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arXiv · 2008.07531

TMD factorization for dijet and heavy-meson pair in DIS

Rafael F. del Castillo·Miguel G. Echevarria·Yiannis Makris·Ignazio Scimemi
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Abstract

We study a transverse momentum dependent (TMD) factorization framework for the processes of di-jet and heavy meson pair production in deep-inelastic-scattering in an electron-proton collider, considering the measurement of the transverse momentum imbalance of the two hard probes in the Breit frame. For the factorization theorem we employ soft-collinear and boosted-heavy-quark effective field theories. The factorized cross-section for both processes is sensitive to gluon unpolarized and linearly polarized TMD distributions and requires the introduction of a new soft function. We calculate the new soft function here at one loop, regulating rapidity divergences with the $\delta$-regulator. In addition, using a factorization consistency relation and a universality argument regarding the heavy-quark jet function, we obtain the anomalous dimension of the new soft function at two loops.

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Rafael F. del Castillo, Miguel G. Echevarria, Yiannis Makris, Ignazio Scimemi. 2020-08-17. TMD factorization for dijet and heavy-meson pair in DIS. https://doi.org/10.1007/jhep01(2021)088

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