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We develop a second order formalism for spin 1/2 fermions based on the projection over Poincar\'{e} invariant subspaces in the $(1/2,0)\oplus(0,1/2)$ representation of the homogeneous Lorentz group. Using $U(1)_{em}$ gauge principle we…

High Energy Physics - Phenomenology · Physics 2011-04-22 E. G. Delgado-Acosta , Mauro Napsuciale , Simon Rodriguez

Experiments at CEBAF will scan the intermediate-energy region of the QCD dynamics for the nucleon form factors and for Compton Scattering. These experiments will definitely clarify the role of resummed perturbation theory and of…

High Energy Physics - Phenomenology · Physics 2014-11-17 Claudio Coriano , Hsiang-nan Li , Cetin Savkli

We study two versions of lightcone sum rules to calculate the $\gamma^*\gamma\rightarrow\pi^0$ transition form factor (TFF) within QCD. While the standard version is based on fixed-order perturbation theory by means of a power-series…

High Energy Physics - Phenomenology · Physics 2022-02-16 Sergey Mikhailov , Alexandr Pimikov , N. G. Stefanis

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

We present a compact review of the status of QCD spectral sum rules until 2022. We emphasize the recent progresses for determining the QCD input parameters ($\alpha_s$, running quark masses, quark and gluon condensates) where their…

High Energy Physics - Phenomenology · Physics 2023-08-08 Stephan Narison

We compute perturbative corrections to $B \to \pi$ form factors from QCD light-cone sum rules with $B$-meson distribution amplitudes. Applying the method of regions we demonstrate factorization of the vacuum-to-$B$-meson correlation…

High Energy Physics - Phenomenology · Physics 2015-12-09 Yu-Ming Wang , Yue-Long Shen

We discuss the QCD sum rule calculation of the heavy-quark effective theory parameters, $\lambda_E$ and $\lambda_H$, which correspond to matrix elements representing quark-gluon three-body components in the $B$-meson wavefunction. We derive…

High Energy Physics - Phenomenology · Physics 2013-12-16 Tetsuo Nishikawa , Kazuhiro Tanaka

We calculate the leading twist valence quark distribution in the pion in the franework of QCD sum rules with nonlocal condensates. Particular attention has been paid to the correct account of the bilocal power corrections.

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

Detailed predictions for the scaled pion-photon transition form factor are given, derived with the method of light-cone sum rules and using pion distribution amplitudes with two and three Gegenbauer coefficients obtained from QCD sum rules…

High Energy Physics - Phenomenology · Physics 2014-03-03 S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

We construct QCD sum rules for nonperturbative studies without assuming the quark-hadron duality for the spectral density at low energy on the hadron side. Instead, both resonance and continuum contributions to the spectral density are…

High Energy Physics - Phenomenology · Physics 2021-01-04 Hsiang-nan Li , Hiroyuki Umeeda

We analyse the proton Compton-scattering differential cross section for photon energies up to 325 MeV using Chiral Effective Field Theory and extract new values for the electric and magnetic polarisabilities of the proton. Our EFT treatment…

Nuclear Theory · Physics 2013-01-25 Judith A. McGovern , Daniel R. Phillips , Harald W. Grießhammer

We present a new calculation of the B->pi form-factor f_+, relevant for the measurement of |V_{ub}| from semileptonic B->pi transitions, from QCD sum rules on the light-cone. The new element is the calculation of radiative corrections to…

High Energy Physics - Phenomenology · Physics 2010-02-03 Patricia Ball , Roman Zwicky

The earlier introduced method of calculation of quark distributions in hadrons, based on QCD sum rules, is improved. The imaginary part of the virtual photon forward scattering amplitude on some hadronic current is considered in the case,…

High Energy Physics - Phenomenology · Physics 2011-09-13 B. L. Ioffe , A. G. Oganesian

We compute the radiative corrections to the four-point amplitude $g+g \rightarrow A+A$ in massless Quantum Chromodynamics (QCD) up to order $a_s^4$ in perturbation theory. We used the effective field theory that describes the coupling of…

High Energy Physics - Phenomenology · Physics 2021-11-30 Arunima Bhattacharya , Maguni Mahakhud , Prakash Mathews , V. Ravindran

We present results for higher order perturbative corrections to Compton scattering in the generalized Bjorken kinematics. The approach we have used is based on the combination of two techniques: conformal operator product expansion on the…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky , A. Schaefer

We analyze the Fubini-Furlan-Rosetti sum rule in the framework of covariant baryon chiral perturbation theory to leading one-loop accuracy and including next-to-leading order polynomial contributions. We discuss the relation between the…

Nuclear Theory · Physics 2009-11-11 Véronique Bernard , Bastian Kubis , Ulf-G. Meißner

We consider the calculation of the pion-photon transition form factor $F^{\gamma^*\gamma\pi^0}(Q^2)$ within light-cone sum rules focusing attention to the low-mid region of momenta. The central aim is to estimate the theoretical…

High Energy Physics - Phenomenology · Physics 2016-06-22 S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

Proton Compton scattering is analyzed with the chiral Lagrangian. Partial-wave amplitudes are obtained by an analytic extrapolation of subthreshold reaction amplitudes computed in chiral perturbation theory, where the constraints set by…

High Energy Physics - Phenomenology · Physics 2011-08-25 A. M. Gasparyan , M. F. M. Lutz , B. Pasquini

The two--loop ${\cal O}(\alpha_s G_F m_t^2)$ corrections to the $b\bar b$ decay rate of the Standard Model Higgs boson as well as its production via $e^+e^- \to ZH$ will be presented. These QCD corrections are obtained by using a low-energy…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael Spira

We use the transfer matrix formalism to derive non-perturbative sum rules in Wilson's lattice QCD with N_f flavours of quarks. The discretization errors on these identities are treated in detail. As an application, it is shown how the sum…

High Energy Physics - Lattice · Physics 2008-11-26 Harvey B. Meyer
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