Abstract

Using recently derived results for one-loop hadronic splitting functions from a nonlocal implementation of chiral effective theory, we study the contributions from pseudoscalar meson loops to flavor asymmetries in the proton. Constraining the parameters of the regulating functions by inclusive production of $n$, $\Delta^{++}$, $\Lambda$ and $\Sigma^{*+}$ baryons in $pp$ collisions, we compute the shape of the light antiquark asymmetry $\bar{d}-\bar{u}$ in the proton and the strange asymmetry $s-\bar{s}$ in the nucleon sea. With these constraints, the magnitude of the $\bar{d}-\bar{u}$ asymmetry is found to be compatible with that extracted from the Fermilab E866 Drell-Yan measurement, with no indication of a sign change at large values of $x$, and an integrated value in the range $\langle \bar d-\bar u \rangle \approx 0.09-0.17$. The $s-\bar s$ asymmetry is predicted to be positive at $x > 0$, with compensating negative contributions at $x=0$, and an integrated $x$-weighted moment in the range $\langle x (s-\bar s) \rangle \approx (0.9-2.5) \times 10^{-3}$.

Highlights

  • It is well known that a complete characterization of nucleon substructure must go beyond three valence quarks

  • Using recently derived results for one-loop hadronic splitting functions from a nonlocal implementation of chiral effective theory, we study the contributions from pseudoscalar meson loops to flavor asymmetries in the proton

  • For the total strange asymmetries range found in this analysis, 0.9 × 10−3 ≲ hxðs − sÞi ≲ 2.5 × 10−3, the resulting correction to the weak angle lies in the range −2.4 × 10−3 ≲ Δsin2θW ≲ −0.9 × 10−3, or between 18% and 49% of the total quoted discrepancy [64,79]

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Summary

INTRODUCTION

It is well known that a complete characterization of nucleon substructure must go beyond three valence quarks. Understanding the nonperturbative features of strange quarks and antiquarks in the nucleon sea has been chiral symmetry breaking in QCD. From the calculated splitting functions, the parton distribution functions (PDFs) of the nucleon are obtained as convolutions of these with PDFs of the intermediate state mesons and baryons [23,24,25]. Using SU(3) relations for the intermediate state hadron PDFs, the only free parameters in the calculation of the asymmetries are the mass parameters appearing in the ultraviolet regulator functions These will be determined by fitting cross section data from inclusive baryon production in high energy pp scattering, using the same splitting functions that appear in the PDF asymmetries. V we summarize our results and discuss future measurements which could further constrain the PDF asymmetries experimentally

CONVOLUTION FORMULAS
BARE BARYON AND MESON PDFS
Operators and moments
SEA QUARK ASYMMETRIES IN THE PROTON
ΣÃ þ þ
Findings
CONCLUSION
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