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We re-examine the use of sum rules in the extraction of light quark masses and discuss a number of potential problems with existing analyses. The most important issue is that of the overall normalization of the hadronic spectral functions…

High Energy Physics - Phenomenology · Physics 2009-09-25 Tanmoy Bhattacharya , Rajan Gupta , Kim Maltman

Decoupling of heavy quarks at low energies can be described by means of an effective theory as shown by S. Weinberg in Ref. [1]. We study the decoupling of the charm quark by lattice simulations. We simulate a model, QCD with two degenerate…

High Energy Physics - Lattice · Physics 2017-11-22 Francesco Knechtli , Tomasz Korzec , Björn Leder , Graham Moir

QCD sum-rules are related to an integral of a hadronic spectral function, and hence must satisfy integral inequalities which follow from positivity of the spectral function. Development of these Holder inequalities and their application to…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. G. Steele

In this work, we evaluate the accuracy of the leading order results in Shifman-Vainshtein-Zakharov (SVZ) sum rules and the leading power results in the heavy quark limit for the mass of $\Lambda_{Q}$. Up to dim-5 condensate contributions…

High Energy Physics - Phenomenology · Physics 2020-05-12 Zhen-Xing Zhao , Run-Hui Li , Yu-Ji Shi , Si-Hong Zhou

Lattice sum rules are checked using lattice perturbation theory. The action sum rule gives a relation between the quark-antiquark potential, its logarithmic derivative with respect to distance and the expectation value of the action; the…

High Energy Physics - Lattice · Physics 2007-05-23 B. Feuerbacher

We present the first determination of charge symmetry violation (CSV) in the spin-dependent parton distribution functions of the nucleon. This is done by determining the first two Mellin moments of the spin-dependent parton distribution…

Direct measurements of the the structure functions F_1^{nu p} and F_1^{nu n} at a neutrino factory would allow for an accurate extraction of alpha_s from the Q^2-dependence of the Bjorken sum rule, complementing that based on the…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Weiss

This is the continuation of a previous article, in which the Bjorken and Voloshin sum rules were interpreted as statements of conservation of probability and energy. Here the formalism is extended to higher moments of the Hamiltonian…

High Energy Physics - Phenomenology · Physics 2014-11-17 Chi-Keung Chow , Dan Pirjol

We present a general construction of the spin content of the Bethe-Salpeter amplitudes (covariant wave functions) for heavy hadrons with arbitrary orbital excitations, using representations of the Lorentz group. These wave functions…

High Energy Physics - Phenomenology · Physics 2008-02-03 F. Hussain , G. Thompson , J. G. Koerner

We perform a NLO analysis of polarized deep inelastic scattering data to test two different solutions to the so called spin crisis: one of them based on the axial gluon anomaly and consistent with the Bjorken sum rule and another one, where…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. Bourrely , F. Buccella , O. Pisanti , P. Santorelli , J. Soffer

This letter is an investigation of the pion form factor utilizing recently developed effective field theory techniques. The primary results reported are: Both the transition and electromagnetic form factors are corrected at order…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ira Z. Rothstein

The small fraction of the quark polarization of the nucleon obtained in deep inelastic lepton scattering is a consequence of a wrong assumption on the flux of polarized virtual photons in the analysis of the data. The true flux of polarized…

High Energy Physics - Phenomenology · Physics 2016-04-12 Bogdan Povh , Thomas Walcher

We discuss application of the physical QCD effective charge $\alpha_V$, defined via the heavy-quark potential, in perturbative calculations at next-to-leading order. When coupled with the Brodsky-Lepage-Mackenzie prescription for fixing the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Binger , Chueng-Ryong Ji , David G. Robertson

We extend a recent sum rule calculation for inelastic quarkonium-hadron interactions to realistic parton distribution functions; we also include finite target-mass corrections. Both modifications are shown to have no significant effect on…

High Energy Physics - Phenomenology · Physics 2009-07-09 D. Kharzeev , H. Satz , A. Syamtomov , G. Zinovjev

Non-perturbative proof is presented of a unique version of Goldstone theorem, that electromagnetism contributes to the masses of spinless particles of quark-antiquark bound states in the form of a commutator of the quark electric matrix and…

High Energy Physics - Phenomenology · Physics 2014-03-14 R. Ling , B. L. Lee , H. S. Zong , J. L. Ping

We consider the effects of a light quark mass in the soft-collinear effective theory (SCET) and we apply them to B -> X_s gamma in the endpoint region. We find that the reparameterization invariance can be extended by including the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Junegone Chay , Chul Kim , Adam K. Leibovich

Results of applying analytic perturbation theory (APT) to the Bjorken sum rule are presented. We study the third-order QCD correction within the analytic approach and investigate its renormalization scheme dependence. We demonstrate that,…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. A. Milton , I. L. Solovtsov , O. P. Solovtsova

New sum rules for $B\to \pi,K $ and $B\to \rho,K^*$ form factors are derived from the correlation functions expanded near the light-cone in terms of B-meson distribution amplitudes. The contributions of quark-antiquark and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexander Khodjamirian , Thomas Mannel , Nils Offen

The Burkhardt-Cottingham (BC) sum rule connects the twist-3 light-cone parton distribution function (PDF) $g_{T}(x)$ to the twist-2 helicity PDF $g_{1}(x)$. The chiral-odd counterpart of the BC sum rule relates the twist-3 light-cone PDF…

High Energy Physics - Phenomenology · Physics 2022-03-29 Shohini Bhattacharya , Andreas Metz

A calculation of the non-singlet part of spin dependent structure function, $xg_1^{NS}(x,Q^2)$ and associated sum rule, the Bjorken Sum rule up to next-next-to-leading order(NNLO) is presented. We use a unified approach incorporating Regge…

High Energy Physics - Phenomenology · Physics 2017-03-20 Nayan Mani Nath , Jayanta Kumar Sarma
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