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Nelson, C.A.

State Univ. of New York, Binghamton, NY (USA). Dept. of Physics

State Univ. of New York, Binghamton, NY (USA). Dept. of Physics

AbstractAbstract

[en] We have constructed fundamental tests which can be used to probe discrete symmetries, and their possible violations, in the required ''new physics'' beyond the standard model. In a recent paper for applications at an e

^{+}e^{-}collider or a hadron collider, such as the SSC, we have proposed a number of tests using τ lepton and t quark polarimetry. Recently we have found that in measurements of electroweak couplings by e^{-}e^{+}→ τ^{-}τ^{+}at the Z^{o}, the ideal statistical errors can be significantly reduced by usage of spin correlation functions. This new technique appears very promising for high precision electroweak tests. In a separate research program, we are continuing to investigate our proposal that partons be identified with nearly degenerate, coherent quark-gluon ''jet'' statesPrimary Subject

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Feb 1990; 9 p; CONTRACT FG02-86ER40291; NTIS, PC A02/MF A01 as DE90009014; OSTI; INIS; US Govt. Printing Office Dep

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Nelson, C.A.

State Univ. of New York, Binghamton (USA). Dept. of Physics

State Univ. of New York, Binghamton (USA). Dept. of Physics

AbstractAbstract

[en] Powerful results are tabulated which can be used at modern colliders to make fundamental symmetry tests by analysis of sequential decays of X → V

_{1}V_{2}. By generalization of the phi phi parity test which has recently been used to determine the parity of the eta/sub c/, the P ( or CP) quantum number can always be determined for X of any spin J which decays P (or respectively CP) invariantly into VV or V anti V where each vector meson decays into two spin-0 bosons, or is ω. P can also always be determined from a mode like K*^{+}anti K*^{0}. A neutral spin-0 technipion and an elementary Higgs particle, for instance, can be distinguished by such CP invariant decay modes and by phi rho^{0}, phi J, J UPSILON, or if sufficiently massive by phi Z^{0}or JZ^{0}where J/psi and Z^{0}go into a lepton-antilepton pair. Generalization to the gZ^{0}and gg decay channels, g = gluon jet, which would be relevant to new resonance physics, for example, at the CERN collider is discussed. There are also very simple tests for possible violations of P, of the combination of C plus isospin, of both P and CP, and of both C and CP. 9 referencesPrimary Subject

Source

Oct 1984; 9 p; 6. international symposium on high energy spin physics; Marseille (France); 12-19 Sep 1984; CONF-8409162--2; Available from NTIS, PC A 02/MF A01 as DE85000017

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Nelson, C.A.

State Univ. of New York, Binghamton (USA). Dept. of Physics

State Univ. of New York, Binghamton (USA). Dept. of Physics

AbstractAbstract

[en] We have constructed fundamental tests which can be used to probe discrete symmetries, and their possible violations, in the required ''new physics'' beyond the standard model. For spin 0 decay into tau

^{+}tau^{-}yielding an observable lepton pair l_{2}l_{2}we have obtained analytically the full sequential decay correlation function I(E_{1}, E_{2}, cos psi_{12}) = S + γ/sub CP/D in the Higgstechnipion rest frame. For fixed psi_{12}, contour plots of this E_{1}energy-E_{2}energy correlation function have been made for M/sub H/ = 9 GeV and 70 GeV to show the difference between γ/sub CP/ = +-. We are continuing to investigate our proposal that partons be identified with nearly degenerate, coherent quark-gluon ''jet'' states in order to settle whether the associated ''jet based factorization'' is a natural property of QCD and whether it maintains the universality of mass singularities and the factorization of QCD processes into short-distance and long-distance parts. 4 figsPrimary Subject

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Mar 1988; 10 p; Available from NTIS, PC A02/MF A01; 1 as DE88007141; Portions of this document are illegible in microfiche products.

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Nelson, C.A.

State Univ. of New York, Binghamton, NY (United States). Dept. of Physics. Funding organisation: USDOE, Washington, DC (United States)

State Univ. of New York, Binghamton, NY (United States). Dept. of Physics. Funding organisation: USDOE, Washington, DC (United States)

AbstractAbstract

[en] A number of fundamental tests were constructed which can be used to probe discrete symmetries, and their possible violations, in the required ''new physics'' beyond the standard model. On-going experiments with unpolarized e

^{-}e^{+}, collisions contain many events for the production-decay sequence e^{-}e^{+}→ Z degree, γ* → τ^{-}τ^{+}→ (A^{-}X)(B^{+}X). By inclusion of ρ polarimetry observable such experiments enable two distinct tests for leptonic CP violation in τ → ρν decay by generalization of the energy correlation function for Z degrees, or γ* → τ^{-}τ^{+}→ (ρ^{-}ν) (ρ^{+}bar ν). Other research programs are (i) continuing to investigate the proposal that partons be identified with nearly degenerate, coherent quark-gluon ''jet'' states, and are (ii) investigating the novel consequences of q-analogue quantization of quantum fields, and of a completeness relation for the q-analogue coherent statesPrimary Subject

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Dec 1992; 7 p; CONTRACT FG02-86ER40291; OSTI as DE93005921; NTIS; INIS; US Govt. Printing Office Dep

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State Univ. of New York, Binghamton, NY (United States). Dept. of Physics. Funding organisation: USDOE, Washington, DC (United States)

AbstractAbstract

[en] The q-analogue coherent states |z >

_{q}are used to identify physical signatures for the presence of a q-analogue quantized radiation field in the | >_{q}classical limit where |z| is large. In this quantum-optics-like limit, the fractional uncertainties of most physical quantities (momentum, position, amplitude, phase) which characterize the quantum field are O(1). They only vanish as O(1/|z|) when q = 1. However, for the number operator, N, and the N-Hamiltonian for a free q-boson gas, H_{N}= ℎω(N + 1/2), the fractional uncertainties do still approach zero. A signature for q-boson counting statistics is that (ΔN)^{2}/< N> → 0 as |z| → ∞. Except for its O(1) fractional uncertainty, the q-generalization of the Hermitian phase operator of Pegg and Barnett, φ_{q}, still exhibits normal classical behavior. The standard number-phase uncertainty-relation, ΔN Δφ_{q}= 1/2, and the approximate commutation relation, [N,φ_{q}] = i, still hold for the single-mode q-analogue quantized field. So, N and φ_{q}are almost canonically conjugate operators in the |z >_{q}classical limit. The |z >_{q}CS's minimize this uncertainty relation for moderate |z|^{2}Primary Subject

Secondary Subject

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1994; 7 p; Workshop on harmonic oscillators; Cocoyoc (Mexico); 23-25 Mar 1994; CONF-9403139--2; CONTRACT FG02-86ER40291; Also available from OSTI as DE95005925; NTIS; US Govt. Printing Office Dep

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Nelson, C.A.

Louisiana State Univ., Baton Rouge (USA). Dept. of Physics and Astronomy; Texas Univ., Austin (USA). Center for Particle Theory

Louisiana State Univ., Baton Rouge (USA). Dept. of Physics and Astronomy; Texas Univ., Austin (USA). Center for Particle Theory

AbstractAbstract

No abstract available

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Source

Aug 1972; 51 p; CPT--160

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Nelson, C.A.

State Univ. of New York, Binghamton (USA). Dept. of Physics

State Univ. of New York, Binghamton (USA). Dept. of Physics

AbstractAbstract

[en] Unlike for only soft initial degenerate states, the KLN theorem suggests that there will at least be a singular, if not a finite, contribution to the non-singlet structure function arising from initial collinear and soft degenerate states. We have extended the notion of double cut diagrams so as to evaluate the contribution from these states to the operator matrix elements and thereby are able to use the renormalization group equation in extracting the non-singlet coefficient function. This provides an alternative approach to the factorization of mass singularities and introduces in a practical context a degenerate state concept for the basic partons. In two preprints, the theta theta parity test is generalized to any specific X → V

_{1}V_{2}decay mode where the vector mesons V_{1}and V_{2}each decays into two spin zero bosons. From a strong V_{1}V_{2}mode with a V_{1}in equilibrium V_{2}exchange property, the parity eta of X can always be determined. For weak VV or V anti V channels, the CP eigenvalue of the decaying X can be determined which means that a Higgs boson can be simply distinguished from a technipion. A sin2 phi or sin phi term in the azimuthal angular distribution would imply that CP is violatedPrimary Subject

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Mar 1984; 6 p; Available from NTIS, PC A02/MF A01; 1 as DE84010422

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BOSONS, COMPOSITE MODELS, DECAY, ELEMENTARY PARTICLES, FIELD THEORIES, FUNCTIONS, HADRONS, INTERACTIONS, INTERMEDIATE BOSONS, INVARIANCE PRINCIPLES, MATHEMATICAL MODELS, MESON RESONANCES, MESONS, PARTICLE INTERACTIONS, PARTICLE MODELS, PARTICLE PROPERTIES, POSTULATED PARTICLES, QUANTUM FIELD THEORY, RESONANCE PARTICLES

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Nelson, C.A.

State Univ. of New York, Binghamton (USA). Dept. of Physics

State Univ. of New York, Binghamton (USA). Dept. of Physics

AbstractAbstract

[en] We have constructed symmetry tests from spin correlations functions in the sequential decay of a spin-0, or spin-1, boson into a fermion-antifermion pair such as /tau/

^{+}/tau//sup /minus//. A technipion and a Higgs boson can be distinguished by a 10--20% accuracy measurement of the observed leptons' energy-energy correlation function I(E_{1}, E_{2}, cos /psi/_{12}) = S + γ/sub CP/ D for the /bar /tau///tau/ decay mode with /tau//sup +-/ → /ell//sup +-/ν/bar /nu//. A much stronger signature occurs for H → t/bar t/ with t → bμ^{+}ν, t → /bar b/μ/sup /minus//ν, because if the b jet's momenta are also measured, the necessary t and /bar t/ rest frame variables can be determined. The harder lepton's energy spectrum for the decay sequence Z/sup o/ → /tau/^{+}/tau//sup /minus// → μ^{+}e/sup /minus// X is sensitive to the tau coupling parameters ξ and α/sub H/ where ξ is the Michel polarization parameter for /tau//sup /minus// → γ/sup /minus//νν/sup /minus//, and α/sub H/ ≅ 2a/sub /tau// v/sub /tau///(a/sub /tau//^{2}+ v/sub /tau//^{2}) where a/sub /tau//, v/sub /tau// describe Z/sup o/ → /tau/^{+}/tau//sup /minus// at tree level. The parameters ξ and α/sub H/ are independently determined. Due to a factorization property, radiative correction to such energy-energy correlations are as tractable as for A/sub LR/. By including two body modes, /tau//sup /minus// → A/sup /minus//ν for A = π, K, /rho/, K*, a_{1}, the ideal statistical error for α/sub H/ is reduced to σ(α/sub H/) = 0.005, or a 0.3% error on sin^{2}θ/sub w/. The chiral polarization parameters, ξ/sub A/, can also, be independently determined from I(E/sub A/, E/sub B/). 6 refsPrimary Subject

Source

Feb 1989; 9 p; Available from NTIS, PC A02/MF A01 - OSTI; 1 as DE89008229; Portions of this document are illegible in microfiche products.

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Nelson, C.A.

State Univ. of New York, Binghamton, NY (USA). Dept. of Physics

State Univ. of New York, Binghamton, NY (USA). Dept. of Physics

AbstractAbstract

[en] We have constructed fundamental test which can be used to probe discrete symmetries, and their possible violations, in the required ''new physics'' beyond the standard model. In a recent paper for applications at an e

^{+}e^{-}collider, we have proposed a simple test for ''maximal P -- maximal C'' violation in the Z degree → τ_{1}^{-}τ_{1}^{+}coupling. For τ minus-plus → π minus-plus ν, for example, this test is based on an azimuthal correlation function I(φ_{e}, φ) where the azimuthal angles are defined relative to the final π_{1}^{-}. For e^{-}e^{+}collisions in the Γ or J/Ψ regions, I(φ_{e}, φ) can be used to test for a complex phase in the γ* → τ^{-}τ^{+}coupling. In other research programs, we are continuing to investigate our proposal that partons be identified with nearly degenerate, coherent quark-gluon ''jet'' states, and have proven a completeness relation for the q-analogue of the unusual coherent statesPrimary Subject

Secondary Subject

Source

Dec 1990; 8 p; CONTRACT FG02-86ER40291; OSTI as DE91006729; NTIS; INIS; US Govt. Printing Office Dep

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ANGULAR MOMENTUM, BOSONS, DECAY, ELEMENTARY PARTICLES, FIELD THEORIES, FUNCTIONS, INTERACTIONS, INTERMEDIATE BOSONS, INTERMEDIATE VECTOR BOSONS, INVARIANCE PRINCIPLES, LEPTON-LEPTON INTERACTIONS, MATHEMATICAL MODELS, PARTICLE DECAY, PARTICLE INTERACTIONS, PARTICLE MODELS, PARTICLE PROPERTIES, POSTULATED PARTICLES, QUANTUM FIELD THEORY, UNIFIED GAUGE MODELS

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Nelson, C.A.

State Univ. of New York, Binghamton (USA). Dept. of Physics

State Univ. of New York, Binghamton (USA). Dept. of Physics

AbstractAbstract

[en] For the Drell-Yan procetaus, we have found a ''jet'' based factorization occurs when initial coherent states are used to avoid the higher twist, two-loop counter-examples to the Bloch-Nordsieck theorem in QCD. We have begun to analyze other examples to see whether this ''jet'' based factorization generalizes. An explicit anti-energy-ordering can be conveniently used to factorize a non-abelian Coulomb interaction operator out of the initial coherent state operator so as to proceed per the Kuhlish-Faddeev approach in QED. Secondly, we are completing analysis of a possible method of CP determination using the spin O decay H → anti f

_{1}f_{2}where anti f_{1}f_{2}are a pair of spin 1/2 fermions. For the tau^{+}tau^{-}mode yielding μ^{+-}e^{-}, we are able to analytically obtain the full distribution I(E/sub μ/, E/sub e/, psi) in the H^{0}rest frame where psi is the angle between the μ^{+}and e^{-}momenta. We are studying the γ/sub CP/ dependence as a function of the H^{0}mass ranges of empirical interestPrimary Subject

Source

Mar 1987; 8 p; Available from NTIS, PC A02/MF A01; 1 as DE87007307; Portions of this document are illegible in microfiche products.

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