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R. Thiru Senthil

Publications and source records attributed to R. Thiru Senthil.

4 recordsLinked to original sources
arXiv2023

Blockwise inversion and algorithms for inverting large partitioned matrices

Block matrix structure is commonly arising is various physics and engineering applications. There are various advantages in preserving the blocks structure while computing the inversion of such partitioned matrices. In this context, using the blockwise matrix inversion technique, inversions of large matrices with different ways of memory handling are presented, in this article. An algorithm for performing inversion of a matrix which is partitioned into a large number of blocks is presented, in which inversions and multiplications involving the blocks are carried out with parallel processing. Optimized memory handling and efficient methods for intermediate multiplications among the partitioned blocks are implemented in this algorithm. The developed programs for the procedures discussed in this article are provided in C language and the parallel processing methodology is implemented using OpenMP application programming interface. The performance and the advantages of the developed algorithms are highlighted.

math.NA↗
arXiv2022

A simulation study of tau neutrino events at the ICAL detector in INO

We present the first detailed simulation study of tau neutrino-induced charged current (CC) events from atmospheric neutrino interactions in the Iron Calorimeter (ICAL) detector at the proposed India-based Neutrino Observatory (INO) laboratory. Since the intrinsic atmospheric neutrino flux at few to 10s of GeV energy comprises only electron and muon neutrinos (and anti-neutrinos) with negligible tau neutrino component, any signature of atmospheric tau neutrinos is a signal for neutrino oscillations. We study the tau leptons produced through these CC interactions via their hadronic decay. These events appear as an excess over the neutral current (NC) background where hadrons are the only observable component. We find that the presence of tau neutrinos in the atmospheric neutrino flux can be demonstrated to nearly $4σ$ confidence with 10 years data; in addition, these events are sensitive to the neutrino oscillation parameters, $\sin^2θ_{23}$ and $\vert Δm_{31}^2 \vert$ (or $\vert Δm_{32}^2 \vert$), in the 2--3 sector. Finally, we show that combining these events with the standard muon analysis which is the core goal of ICAL further improves the precision with which these parameters, especially the octant of $θ_{23}$, can be measured.

hep-ph↗
arXiv2022

Tau Neutrinos in the Next Decade: from GeV to EeV

Tau neutrinos are the least studied particle in the Standard Model. This whitepaper discusses the current and expected upcoming status of tau neutrino physics with attention to the broad experimental and theoretical landscape spanning long-baseline, beam-dump, collider, and astrophysical experiments. This whitepaper was prepared as a part of the NuTau2021 Workshop.

hep-ph↗