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Articles 1 - 11 of 11
Full-Text Articles in Physical Sciences and Mathematics
Supersymmetry And The Tunneling Problem In An Asymmetric Double Well, Asim Gangopadhyaya, Prasanta Panigrahi, Uday Sukhatne
Supersymmetry And The Tunneling Problem In An Asymmetric Double Well, Asim Gangopadhyaya, Prasanta Panigrahi, Uday Sukhatne
Asim Gangopadhyaya
The techniques of supersymmetric quantum mechanics are applied to the calculation of the energy difference between the ground state and the first excited state of an asymmetric double well. This splitting, originating from the tunneling effect, is computed via a systematic, rapidly converging perturbation expansion. Perturbative calculations to any order can be easily carried out using a logarithmic perturbation theory. Our approach yield substantially better results than alternative widely used semiclassical analyses.
Noncentral Potentials And Spherical Harmonics Using Supersymmetry And Shape Invariance, Ranabir Dutt, Asim Gangopadhyaya, Uday Sukhatne
Noncentral Potentials And Spherical Harmonics Using Supersymmetry And Shape Invariance, Ranabir Dutt, Asim Gangopadhyaya, Uday Sukhatne
Asim Gangopadhyaya
It is shown that the operator methods of supersymmetric quantum mechanics and the concept of shape invariance can profitably be used to derive properties of spherical harmonics in a simple way. The same operator techniques can also be applied to several problems with noncentral vector and scalar potentials. As examples, we analyze the bound state spectra of an electron in a Coulomb plus an Aharonov – Bohm field and/or in the magnetic field of a Dirac monopole.
Supersymmetric Quantum Mechanics And Solvable Models, Asim Gangopadhyaya, Jonathan Bougie, Jeffrey Mallow, C. Rasinariu
Supersymmetric Quantum Mechanics And Solvable Models, Asim Gangopadhyaya, Jonathan Bougie, Jeffrey Mallow, C. Rasinariu
Asim Gangopadhyaya
We review solvable models within the framework of supersymmetric quantum mechanics (SUSYQM). In SUSYQM, the shape invariance condition insures solvability of quantum mechanical problems. We review shape invariance and its connection to a consequent potential algebra. The additive shape invariance condition is specified by a difference-differential equation; we show that this equation is equivalent to an infinite set of partial differential equations. Solving these equations, we show that the known list of h-independent superpotentials is complete. We then describe how these equations could be extended to include superpotentials that do depend on h.
Semiclassical Approach To Quantum-Mechanical Problems With Broken Supersymmetry, Ranabir Dutt, Asim Gangopadhyaya, Avinash Khare, A. Pagnamenta, Uday Sukhatne
Semiclassical Approach To Quantum-Mechanical Problems With Broken Supersymmetry, Ranabir Dutt, Asim Gangopadhyaya, Avinash Khare, A. Pagnamenta, Uday Sukhatne
Asim Gangopadhyaya
The semiclassical WKB approximation method is reexamined in the context of nonrelativistic quantum-mechanical bound-state problems with broken supersymmetry (SUSY). This gives rise to an alternative quantization condition (denoted by BSWKB) which is different from the standard WKB formula and also different from the previously studied supersymmetric (SWKB) formula for unbroken SUSY. It is shown that to leading order in ħ, the BSWKB condition yields exact energy eigenvalues for shape-invariant potentials with broken SUSY (harmonic oscillator, Pöschl-Teller I and II) which are known to be analytically solvable. Further, we show explicitly that the higher-order corrections to these energy eigenvalues, up to …
Renormalization Group Equations In Broken Supersymmetric Theories Using Superspace Methods, Asim Gangopadhyaya, Darwin Chang
Renormalization Group Equations In Broken Supersymmetric Theories Using Superspace Methods, Asim Gangopadhyaya, Darwin Chang
Asim Gangopadhyaya
We apply the superfield method with the spurion technique to derive the renormalization-group equations in broken supersymmetric theories. We point out some possible ambiguities in this procedure and show that it is in general necessary to express the supersymmetry-breaking terms in explicit D-type form. We also found that it is possible to construct broken supersymmetric theories where some of the symmetry-breaking parameters do not receive any infinite renormalization.
Searches For Supersymmetry Using The M T2 Variable In Hadronic Events Produced In Pp Collisions At 8 Tev, Cms Collaboration, V. Khachatryan, A. M. Sirunyan, Marc M. Baarmand, Marcus Hohlmann, Himali Kalakhety, Francisco X. Yumiceva
Searches For Supersymmetry Using The M T2 Variable In Hadronic Events Produced In Pp Collisions At 8 Tev, Cms Collaboration, V. Khachatryan, A. M. Sirunyan, Marc M. Baarmand, Marcus Hohlmann, Himali Kalakhety, Francisco X. Yumiceva
Aerospace, Physics, and Space Science Faculty Publications
Searches for supersymmetry (SUSY) are performed using a sample of hadronic events produced in 8 TeV pp collisions at the CERN LHC. The searches are based on the M T2 variable, which is a measure of the transverse momentum imbalance in an event. The data were collected with the CMS detector and correspond to an integrated luminosity of 19.5 fb−1. Two related searches are performed. The first is an inclusive search based on signal regions defined by the value of the M T2 variable, the hadronic energy in the event, the jet multiplicity, and the number of jets …
An Extended Detailed Investigation Of First And Second Order Supersymmetries For Off-Shell N=2 And N=4 Supermultiplets, Sylvester James Gates, Jr., James Parker, Vincent G. J. Rodgers, Leo Rodriguez, Kory Stiffler
An Extended Detailed Investigation Of First And Second Order Supersymmetries For Off-Shell N=2 And N=4 Supermultiplets, Sylvester James Gates, Jr., James Parker, Vincent G. J. Rodgers, Leo Rodriguez, Kory Stiffler
Biological and Physical Sciences Department Faculty Works
This paper investigates the d = 4, N = 4 Abelian, global Super-Yang Mills system (SUSY-YM). It is shown how the N = 2 Fayet Hypermultiplet (FH) and N = 2 vector multiplet (VM) are embedded within. The central charges and internal symmetries provide a plethora of information as to further symmetries of the Lagrangian. Several of these symmetries are calculated to second order. It is hoped that investigations such as these may yield avenues to help solve the auxiliary field closure problem for d = 4, N = 4, SUSY-YM and the d = 4, N = 2 Fayet-Hypermultiplet, …
Search For Physics Beyond The Standard Model In Events With Two Leptons, Jets, And Missing Transverse Momentum In Pp Collisions At √S= 8 Tev, Vardan Khachatryan, Marc M. Baarmand, Marcus Hohlmann, Himali Kalakhety, Francisco Yumiceva, The Cms Collaboration
Search For Physics Beyond The Standard Model In Events With Two Leptons, Jets, And Missing Transverse Momentum In Pp Collisions At √S= 8 Tev, Vardan Khachatryan, Marc M. Baarmand, Marcus Hohlmann, Himali Kalakhety, Francisco Yumiceva, The Cms Collaboration
Aerospace, Physics, and Space Science Faculty Publications
A search is presented for physics beyond the standard model in final states with two opposite-sign same-flavor leptons, jets, and missing transverse momentum. The data sample corresponds to an integrated luminosity of 19.4 fb−1 of proton-proton collisions at √S= 8 TeV collected with the CMS detector at the CERN LHC in 2012. The analysis focuses on searches for a kinematic edge in the invariant mass distribution of the oppositesign same-flavor lepton pair and for final states with an on-shell Z boson. The observations are consistent with expectations from standard model processes and are interpreted in terms of upper limits on …
Searches For Third-Generation Squark Production In Fully Hadronic Final States In Proton-Proton Collisions At √S = 8 Tev, Vardan Khachatryan, Vallary Bhopatkar, Marcus Hohlmann, H Kalakhety, D. Mareskas-Palcek, Tuhin S. Roy, Francisco X. Yumiceva, The Cms Collaboration
Searches For Third-Generation Squark Production In Fully Hadronic Final States In Proton-Proton Collisions At √S = 8 Tev, Vardan Khachatryan, Vallary Bhopatkar, Marcus Hohlmann, H Kalakhety, D. Mareskas-Palcek, Tuhin S. Roy, Francisco X. Yumiceva, The Cms Collaboration
Aerospace, Physics, and Space Science Faculty Publications
Searches for third-generation squarks in fully hadronic final states are presented using data samples corresponding to integrated luminosities of 19.4 or 19.7 fb−1, collected at a centre-of-mass energy of 8 TeV with the CMS detector at the LHC. Three mutually exclusive searches are presented, each optimized for a different decay topology. They include a multijet search requiring one fully reconstructed top quark, a dijet search requiring one or two jets originating from b quarks, and a monojet search. No excesses above the standard model expectations are seen, and limits are set on top and bottom squark production in the context …
Search For Disappearing Tracks In Proton-Proton Collisions At S√=8 Tev, The Cms Collaboration, V. Khachatryan, A. M. Sirunyan, Marc M. Baarmand, Marcus Hohlmann, Himali Kalakhety, Francisco Yumiceva
Search For Disappearing Tracks In Proton-Proton Collisions At S√=8 Tev, The Cms Collaboration, V. Khachatryan, A. M. Sirunyan, Marc M. Baarmand, Marcus Hohlmann, Himali Kalakhety, Francisco Yumiceva
Aerospace, Physics, and Space Science Faculty Publications
A search is presented for long-lived charged particles that decay within the CMS detector and produce the signature of a disappearing track. Disappearing tracks are identified as those with little or no associated calorimeter energy deposits and with missing hits in the outer layers of the tracker. The search uses proton-proton collision data recorded at s√=8 TeV that corresponds to an integrated luminosity of 19.5 fb−1. The results of the search are interpreted in the context of the anomaly-mediated supersymmetry breaking (AMSB) model. The number of observed events is in agreement with the background expectation, and limits are set on …
Search For A Light Charged Higgs Boson Decaying To Cs In Pp Collisions At P S = 8 Tev, The Cms Collaboration, V. Khachatryan, A. M. Sirunyan, Marc M. Baarmand, Vallary Bhopatkar, Marcus Hohlmann, Himali Kalakhety, Daniel Noonan, Tuhin Roy, Francisco Yumiceva
Search For A Light Charged Higgs Boson Decaying To Cs In Pp Collisions At P S = 8 Tev, The Cms Collaboration, V. Khachatryan, A. M. Sirunyan, Marc M. Baarmand, Vallary Bhopatkar, Marcus Hohlmann, Himali Kalakhety, Daniel Noonan, Tuhin Roy, Francisco Yumiceva
Aerospace, Physics, and Space Science Faculty Publications
A measurement of the W boson helicity is presented, where the W boson originates from the decay of a top quark produced in pp collisions. The event selection, optimized for reconstructing a single top quark in the final state, requires exactly one isolated lepton (muon or electron) and exactly two jets, one of which is likely to originate from the hadronization of a bottom quark. The analysis is performed using data recorded at a center-of-mass energy of 8 TeV with the CMS detector at the CERN LHC in 2012. The data sample corresponds to an integrated luminosity of 19.7 fb …