Nilendra Deshpande - Academia.edu (original) (raw)
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Papers by Nilendra Deshpande
![Research paper thumbnail of Task A: Theory of elementary particles. [Inst. of Theoretical Science, Univ. of Oregon, Eugene, Oregon]](https://attachments.academia-assets.com/73073700/thumbnails/1.jpg)
](This report was prepared as an account of work sponsored by an agency of the United States ¢ Gove... more This report was prepared as an account of work sponsored by an agency of the United States ¢ Government. Neither the United States Government nor any agency thereof, nor any of their 4 employees, makes any warranty, express or implied, or assumes any legal liability or responsi-DOE/ER/4 0 2 2 4-2 4 3 bility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, DE 9 3 010.5 6 2 manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof.
Physics Letters B
We propose a model that introduces a supersymmetric unparticle operator in the minimal supersymme... more We propose a model that introduces a supersymmetric unparticle operator in the minimal supersymmetric Standard Model. We analyze the lowest dimension operator involving an unparticle. This operator behaves as a Standard Model gauge singlet and it introduces a new parameter into the Higgs potential which can provide an alternative way to relax the upper limit on the lightest Higgs boson mass. This operator also introduces several unparticle interactions which can induce a neutral Higgsino to decay into a spinor unparticle. It also induces violation of scale invariance around the electroweak scale. It is necessary for the scale of this violation to be larger than the lightest supersymmetric particle mass to maintain the latter as the usual weakly interacting massive particle dark matter candidate. An alternative is to have unparticle state as dark matter candidate. We also comment on some collider implications.
We :onstruct ,modcls ba3ed on the gauge group SU(2: X U(l) X U'(l) as ~ ~lternat1vcs to the s~and... more We :onstruct ,modcls ba3ed on the gauge group SU(2: X U(l) X U'(l) as ~ ~lternat1vcs to the s~andarj model. TI•ese lend oatura~ly to effective Lagranf h neutr]. • no-hadron scattering which is identical to the standard ginn or t e model. The electron-q• u 11 rk interactions .can be chosen ~o yield the correct res ult for polarized el ec tron~deuterium asymmetry measJred at SLAC, while permitting a small value fer parity violation in bismuth. Definitive tests for thes e models arc .the y-depcndence of the asymmetry in electron-deuterium ~r.elast<c. scattering, which should be fairly rapid, and ele~tron-proton deep 4 ~ t o a doublet which can be tested on neutrino-electron and the assignment of ~ scat t eriog. Other. tests of the models are also considered. A different version of the model predi:ts all results identical to the standard model 2 z b Models which are not strictly at small q , but allowing ~ lighter •-osonnatural a re also discussed-*Research suppo rted in part by Department of Energy grant EY-76-F-06-2230 .
Physics Letters B
We study the decay of right-handed gauge bosons W' and Z', produced in high-energy pp collisions,... more We study the decay of right-handed gauge bosons W' and Z', produced in high-energy pp collisions, into pairs of ordinary gauge bosons and into a gauge boson and a Higgs scalar. The branching ratios are found to be comparable to those into fermion pairs in the case of the Z'. For the W' they depend on the specific symmetry breaking pattern. We also discuss the background associated to these signals.
Physical Review
The unitarity equations for the Ruijgrok-Van Hove model are set up, and it is shown that the stro... more The unitarity equations for the Ruijgrok-Van Hove model are set up, and it is shown that the strongcoupling solution is identical to the Z=0 solution previously obtained by the author. The relation between the strong-coupling solution and the reciprocal-bootstrap solution, defined in terms of a solution of eigenvalue equation of the crossing matrix, is demonstrated. The solution thus obtained possesses a higher symmetry than is contained in the Hamiltoniana feature of the usual strong-coupling solutionalthough the isobar spectrum is not infinite in this m,odel.
Physical Review
The object of the paper is to show that consideration of noninvariance groups as well as the Cook... more The object of the paper is to show that consideration of noninvariance groups as well as the Cook-Goebel-Sakita strong-coupling solution may be used to derive low-energy sum rules for p-wave meson-baryon scattering. In particular we obtained two sum rules for pion-nucleon scattering which are in fair agreement vnth experiment. These are p" = 4p~3 = 4p'j. The method is generalized to 5V(3) to obtain twelve sum rules for the fourteen p-wave amplitudes. Throughout, a rather simple method of using crossing Inatrices of the groups SU(2)1&SU(2)g and SU(3) &(SV(2)q Is employed, Several new results are obtamed whIch were not obtained in the previous treatments. and derive two sum rules that are fairly well sa,tis6ed by the p-wave scattering lengths. In Sec. III, we consider the group SU(3) XSU(2) q and derive some of the consequences of this group. In Sec. IV, we summarize our conclusions.
Physical Review
We discuss the implications of maintaining Gnite mass renormalization when the wave-function reno... more We discuss the implications of maintaining Gnite mass renormalization when the wave-function renormalization constant Z3 of an elementary particle is set equal to zero, making only the approximations of twoparticle unitarity. We show that this deGnes a Geld-theory bootstrap for the elementary particle wbich is completely equivalent to the usual type of bootstrap based on the ii/D method. As Zs goes to zero the vertex function and inverse propagator develop poles which move to p, ', the elementary-particle mass, in the limit. For nonzero Z3 this pole does not contribute to the scattering amplitude, but at Z3=0 it cancels the elementary-particle pole in the single-particle reducible part, leaving the dynamical pole in the irreducible part. We suggest, further, that in this limit the bootstrapped state is a Regge pole.
Il Nuovo Cimento A
ABSTRACT
AIP Conference Proceedings
ABSTRACT
AIP Conference Proceedings
ABSTRACT
Journal of High Energy Physics
In this article we show that the recently observed enhanced semi-leptonic and leptonic decay rate... more In this article we show that the recently observed enhanced semi-leptonic and leptonic decay rates of the B meson into τ ν modes can be explained within the frame work of R-parity violating (RPV) MSSM. In particular, RPV contributions involving the exchange of right-handed down-type squarks can give a universal contribution to the B + → τ ν, B → Dτ ν and the B → D * τ ν decays in the model we propose. We find that the masses and couplings that explain the enhanced B decay rates are phenomelogically viable and the squarks can possibly be observed at the LHC.
Phys Rev D, 1979
We exploit the higher symmetry inherent in an SU(4) × U(1) gauge theory to construct a spontaneou... more We exploit the higher symmetry inherent in an SU(4) × U(1) gauge theory to construct a spontaneously broken theory of CP nonconservation. Higgs multiplets in the adjoint representation of SU(4) contain both even and odd CP fields; thus, requiring the simultaneous nonvanishing of the vacuum expectation values of these fields leads to CP noninvariance of the vacuum. We find that all the CP-nonconserving effects are mediated in our theory by the superheavy gauge bosons of the broken SU(4) × U(1) symmetry. In fact, the very existence of CP violation sets an upper limit on the masses of these bosons. In our model the dominant CP effect lies in the neutral kaon system and is found to arise through a direct (DeltaS=2) K1-K2 transition. The model has all the features of a superweak theory, with a neutron electric dipole moment substantially smaller than 10-24 e cm.
This report was prepared as an account of work sponsored by an agency of the United States ¢ Gove... more This report was prepared as an account of work sponsored by an agency of the United States ¢ Government. Neither the United States Government nor any agency thereof, nor any of their 4 employees, makes any warranty, express or implied, or assumes any legal liability or responsi-DOE/ER/4 0 2 2 4-2 4 3 bility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, DE 9 3 010.5 6 2 manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof.
Physics Letters B
We propose a model that introduces a supersymmetric unparticle operator in the minimal supersymme... more We propose a model that introduces a supersymmetric unparticle operator in the minimal supersymmetric Standard Model. We analyze the lowest dimension operator involving an unparticle. This operator behaves as a Standard Model gauge singlet and it introduces a new parameter into the Higgs potential which can provide an alternative way to relax the upper limit on the lightest Higgs boson mass. This operator also introduces several unparticle interactions which can induce a neutral Higgsino to decay into a spinor unparticle. It also induces violation of scale invariance around the electroweak scale. It is necessary for the scale of this violation to be larger than the lightest supersymmetric particle mass to maintain the latter as the usual weakly interacting massive particle dark matter candidate. An alternative is to have unparticle state as dark matter candidate. We also comment on some collider implications.
We :onstruct ,modcls ba3ed on the gauge group SU(2: X U(l) X U'(l) as ~ ~lternat1vcs to the s~and... more We :onstruct ,modcls ba3ed on the gauge group SU(2: X U(l) X U'(l) as ~ ~lternat1vcs to the s~andarj model. TI•ese lend oatura~ly to effective Lagranf h neutr]. • no-hadron scattering which is identical to the standard ginn or t e model. The electron-q• u 11 rk interactions .can be chosen ~o yield the correct res ult for polarized el ec tron~deuterium asymmetry measJred at SLAC, while permitting a small value fer parity violation in bismuth. Definitive tests for thes e models arc .the y-depcndence of the asymmetry in electron-deuterium ~r.elast<c. scattering, which should be fairly rapid, and ele~tron-proton deep 4 ~ t o a doublet which can be tested on neutrino-electron and the assignment of ~ scat t eriog. Other. tests of the models are also considered. A different version of the model predi:ts all results identical to the standard model 2 z b Models which are not strictly at small q , but allowing ~ lighter •-osonnatural a re also discussed-*Research suppo rted in part by Department of Energy grant EY-76-F-06-2230 .
Physics Letters B
We study the decay of right-handed gauge bosons W' and Z', produced in high-energy pp collisions,... more We study the decay of right-handed gauge bosons W' and Z', produced in high-energy pp collisions, into pairs of ordinary gauge bosons and into a gauge boson and a Higgs scalar. The branching ratios are found to be comparable to those into fermion pairs in the case of the Z'. For the W' they depend on the specific symmetry breaking pattern. We also discuss the background associated to these signals.
Physical Review
The unitarity equations for the Ruijgrok-Van Hove model are set up, and it is shown that the stro... more The unitarity equations for the Ruijgrok-Van Hove model are set up, and it is shown that the strongcoupling solution is identical to the Z=0 solution previously obtained by the author. The relation between the strong-coupling solution and the reciprocal-bootstrap solution, defined in terms of a solution of eigenvalue equation of the crossing matrix, is demonstrated. The solution thus obtained possesses a higher symmetry than is contained in the Hamiltoniana feature of the usual strong-coupling solutionalthough the isobar spectrum is not infinite in this m,odel.
Physical Review
The object of the paper is to show that consideration of noninvariance groups as well as the Cook... more The object of the paper is to show that consideration of noninvariance groups as well as the Cook-Goebel-Sakita strong-coupling solution may be used to derive low-energy sum rules for p-wave meson-baryon scattering. In particular we obtained two sum rules for pion-nucleon scattering which are in fair agreement vnth experiment. These are p" = 4p~3 = 4p'j. The method is generalized to 5V(3) to obtain twelve sum rules for the fourteen p-wave amplitudes. Throughout, a rather simple method of using crossing Inatrices of the groups SU(2)1&SU(2)g and SU(3) &(SV(2)q Is employed, Several new results are obtamed whIch were not obtained in the previous treatments. and derive two sum rules that are fairly well sa,tis6ed by the p-wave scattering lengths. In Sec. III, we consider the group SU(3) XSU(2) q and derive some of the consequences of this group. In Sec. IV, we summarize our conclusions.
Physical Review
We discuss the implications of maintaining Gnite mass renormalization when the wave-function reno... more We discuss the implications of maintaining Gnite mass renormalization when the wave-function renormalization constant Z3 of an elementary particle is set equal to zero, making only the approximations of twoparticle unitarity. We show that this deGnes a Geld-theory bootstrap for the elementary particle wbich is completely equivalent to the usual type of bootstrap based on the ii/D method. As Zs goes to zero the vertex function and inverse propagator develop poles which move to p, ', the elementary-particle mass, in the limit. For nonzero Z3 this pole does not contribute to the scattering amplitude, but at Z3=0 it cancels the elementary-particle pole in the single-particle reducible part, leaving the dynamical pole in the irreducible part. We suggest, further, that in this limit the bootstrapped state is a Regge pole.
Il Nuovo Cimento A
ABSTRACT
AIP Conference Proceedings
ABSTRACT
AIP Conference Proceedings
ABSTRACT
Journal of High Energy Physics
In this article we show that the recently observed enhanced semi-leptonic and leptonic decay rate... more In this article we show that the recently observed enhanced semi-leptonic and leptonic decay rates of the B meson into τ ν modes can be explained within the frame work of R-parity violating (RPV) MSSM. In particular, RPV contributions involving the exchange of right-handed down-type squarks can give a universal contribution to the B + → τ ν, B → Dτ ν and the B → D * τ ν decays in the model we propose. We find that the masses and couplings that explain the enhanced B decay rates are phenomelogically viable and the squarks can possibly be observed at the LHC.
Phys Rev D, 1979
We exploit the higher symmetry inherent in an SU(4) × U(1) gauge theory to construct a spontaneou... more We exploit the higher symmetry inherent in an SU(4) × U(1) gauge theory to construct a spontaneously broken theory of CP nonconservation. Higgs multiplets in the adjoint representation of SU(4) contain both even and odd CP fields; thus, requiring the simultaneous nonvanishing of the vacuum expectation values of these fields leads to CP noninvariance of the vacuum. We find that all the CP-nonconserving effects are mediated in our theory by the superheavy gauge bosons of the broken SU(4) × U(1) symmetry. In fact, the very existence of CP violation sets an upper limit on the masses of these bosons. In our model the dominant CP effect lies in the neutral kaon system and is found to arise through a direct (DeltaS=2) K1-K2 transition. The model has all the features of a superweak theory, with a neutron electric dipole moment substantially smaller than 10-24 e cm.