XXVI DAE-BRNS High Energy Physics Symposium 2024

Quark distribution inside π and ρ mesons

Not scheduled

20m

Swatantrata Bhavan, Banaras Hindu University, Varanasi

Postar Heavy ion and QCD

Speaker

Tanisha .

Description

We have investigated the valence quark parton distribution functions (PDFs) associated with spin-$0$ $\pi$ meson and spin-$1$ $\rho$ meson, utilizing light-front dynamics at leading twist. The $\pi$ meson is characterized by a single unpolarized quark PDF, $f_1(x)$, whereas the $\rho$ meson is represented by four distinct PDFs: the unpolarized $f_1(x)$, the helicity distribution $g_1(x)$, the transversity distribution $h_1(x)$, and the tensor PDF $f_{1LL}(x)$. Additionally, an examination of the PDF sum rules and their associated positivity constraints have been conducted. The PDFs are also evolved to higher values of $Q^2$ through next-to-leading order (NLO) DGLAP evolution, facilitating meaningful comparison with predictions from alternative models. Moreover, the structure function can be calculated based on these PDFs, thereby enhancing the understanding of mesonic structures.