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DOE OSTI · 1784283

Gauge-invariant TMD factorization for Drell-Yan hadronic tensor at small $\mathcal{x}$

Balitsky, I.
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Abstract

The Drell-Yan hadronic tensor for electromagnetic (EM) current is calculated in the Sudakov region $s\gg Q^2 \gg q^2_⊥$ with $\frac{1}{Q^2}$ accuracy, first at the tree level and then with the double-log accuracy. It is demonstrated that in the leading order in $N_c$ the higher-twist quark-quark-gluon TMDs reduce to leading-twist TMDs due to QCD equation of motion. The resulting tensor for unpolarized hadrons is EM gauge-invariant and depends on two leading-twist TMDs: $f_1$ responsible for total DY cross section, and Boer-Mulders function $h\frac{⊥}{1}$. The order-of-magnitude estimates of angular distributions for DY process seem to agree with LHC results at corresponding kinematics.

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BibTeXRIS

Balitsky, I.. 2021-05-06. Gauge-invariant TMD factorization for Drell-Yan hadronic tensor at small $\mathcal{x}$. https://doi.org/10.1007/jhep05(2021)046

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