Equation-of-motion and Lorentz-invariance relations for tensor-polarized parton distribution functions of spin-1 hadrons

Kumano, S.; Song, Q. Q.

doi:10.1016/j.physletb.2022.136908

Cited by 4 publications

(1 citation statement)

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“…Extending to vector mesons, such as ρ and K * , there are five additional spin states, referred to as rank-2 tensor polarization [44][45][46][47], from the decomposition of the spin density matrix. The measurements of the rank-2 tensor polarization of vector mesons produced in e + e − [48][49][50][51] and pp [52][53][54][55][56][57][58][59][60] collisions have been carried out and the results incite extensive theoretical studies [46,[61][62][63][64][65][66][67][68][69][70][71][72][73][74][75]. A systematic study of the Lorentz decomposition of the quarkquark correlator suggests that the spin alignment of vector mesons is solely determined by a rank-2 tensor polarized FF D 1LL (z) independent of the spin of the fragmenting quark [76] and some parametrizations have been obtained by fitting the LEP data [48][49][50].…”

Section: Introductionmentioning

confidence: 99%

Inclusive and semi-inclusive production of spin-3/2 hadrons in $e^+e^-$ annihilation

Zhao,

Zhang,

Liang

et al. 2022

Preprint

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We investigate the inclusive and semi-inclusive productions of spin-3/2 hadrons, such as Ω, in unpolarized e + e − annihilation. The general differential cross sections are expressed in terms of structure functions in accordance to the polarization of the hadron and the azimuthal modulations. We derive a complete definition of quark transverse momentum dependent (TMD) fragmentation functions (FFs) to spin-3/2 hadrons for the first time from the decomposition of the quark-quark correlation matrix at leading twist, 14 of which are newly defined corresponding to rank-3 tensor polarized hadron. The collinear FFs are obtained by integrating over quark transverse momentum, and only two TMD FFs with rank-3 tensor polarization have nonvanishing collinear counter parts. Then we perform a leading order calculation of the unpolarized differential cross sections. In the single-hadron inclusive production, only two structure functions are found nonzero and none of the rank-3 tensor polarized FFs contributes. For the nearly back-to-back two-hadron production, half of the 48 structure functions are found nonzero even if the spin of the second hadron is not analyzed, and ten of the rank-3 tensor polarized TMD FFs contribute. Therefore, one can study the rank-3 tensor polarized FFs via the production of a spin-3/2 hadron and an unpolarized hadron in unpolarized e + e − collision experiments. These newly defined FFs can be further applied in semi-inclusive deep inelastic scattering processes for the study of nucleon structures.

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