Hopf algebras and Quantum groups with their treatments in particle physics
In the recent years’ Hopf algebras have been introduced to describe certain combinatorial properties of quantum field... more
In the recent years’ Hopf algebras have been introduced to describe certain combinatorial properties of quantum field theories.I have a short review of Hopf algebras and Quantum groups in this lecture. I will give a basic introduction to these algebras and objects and review some occurrences in particle
physics and explain our conclude and ideas in this matter with some examples.
Radiative Symmetry Breaking in the Supersymmetric Minimal B− L Extended Standard Model
Master's Thesis. Subject: Theoretical Particle Physics and Phenomenology.
Higgs Boson Mass Predictions in SUGRA Unification and Recent LHC-7 Results
by Sujeet Akula
LHC-7 has narrowed down the mass range of the light Higgs boson. This result is consistent with the supergravity... more LHC-7 has narrowed down the mass range of the light Higgs boson. This result is consistent with the supergravity unification framework and the current Higgs boson mass window implies a rather significant loop correction to the tree value pointing to a relatively heavy scalar sparticle spectrum with universal boundary conditions. It is shown that the largest value of the Higgs boson mass is obtained on the Hyperbolic Branch of radiative breaking. The implications of light Higgs boson in the broader mass range of 115 GeV to 131 GeV and a narrower range of 123 GeV to 127 GeV are explored in the context of the discovery of supersymmetry at LHC-7 and for the observation of dark matter in direct detection experiments.
Undergraduate Thesis "A relativistic/quantum model of atomic structures from particles to the atom"
To submit with my college transfer application for next fall. Hopefully it will help me get into a decent physics program someplace.
This thesis covers pair production, particles, quark confinement, the nucleus and a relativistic lattice model for the... more This thesis covers pair production, particles, quark confinement, the nucleus and a relativistic lattice model for the atom. Much of my previous work is included and updated, with considerable new material.
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Seen by: and 9 moreNaturalness, Supersymmetry and Implications for LHC and Dark Matter
by Sujeet Akula
Submitted for publication
It is shown that the Hyperbolic Branch of the radiative electroweak symmetry breaking contains in it three regions:... more It is shown that the Hyperbolic Branch of the radiative electroweak symmetry breaking contains in it three regions: the Focal Point, Focal Curves, and Focal Surfaces. Further, the Focal Point is shown to lie on the boundary of a Focal Curve. These focal regions allow for a small $\mu$ while scalar masses can become large and may lie in the several TeV region. It is shown that for the mSUGRA model the current LHC-7 constraint depletes the Focal Point region while regions on Focal Curves and Focal Surfaces remain largely intact. The LHC implications for models which lie on Focal Curves are briefly discussed as well as the implications of dark matter constraints for the Focal Point, Focal Curves and Focal Surfaces are discussed.
Excess Observed in CDF $B^0_s \to μ^{+} μ^{-}$ and SUSY at the LHC
by Sujeet Akula
Published in Phys. Rev. D 84, 115011 (2011)
The recent excess observed by CDF in $B^0_s \to \mu^{+} \mu^{-}$ is interpreted in terms of a possible supersymmetric... more The recent excess observed by CDF in $B^0_s \to \mu^{+} \mu^{-}$ is interpreted in terms of a possible supersymmetric origin. An analysis is given of the parameter space of mSUGRA and non-universal SUGRA models under the combined constraints from LHC-7 with 165 pb$^{-1}$ of integrated luminosity, under the new XENON-100 limits on the neutralino-proton spin independent cross section and under the CDF $B^0_s \to \mu^{+} \mu^{-}$ 90% C.L. limit reported to arise from an excess number of dimuon events. It is found that the predicted value of the branching ratio $B^0_s \to \mu^{+} \mu^{-}$ consistent with all the constraints contains the following set of NLSPs: chargino, stau, stop or CP odd (even) Higgs. The lower bounds of sparticles, including those from the LHC, XENON and CDF $B^0_s\to \mu^+\mu^-$ constraint, are exhibited and the shift in the allowed range of sparticle masses arising solely due to the extra constraint from the CDF result is given. It is pointed out that the two sided CDF 90% C.L. limit puts upper bounds on sparticle masses. An analysis of possible signatures for early discovery at the LHC is carried out corresponding to the signal region in $B^0_s \to \mu^{+} \mu^{-}$. Implications of GUT-scale non-universalities in the gaugino and Higgs sectors are discussed. If the excess seen by the CDF Collaboration is supported by further data from LHCb or D0, this new result could be a harbinger for the discovery of supersymmetry.
Procesamiento de Imágenes basado en un Sistema de Creación y Muerte de Partículas
Thesis - M.Sc. in Computing and Industrial Mathematics - Center for Research in Mathematics - Mexico
Filtrado no lineal de imágenes basado en un sistema de creación y muerte de partículas. Filtrado no lineal de imágenes basado en un sistema de creación y muerte de partículas.
The PRISM/PRIME Project
by Roger Barlow
Lepton Flavour violation is predicted by many theories beyond the standard model. In the muon sector such a violation... more Lepton Flavour violation is predicted by many theories beyond the standard model. In the muon sector such a violation entails not only direct μ→eγ decay but also the conversion process μ→e. To measure this to high precision requires a large number of muons of very similar energy, and this is difficult to achieve from a muon target with conventional beam optics. PRISM is an FFAG system designed to accept large numbers of muons (10**12/sec) with a wide range of energies, and render them monochromatic by accelerating the less energetic muons and decelerating the more energetic ones. To preserve Liouvilleʼs theorem, this is accompanied by a broadening in the timing of the muons, hence the name ʼPhase Rotated Intense Slow Muon source.ʼ The principles of this device have been demonstrated and components prototyped. PRIME is a detector (PRISM Muon Electron Conversion) which has been designed to stop 20 MeV bunches of muons in a thin foil, giving a very clean signal and reaching a background sensitivity of 10**−18, four orders of magnitude better than todayʼs limits and probing the interesting region for BSM theories.
Trimaximal mixing with predicted θ_13 from a new type of constrained sequential dominance
Co-authored with Stefan Antusch, Stephen F. King, Christoph Luhn; published in Nucl.Phys. B856 (2012) 328-341
Following the recent T2K indication of a sizeable reactor angle, we present a class of models which fix \theta_{13}... more Following the recent T2K indication of a sizeable reactor angle, we present a class of models which fix \theta_{13} while preserving trimaximal solar mixing. The models are based on a new type of constrained sequential dominance involving new vacuum alignments, along the (1,2,0)^T or (1,0,2)^T directions in flavour space. We show that such alignments are easily achieved using orthogonality, and may replace the role of the subdominant flavon alignment (1,1,1)^T in constrained sequential dominance. In such models, with a normal hierarchical spectrum, the reactor angle is related to a ratio of neutrino masses by \theta_{13} = \frac{\sqrt{2}}{3}\frac{m^\nu_2}{m^\nu_3}, leading to \theta_{13} \sim 5^\circ - 6^\circ, while the atmospheric angle is given by the sum rule \theta_{23} \approx 45^\circ + \sqrt{2} \theta_{13} \cos \delta. We find that leptogenesis is unsuppressed due to the violation of form dominance and that the CP violating phase responsible for leptogenesis is precisely equal to the Dirac CP phase \delta, providing a direct link between leptogenesis and neutrino mixing in this class of models.

