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Asymptotic Analysis of Multi-scale, Multi-loop Feynman Diagrams
It is very challenging to solve multi-scale, multi-loop Feynman diagrams analytically. The presence of different kinematic scales makes the computation of Feynman diagrams very difficult, sometimes impossible to get the ...
Applications of Holography
This thesis consists of four parts. In the first part of the thesis, we investigate the phase
structure of Einstein-Maxwell-Scalar system with a negative cosmological constant. For
the conformally coupled scalar, an ...
Aspects of time dependence in quantum quenches
In this thesis we study the time dependence of correlators such as Green function, entanglement (Renyi) entropy and mutual information following quantum quench in Conformal Field Theories (CFTs) and their holographic duals ...
Quantum dynamics of weak measurements: Understanding the Born rule and applying weak error correction
Projective measurement is used as a fundamental axiom in quantum mechanics, even though it is discontinuous and cannot predict which measured operator eigen state will be observed in which experimental run. The probabilistic ...
Understanding Conformal Field Theory in Mellin Space
In the last decade, there has been tremendous progress in understanding conformal eld theories in
more than two space-time dimensions. The numerical bootstrap framework has been pushed to a very
advanced level of ...
Heavy flavour and direct photon probes of the gluon Sivers function
Traditionally the production of heavy quarkonia, heavy-flavour mesons as well as of direct photons,
has been used to constrain the gluon density inside the proton. In this thesis, I have assessed
various heavy flavour ...
Higgs phenomenology and Dark Matter prospects in MSSM, NMSSM and U(1) extended SM
Particle physics today is at a juncture where all particles predicted within Standard
Model (SM) have been discovered at the particle colliders while no particles from the realm
of physics beyond the Standard Model (BSM) ...
Applications of Moonshine Symmetry in String Theory
In this thesis we study the applications of Mathieu moonshine symmetry to compacti cations of supersymmetric
string theories. These theories are compacti ed on a 6 dimensional manifold K3 T2. The
main ingredient in ...
Novel Pathways for Beyond Standard Model Physics
In the light of discovering the Higgs boson and null results at the LHC, we look for new pathways
for Beyond Standard Model Physics, which could accommodate at least one of the Standard Model
shortcomings. (i) Unification ...
Aspects of conformal field theories at finite temperature
In this thesis we have studied broadly two aspects of thermal field theory. We began by examining how
the macroscopic system (described by relativistic hydrodynamics) behalves in presence of microscopic
anomalies. We ...