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Related papers: On the anomalous dimension for the transversity di…

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We report on the first calculation of the structure function g_1 in polarised deep-inelastic scattering to the third order in massless perturbative QCD. The calculation follows the dispersive approach already used for the corresponding…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Vogt , S. Moch , M. Rogal , J. A. M. Vermaseren

We carry out a comparative analysis of the transversities and the longitudinally polarized parton distribution functions in light of the first empirical extraction of the transversity distributions recently done by Anselmino et al. It is…

High Energy Physics - Phenomenology · Physics 2007-11-29 M. Wakamatsu

Transversity distribution is one of the three fundamental parton distributions that completely describe polarized spin 1/2 nucleon. Its chiral odd nature prevented for many years its experimental exploration, however presently we have…

High Energy Physics - Phenomenology · Physics 2013-04-03 Alexei Prokudin

Tensor-polarized structure functions of a spin-1 hadron are additional observables which do not exist for the spin-1/2 nucleon. They could probe novel aspects of the internal hadron structure. Twist-2 tensor-polarized structure functions…

High Energy Physics - Phenomenology · Physics 2017-05-24 W. Cosyn , Yu-Bing Dong , S. Kumano , M. Sargsian

Estimates of the T-odd fragmentation and distribution functions, $H_1^\perp$ and $f_{1T}^{\perp}$, are presented. Our evaluations are based on a fit on experimental data of polarized proton-proton scattering. We use our estimates to make…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Boglione , P. J. Mulders

The transversity distribution for $u$ and $d$ quarks is usually extracted from data on spin asymmetries in Semi Inclusive Deep Inelastic Scattering (SIDIS): however, due to its chiral odd nature, it has to be coupled to another chiral odd…

High Energy Physics - Phenomenology · Physics 2020-11-18 M. Anselmino , R. Kishore , A. Mukherjee

Future high luminosity polarized deep--inelastic scattering experiments will improve both the knowledge of the spin sub--structure of the nucleons and contribute further to the precision determination of the strong coupling constant, as…

High Energy Physics - Phenomenology · Physics 2022-02-16 J. Blümlein , P. Marquard , C. Schneider , K. Schönwald

We report on recent progress on the splitting functions for the evolution of parton distributions and related quantities, the (lightlike) cusp anomalous dimensions, in perturbative QCD. New results are presented for the four-loop…

High Energy Physics - Phenomenology · Physics 2018-08-29 A. Vogt , F. Herzog , S. Moch , B. Ruijl , T. Ueda , J. A. M. Vermaseren

We calculate the unpolarized and polarized three--loop anomalous dimensions and splitting functions $P_{\rm NS}^+, P_{\rm NS}^-$ and $P_{\rm NS}^{\rm s}$ in QCD in the $\overline{\sf MS}$ scheme by using the traditional method of…

High Energy Physics - Phenomenology · Physics 2021-09-15 J. Blümlein , P. Marquard , C. Schneider , K. Schönwald

A new, preliminary global analysis of the experimental data on azimuthal asymmetries in SIDIS from HERMES and COMPASS collaborations, and in e+e- --> h_1 h_2 X processes from the BELLE collaboration, is performed. The new data allow for a…

High Energy Physics - Phenomenology · Physics 2015-05-13 M. Anselmino , M. Boglione , U. D'Alesio , A. Kotzinian , S. Melis , F. Murgia , A. Prokudin , C. Turk

We present the results of our QCD analysis for non-singlet unpolarized quark distributions and structure function $F_2(x,Q^2)$ up to N$^3$LO. In this regards 4-loop anomalous dimension can be obtain from the Pad\'e approximations. The…

High Energy Physics - Phenomenology · Physics 2010-02-03 Ali N. Khorramian , H. Khanpour , S. Atashbar Tehrani

We present [1] the first simultaneous extraction of the transversity distribution and the Collins fragmentation function, obtained through a combined analysis of experimental data on azimuthal asymmetries in semi-inclusive deep inelastic…

High Energy Physics - Phenomenology · Physics 2007-07-10 M. Anselmino , M. Boglione , U. D'Alesio , A. Kotzinian , F. Murgia , A. Prokudin , C. Turk

We discuss transverse polarization distribution and fragmentation functions, in particular, T-odd functions with transverse momentum dependence, which might be relevant for the description of single transverse spin asymmetries. The role of…

High Energy Physics - Phenomenology · Physics 2011-04-15 Daniel Boer

We construct a Hilbert holomorphic function space $H$ on the unit disk such that the polynomials are dense in $H$, but the odd polynomials are not dense in the odd functions in $H$. As a consequence, there exists a function $f$ in $H$ that…

Functional Analysis · Mathematics 2020-07-01 Javad Mashreghi , Pierre-Olivier Parisé , Thomas Ransford

The impact of the resummation of leading small-$x$ terms in the anomalous dimensions is briefly summarized for the evolution of non--singlet and singlet polarized structure functions.

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein , A. Vogt

The feasibility of measuring chiral-odd parton distribution functions in polarized Drell-Yan and semi-inclusive experiments has renewed theoretical interest in their study. Models of hadron structure have proven succesful in describing the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Sergio Scopetta , Vicente Vento

A method is discussed to determine the hitherto unknown u-quark transversity distribution from a planned HERMES measurement of a single-spin asymmetry in semi-inclusive pion electroproduction off a transversely polarized target. Assuming…

High Energy Physics - Phenomenology · Physics 2009-01-07 V. A. Korotkov , W. -D. Nowak , K. A. Oganessyan

In recent years information on the transversity distribution $h_1$ has been obtained combining the Collins asymmetry results from semi-inclusive deep inelastic scattering (SIDIS) data on transversely polarized nucleon targets with the…

High Energy Physics - Phenomenology · Physics 2019-06-12 V. Barone , F. Bradamante , A. Bressan , A. Kerbizi , A. Martin , A. Moretti , J. Matousek , G. Sbrizzai

We give an overview of recent developments in the computation of the anomalous dimension matrix of composite operators in non-forward kinematics. The elements of this matrix set the evolution of non-perturbative parton distributions such as…

High Energy Physics - Phenomenology · Physics 2026-01-06 S. Van Thurenhout

We present a new estimate of the exponent governing the small-x behaviour of the nonsinglet structure function g_1(p-n) derived under the assumption that the Bjorken Sum Rule is valid. We use the world wide average of alpha_s and the NNNLO…

High Energy Physics - Phenomenology · Physics 2009-11-07 Anke Knauf , Michael Meyer-Hermann , Gerhard Soff