Seminars

Semi-inclusive deep-inelastic scattering (SIDIS), where a lepton scatters off a hadron P producing an identified hadron H′ in the final state, is an important process for probing the internal structure of hadrons. Within the QCD factorization framework, SIDIS provides access to parton distribution functions (PDFs) and fragmentation functions (FFs). In this work, we first present the computation of next-to-next-to-leading order (NNLO) QCD corrections to unpolarized SIDIS. The calculation includes all relevant partonic channels, the evaluation of amplitudes and phase-space integrals, and the consistent treatment of ultraviolet and infrared divergences using dimensional regularization with renormalization and mass factorization. A phenomenological analysis shows that NNLO corrections significantly improve the stability of SIDIS cross-section predictions and reduce the dependence on the renormalization and factorization scales. We then extend the study to the first computation of NNLO pure QED and mixed QCD⊗QED corrections to both unpolarized and polarized SIDIS. These corrections further enhance perturbative stability and are important for achieving high-precision theoretical predictions for future experiments such as the Electron?Ion Collider (EIC).

Life is full of complex, evolving systems. Using tools from mathematics, physics, statistics, and AI, one can unravel patterns hidden within large datasets, and also model them. This talk offers a glimpse into how we decode real-world complexity using data science.

An element g of PSL(2,\mathbb{Z}[I])(Picard group) is called reversible if it is conjugate to its inverse. In this talk, we will count the number of reversible elements of trace up to T. This is based on a joint work with Debattam Das and Krishnendu Gangopadhyay. https://www.imsc.res.in/~anupdixit/IMSc-CMI-NT-seminar.html

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