtained from a limited number of moments. In connection with the single nontrivial moment accessible in…

Nuclear Theory · Physics 2015-06-16 I. C. Cloët , L. Chang , C. D. Roberts , S. M. Schmidt , P. C. Tandy

Generalized parton distributions (GPDs) encoding multidimensional information of hadron partonic structure appear as the building blocks in a factorized description of hard exclusive reactions. The nucleon GPDs have been accessed by deeply…

High Energy Physics - Phenomenology · Physics 2017-03-08 Kazuhiro Tanaka

Spectral functions encode a wealth of information about the dynamics of any given system, and the determination of their non-perturbative characteristics is a long-standing problem in quantum field theory. Whilst numerical simulations of…

High Energy Physics - Lattice · Physics 2022-11-03 Peter Lowdon , Owe Philipsen

We use QCD sum rules to obtain the weak parity-violating pion-nucleon coupling constant $f_{\pi NN}$. We find that $f_{\pi NN}\approx 3\times 10^{-8}$, up to an order of magnitude smaller than the ``best estimates" based on quark models.…

Nuclear Theory · Physics 2016-09-08 E. M. Henley , W-Y. P. Hwang , L. S. Kisslinger

A model for the twist-3 wave function $\psi_p(x,\mathbf{k_\perp})$ of the pion has been constructed based on the moment calculation by applying the QCD sum rules, whose distribution amplitude has a better end-point behavior than that of the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Tao Huang , Xing-Gang Wu

An analysis of the pion mass and pion decay constant is performed using mixed-action Lattice QCD calculations with domain-wall valence quarks on ensembles of rooted, staggered n_f = 2+1 MILC configurations. Calculations were performed at…

High Energy Physics - Lattice · Physics 2012-11-14 S. R. Beane , W. Detmold , P. M. Junnarkar , T. C. Luu , K. Orginos , A. Parreno , M. J. Savage , A. Torok , A. Walker-Loud

Using the global properties of the QCD partition function we determine an all order perturbative beta function in the background gauge field method to find out that it has a simple expressions whose properties and consequences align with…

High Energy Physics - Phenomenology · Physics 2017-12-12 Renata Jora

We formulate a dressed perturbative expansion of QCD, where the standard diagrams are evaluated in the presence of a constant external gluon field whose magnitude is gaussian distributed. The approach is Poincar{\'e} and gauge invariant,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Paul Hoyer , Stephane Peigne

Cross-section values for Compton scattering on the proton were measured at 25 kinematic settings over the range s = 5-11 and -t = 2-7 GeV2 with statistical accuracy of a few percent. The scaling power for the s-dependence of the cross…

Nuclear Experiment · Physics 2008-11-26 A. Danagoulian , V. H. Mamyan , M. Roedelbronn , the Hall A Collaboration

We study the pion form factor in a broad range of spacelike momentum transfers within the local-duality version of QCD sum rules. We make use of the recently calculated two-loop double spectral density of the $<AVA>$ correlator including…

High Energy Physics - Phenomenology · Physics 2008-11-26 Victor Braguta , Wolfgang Lucha , Dmitri Melikhov

The total cross section for scattering virtual photons at high energy is sensitive to pomeron physics. If the photons are sufficiently virtual, QCD perturbation theory applies, so that the reaction probes the short distance pomeron. We…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky , Francesco Hautmann , Davison E. Soper

The Coulomb scattering between three charged pions is shown to be perturbatively calculable using scalar QED for the relative momenta accessible to high-energy experiments of particle collisions. For the triplet relative momenta, $Q_3…

High Energy Physics - Phenomenology · Physics 2022-07-06 Dhevan Gangadharan

The QCD critical point can be found in heavy ion collision experiments via the non-monotonic behavior of many fluctuation observables as a function of the collision energy. The event-by-event fluctuations of various particle multiplicities…

High Energy Physics - Phenomenology · Physics 2014-11-21 Christiana Athanasiou , Krishna Rajagopal , Misha Stephanov

The Compton scattering on a charged pion and the process \gamma\gamma \to \pi^0\pi^0 are studied using the dispersion relations. Unknown parameters of the S-wave \pi\pi interaction, represented as a board Breit-Wignar resonance, and a sum…

Nuclear Theory · Physics 2011-07-19 L. V. Fil'kov , V. L. Kashevarov

Measuring Deeply Virtual Compton Scattering on the neutron is one of the necessary steps to understand the structure of the nucleon in terms of Generalized Parton Distributions (GPDs). Neutron targets play a complementary role to…

High Energy Physics - Experiment · Physics 2024-06-26 CLAS Collaboration , A. Hobart , S. Niccolai , M. Čuić , K. Kumerički , P. Achenbach , J. S. Alvarado , W. R. Armstrong , H. Atac , H. Avakian , L. Baashen , N. A. Baltzell , L. Barion , M. Bashkanov , M. Battaglieri , B. Benkel , F. Benmokhtar , A. Bianconi , A. S. Biselli , S. Boiarinov , M. Bondi , W. A. Booth , F. Bossù , K. -Th. Brinkmann , W. J. Briscoe , W. K. Brooks , S. Bueltmann , V. D. Burkert , T. Cao , R. Capobianco , D. S. Carman , P. Chatagnon , G. Ciullo , P. L. Cole , M. Contalbrigo , A. D'Angelo , N. Dashyan , R. De Vita , M. Defurne , A. Deur , S. Diehl , C. Dilks , C. Djalali , R. Dupre , H. Egiyan , A. El Alaoui , L. El Fassi , L. Elouadrhiri , S. Fegan , A. Filippi , C. Fogler , K. Gates , G. Gavalian , G. P. Gilfoyle , D. Glazier , R. W. Gothe , Y. Gotra , M. Guidal , K. Hafidi , H. Hakobyan , M. Hattawy , F. Hauenstein , D. Heddle , M. Holtrop , Y. Ilieva , D. G. Ireland , E. L. Isupov , H. Jiang , H. S. Jo , K. Joo , T. Kageya , A. Kim , W. Kim , V. Klimenko , A. Kripko , V. Kubarovsky , S. E. Kuhn , L. Lanza , M. Leali , S. Lee , P. Lenisa , X. Li , I. J. D. MacGregor , D. Marchand , V. Mascagna , M. Maynes , B. McKinnon , Z. E. Meziani , S. Migliorati , R. G. Milner , T. Mineeva , M. Mirazita , V. Mokeev , C. Muñoz Camacho , P. Nadel-Turonski , P. Naidoo , K. Neupane , G. Niculescu , M. Osipenko , P. Pandey , M. Paolone , L. L. Pappalardo , R. Paremuzyan , E. Pasyuk , S. J. Paul , W. Phelps , N. Pilleux , M. Pokhrel , S. Polcher Rafael , J. Poudel , J. W. Price , Y. Prok , T. Reed , J. Richards , M. Ripani , J. Ritman , P. Rossi , A. A. Golubenko , C. Salgado , S. Schadmand , A. Schmidt , Marshall B. C. Scott , E. M. Seroka , Y. G. Sharabian , E. V. Shirokov , U. Shrestha , N. Sparveris , M. Spreafico , S. Stepanyan , I. I. Strakovsky , S. Strauch , J. A. Tan , N. Trotta , R. Tyson , M. Ungaro , S. Vallarino , L. Venturelli , V. Tommaso , H. Voskanyan , E. Voutier , D. P Watts , X. Wei , R. Williams , M. H. Wood , L. Xu , N. Zachariou , J. Zhang , Z. W. Zhao , M. Zurek

We use QCD sum rules to obtain the weak parity-violating pion-nucleon coupling constant $f_{\pi NN}$. We find that $f_{\pi NN}\approx 2\times 10^{-8}$, about an order of magnitude smaller than the ``best estimates'' based on quark models.…

Nuclear Theory · Physics 2014-11-18 E. M. Henley , W-Y. P. Hwang , L. S. Kisslinger

The nonperturbative, Dyson-Schwinger equation approach to solving QCD provides a straightforward, microscopic description of dynamical chiral symmetry breaking and confinement. It is an ideal tool for the study of pion observables. This is…

High Energy Physics - Phenomenology · Physics 2009-10-28 Craig D. Roberts