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The history and present status of several sum rules for deep-inelastic lepton scattering are reviewed, with particular attention to the discovery of scaling, partons, quarks and QCD. Two outstanding issues are then discussed in more detail:…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. H. Llewellyn Smith

An analysis of different dispersion sum rules (DSRs) for the dipole and quadrupole pion polarizabilities is carried out. We prove the absence of additional spurious singularities in these approaches. The results of the calculations of the…

High Energy Physics - Phenomenology · Physics 2010-05-12 Lev Fil'kov , Viktor Kashevarov

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

We consider elastic quark-quark scattering at high energy with fixed momentum transfer $t$ and perform factorization of soft-gluon exchanges into a vacuum expectation value of Wilson lines. Taking into account nonperturbative corrections…

High Energy Physics - Phenomenology · Physics 2009-10-28 Irina A. Korchemskaya

We propose a phenomenological QCD sum rule with an explicit diquark field to investigate the essential ingredients inside the hadrons. Introducing the mass (m_\phi) and the condensate (\phi^2) for the diquark field as parameters in the…

Nuclear Theory · Physics 2011-09-02 Kyungil Kim , Daisuke Jido , Su Houng Lee

New results for the double spin asymmetry $A_1^{\rm p}$ and the proton longitudinal spin structure function $g_1^{\rm p}$ are presented. They were obtained by the COMPASS collaboration using polarised 200 GeV muons scattered off a…

High Energy Physics - Experiment · Physics 2016-01-20 C. Adolph , R. Akhunzyanov , M. G. Alexeev , G. D. Alexeev , A. Amoroso , V. Andrieux , V. Anosov , A. Austregesilo , C. Azevedo , B. Badelek , F. Balestra , J. Barth , G. Baum , G. R. Beck , Y. Bedfer , J. Bernhard , K. Bicker , E. R. Bielert , R. Birsa , J. Bisplinghoff , M. Bodlak , M. Boer , P. Bordalo , F. Bradamante , C. Braun , A. Bressan , M. Buechele , E. Burtin , L. Capozza , W. -C. Chang , M. Chiosso , I. Choi , S. U. Chung , A. Cicuttin , M. L. Crespo , Q. Curiel , S. Dalla Torre , S. S. Dasgupta , S. Dasgupta , O. Yu. Denisov , L. Dhara , S. V. Donskov , N. Doshita , V. Duic , M. Dziewiecki , A. Efremov , P. D. Eversheim , W. Eyrich , A. Ferrero , M. Finger , M. Finger , H. Fischer , C. Franco , N. du Fresne von Hohenesche , J. M. Friedrich , V. Frolov , E. Fuchey , F. Gautheron , O. P. Gavrichtchouk , S. Gerassimov , F. Giordano , I. Gnesi , M. Gorzellik , S. Grabmüller , A. Grasso , M. Grosse-Perdekamp , B. Grube , T. Grussenmeyer , A. Guskov , F. Haas , D. Hahne , D. von Harrach , R. Hashimoto , F. H. Heinsius , F. Herrmann , F. Hinterberger , N. Horikawa , N. d'Hose , C. -Yu Hsieh , S. Huber , S. Ishimoto , A. Ivanov , Yu. Ivanshin , T. Iwata , R. Jahn , V. Jary , P. Jörg , R. Joosten , E. Kabuß , B. Ketzer , G. V. Khaustov , Yu. A. Khokhlov , Yu. Kisselev , F. Klein , K. Klimaszewski , J. H. Koivuniemi , V. N. Kolosov , K. Kondo , K. Koenigsmann , I. Konorov , V. F. Konstantinov , A. M. Kotzinian , O. Kouznetsov , M. Kraemer , P. Kremser , F. Krinner , Z. V. Kroumchtein , N. Kuchinski , F. Kunne , K. Kurek , R. P. Kurjata , A. A. Lednev , A. Lehmann , M. Levillain , S. Levorato , J. Lichtenstadt , R. Longo , A. Maggiora , A. Magnon , N. Makins , N. Makke , G. K. Mallot , C. Marchand , A. Martin , J. Marzec , J. Matousek , H. Matsuda , T. Matsuda , G. Meshcheryakov , W. Meyer , T. Michigami , Yu. V. Mikhailov , Y. Miyachi , A. Nagaytsev , T. Nagel , F. Nerling , D. Neyret , V. I. Nikolaenko , J. Novy , W. -D. Nowak , A. S. Nunes , A. G. Olshevsky , I. Orlov , M. Ostrick , D. Panzieri , B. Parsamyan , S. Paul , J. -C. Peng , F. Pereira , M. Pesek , D. V. Peshekhonov , S. Platchkov , J. Pochodzalla , V. A. Polyakov , J. Pretz , M. Quaresma , C. Quintans , S. Ramos , C. Regali , G. Reicherz , C. Riedl , E. Rocco , N. S. Rossiyskaya , D. I. Ryabchikov , A. Rychter , V. D. Samoylenko , A. Sandacz , C. Santos , S. Sarkar , I. A. Savin , G. Sbrizzai , P. Schiavon , K. Schmidt , H. Schmieden , K. Schoenning , S. Schopferer , A. Selyunin , O. Yu. Shevchenko , L. Silva , L. Sinha , S. Sirtl , M. Slunecka , F. Sozzi , A. Srnka , M. Stolarski , M. Sulc , H. Suzuki , A. Szabelski , T. Szameitat , P. Sznajder , S. Takekawa , J. ter Wolbeek , S. Tessaro , F. Tessarotto , F. Thibaud , F. Tosello , V. Tskhay , S. Uhl , J. Veloso , M. Virius , T. Weisrock , M. Wilfert , K. Zaremba , M. Zavertyaev , E. Zemlyanichkina , M. Ziembicki , A. Zink

This work is a companion paper of Gamboa, Nagel, Rouault (J. Funct. Anal. 2016). We continue to explore the connections between large deviations for random objects issued from random matrix theory and sum rules. Here, we are concerned…

Probability · Mathematics 2017-01-31 Fabrice Gamboa , Jan Nagel , Alain Rouault

We extend the earlier suggested QCD-motivated model for the $Q^2$-dependence of the generalized Gerasimov-Drell-Hearn (GDH) sum rule which assumes the smooth dependence of the structure function $g_T$, while the sharp dependence is due to…

High Energy Physics - Phenomenology · Physics 2009-11-10 Jacques Soffer , Oleg Teryaev

Compton scattering by the proton has been measured using the tagged-photon facility at MAMI (Mainz) and the large-acceptance arrangement LARA. The new data are interpreted in terms of dispersion theory based on the SAID-SM99K…

The Schwinger sum rule is presented as a new promising tool to study the hadronic contributions to the muon anomalous magnetic moment. In particular, we show preliminary results for the light-by-light scattering contribution of pseudoscalar…

High Energy Physics - Phenomenology · Physics 2019-07-17 Franziska Hagelstein , Vladimir Pascalutsa

We present a detailed derivation of the two sum rules relating the spin polarizabilities measured in real, virtual, and doubly-virtual Compton scattering. For example, the polarizability $\delta_{LT}$, accessed in inclusive electron…

High Energy Physics - Phenomenology · Physics 2017-04-04 Vadim Lensky , Vladimir Pascalutsa , Marc Vanderhaeghen , Chung Wen Kao

We present precision corrections to dispersion relation bounds on form factors in bottom hadron semileptonic decays and analyze their effects on parameterizations derived from these bounds. We incorporate QCD two-loop and nonperturbative…

High Energy Physics - Phenomenology · Physics 2009-10-30 C. Glenn Boyd , Benjamin Grinstein , Richard F. Lebed

We present a new QCD sum rule with high sensitivity to the continuum regions of charm and bottom quark pair production. Combining this sum rule with existing ones yields very stable results for the msbar quark masses, m_c(m_c)$ and m_b…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jens Erler , Mingxing Luo

The Goldberger-Miyazawa-Oehme sum rule is used to extract the pion-nucleon coupling constant from experimental $\pi$N information. Chiral perturbation theory is exploited in relating the pionic hydrogen s-wave level shift and width results…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. V. Abaev , P. Metsä , M. E. Sainio

We provide a consistent regularization procedure for calculating hadron structure functions in a chiral quark model. The structure functions are extracted from the absorptive part of the forward Compton amplitude in the Bjorken limit. Since…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Weigel , E. Ruiz Arriola , L. Gamberg

The shape of hadronic distribution amplitudes (DAs) is a critical issue for the perturbative QCD of hard exclusive processes. Recent CLEO data on gamma gamma* -> pi^0 form factor clearly favor a pion DA close to the asymptotic form. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Radyushkin

In this paper, we study the pion leading-twist distribution amplitude $\phi_{2;\pi}(x,\mu)$ by improving the traditional light-cone harmonic oscillator model within the reconstruction of the function $\varphi_{2;\pi}(x)$. In order to…

High Energy Physics - Phenomenology · Physics 2021-07-28 Tao Zhong , Zhi-Hao Zhu , Hai-Bing Fu , Xing-Gang Wu , Tao Huang

The inclusive double-spin asymmetry, A_1^p, has been measured at COMPASS in deepinelastic polarised muon scattering off a large polarised NH3 target. The data, collected in the year 2007, cover the range Q2 > 1 (GeV/c)^2, 0.004 < x < 0.7…

High Energy Physics - Experiment · Physics 2014-11-20 The COMPASS Collaboration , M. G. Alekseev

We present a fit of the spin-independent electromagnetic polarisabilities of the proton to low-energy Compton scattering data in the framework of covariant baryon chiral effective field theory. Using the Baldin sum rule to constrain their…

Nuclear Theory · Physics 2014-03-19 Vadim Lensky , Judith A. McGovern

S.~Brodsky, F.~J.~Llanes-Estrada, and A.~Szczepaniak emphasized the importance of the $J=0$ fixed pole manifestation in real and (deeply) virtual Compton scattering measurements and argued that the $J=0$ fixed pole is universal, {\it i.e.},…

High Energy Physics - Phenomenology · Physics 2015-10-28 Dieter Müller , Kirill M. Semenov-Tian-Shansky
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