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We present a leading evaluation of the resummed coefficient function for the shape function. It is also shown that the coefficient function is short-distance-dominated. Our results allow relating the shape function computed on the lattice…

High Energy Physics - Phenomenology · Physics 2007-05-23 U. Aglietti

We present the results of the next-to-next-to-leading order QCD analysis of the recently revised experimental data of the CCFR collaboration for the $xF_3$ structure function using the Jacobi polynomial expansion method. The effects of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. L. Kataev , A. V. Kotikov , G. Parente , A. V. Sidorov

We accomplish for the first time the two-loop computation of the leading-twist contribution to the pion electromagnetic form factor by employing the effective field theory formalism rigorously. The next-to-next-to-leading-order…

High Energy Physics - Phenomenology · Physics 2024-11-07 Yao Ji , Bo-Xuan Shi , Jian Wang , Ye-Fan Wang , Yu-Ming Wang , Hui-Xin Yu

It is performed for the first time a next-to-next-to-leading order analysis of deep inelastic structure functions $F_2$ and $F_L$ using the recently determined first moments of the non-singlet anomalous dimensions and the corresponding…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. V. Kotikov , V. G. Krivokhizhin , G. Parente

The simultaneous QCD analysis of the $xF_3$ structure functions measured in deep-inelastic scattering by several collaborations is done up to 3--loop order of QCD. The x dependence of the higher--twist contribution is evaluated and turns…

High Energy Physics - Phenomenology · Physics 2011-04-15 A. V. Sidorov

We calculate the next-to-leading order QCD corrections to $B$ to scalar meson form factors from QCD light-cone sum rules with $B$ meson light-cone distribution amplitudes. We demonstrate that the $B$ meson-to-vacuum correlation functions…

High Energy Physics - Phenomenology · Physics 2023-10-17 Xue-Ying Han , Long-Shun Lu , Cai-Dian Lü , Yue-Long Shen , Bo-Xuan Shi

Perturbative cross-sections in QCD are beset by logarithms of kinematic invariants, whose arguments vanish when heavy particles are produced near threshold. Contributions of this type often need to be summed to all orders in the coupling,…

High Energy Physics - Phenomenology · Physics 2020-01-08 N. Bahjat-Abbas , D. Bonocore , J. Sinninghe Damsté , E. Laenen , L. Magnea , L. Vernazza , C. D. White

We show that the leading power corrections to the event shape distributions can be resummed into nonperturbative shape functions that do not depend on the center-of-mass energy and measure the energy flow in the final state. In the case of…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. P. Korchemsky

In this short review we elaborate the significance of resummation in $k_T$ factorization theorem, and summarize the recent progresses in the calculations of the next-to-leading order contributions to B meson decays from the perturbative QCD…

High Energy Physics - Phenomenology · Physics 2021-01-05 Shan Cheng , Zhen-jun Xiao

This study explores the leading contributions at the next-to-leading order for the event shape variable, spherocity. Our investigation is presented through a combination of analytical derivations and graphical representations. Additionally,…

High Energy Physics - Phenomenology · Physics 2024-03-26 Shubham Mishra

We report the results of including resummed splitting functions in the QCD evolution equations at small x, and discuss the predictions that follow for the deep inelastic structure functions. *Contribution at XXX Rencontres de Moriond, Les…

High Energy Physics - Phenomenology · Physics 2016-09-01 F. Hautmann

Motivated by applications in thermal QCD and cosmology, we elaborate on a general method for computing next-to-leading order spectral functions for composite operators at vanishing spatial momentum, accounting for real, virtual as well as…

High Energy Physics - Phenomenology · Physics 2015-05-30 M. Laine , A. Vuorinen , Y. Zhu

We evaluate the next-to-next-to-leading order corrections to the hard-scattering amplitude of the photon-to-pion transition form factor. Our approach is based on the predictive power of the conformal operator product expansion, which is…

High Energy Physics - Phenomenology · Physics 2009-11-07 B. Melic , D. Müller , K. Passek-Kumericki

We study next-to-leading order contributions to the soft static fermion dispersion relation in hot QED. We derive an expression for the complete next-to-leading order contribution to the retarded fermion self-energy. The real and imaginary…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. E. Carrington

Infrared safe differential cross sections, such as event shape distributions, can be measured over wide kinematic ranges, from regions where fixed order calculations are adequate to regions where nonperturbative dynamics dominate. Such…

High Energy Physics - Phenomenology · Physics 2014-11-17 George Sterman

We summarize our recent results on small x resummation in full QCD with n_f quark flavours and discuss their phenomenological impact in the extraction of parton distributions from present day structure function data and their extrapolation…

High Energy Physics - Phenomenology · Physics 2009-04-14 Guido Altarelli , Richard D Ball , Stefano Forte

The small $x$ behavior of the flavor non-singlet $g_{1}$ structure function is analysed numerically by taking into account the all-order resummation of $\alpha_{s} \ln^{2}x $ terms. We include a part of the next-to-leading logarithmic…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yuichiro Kiyo , Jiro Kodaira , Hiroshi Tochimura

The pion and kaon electromagnetic form factors $F_M(Q^2)$ are calculated at the leading order of pQCD using the running coupling constant method. In calculations the leading and next-to-leading order terms in $\alpha_S((1-x)(1-y)Q^2)$…

High Energy Physics - Phenomenology · Physics 2009-10-31 Shahin S. Agaev

The longitudinal structure function is considered at the next-to-leading order approximation using the expansion method, as defined by M.B.Gay Ducati and P.B.Goncalves [Phys.Lett.B {\bf390}, 401 (1997)] and further developed by Jingxuan…

High Energy Physics - Phenomenology · Physics 2025-04-04 G. R. Boroun , Yanbing Cai

I discuss general unified formulas for resumming collinear and soft contributions to QCD hard scattering cross sections at large x. Expansions of the resummed cross sections to next-to-next-to-next-to-leading order are also shown along with…

High Energy Physics - Phenomenology · Physics 2009-11-10 Nikolaos Kidonakis
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