Abstract
We present an updated extraction of the transversity parton distribution based on the analysis of pion-pair production in deep-inelastic scattering off transversely polarized targets in collinear factorization. Data for proton and deuteron targets make it possible to perform a flavor separation of the valence components of the transversity distribution, using di-hadron fragmentation functions taken from the semi-inclusive production of two pion pairs in back-to-back jets in e + e − annihilation. The e + e − data from Belle have been reanalyzed using the replica method and a more realistic estimate of the uncertainties on the chiral-odd interference fragmentation function has been obtained. Then, the transversity distribution has been extracted by using the most recent and more precise COMPASS data for deep-inelastic scattering off proton targets. Our results represent the most accurate estimate of the uncertainties on the valence components of the transversity distribution currently available.
Highlights
In this paper, we update the extraction of Dihadron Fragmentation Functions (DiFFs) from e+e− annihilation data by performing the fit using the replica method [16]
We present an updated extraction of the transversity parton distribution based on the analysis of pion-pair production in deep-inelastic scattering off transversely polarized targets in collinear factorization
The transversity parton distribution function is an essential piece of information on the nucleon at leading twist
Summary
We consider the process (k) + N (P ) → (k ) + H1(P1) + H2(P2) + X, where denotes the incoming lepton with four-momentum k, N the nucleon target with momentum P , mass M , and polarization S, H1 and H2 the produced unpolarized hadrons with momenta P1, P2 and masses M1, M2, respectively. For DiFFs it is natural to introduce the vector RT as the component of R perpendicular to P and Ph. the cross section will depend on the azimuthal angles of both RT and S. measured in the plane perpendicular to (P, q). In the one-photon exchange approximation and neglecting the lepton mass, to leading order in the couplings, the differential cross section for the two-hadron SIDIS of an unpolarized lepton off a transversely polarized nucleon target reads [16]. The H1 q is a chiral-odd DiFF describing the correlation between the transverse polarization of the fragmenting parton with flavor q and the azimuthal orientation of the plane containing the momenta of the detected hadron pair. Using eqs. (2.9) and (2.10), we can extract the valence components of transversity from the measurement of SSA ApSIDIS and ADSIDIS, and from the knowledge of DiFFs through eqs. (2.11) and (2.12)
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