Wayne W. Repko

The Effective W+-, Z0 Approximation for High-Energy Collisions

Abstract We derive the structure functions for massive transverse and longitudinal gauge bosons. The results are checked against perturbation theory for some simple examples. Using these structure functions, it is simple to calculate cross sections for producing heavy quarks or leptons, Higgs bosons, new gauge bosons, or any particles carrying SU(2) quantum numbers, and to estimate the collider predictions of any new model of WW scattering.

Residual Symmetries for Neutrino Mixing with a Large θ 13 and Nearly Maximal δ D

The residual Z(2)(s)(k) and Z(2)(s)(k) symmetries induce a direct and unique phenomenological relation with θx (≡ θ13) expressed in terms of the other two mixing angles θs(≡ θ12) and θa(≡ θ23) and the Dirac CP phase δD. Z(2)(s)(k) predicts a θx probability distribution centered around 3°-6° with an uncertainty of 2°-4°, while those from Z(2)(s)(k) are approximately a factor of 2 larger. Either result fits the T2K, MINOS, and Double Chooz measurements. Alternately, a prediction for the Dirac CP phase δD results in a peak at ± 74° (± 106°) for Z(2)(s)(k) or ± 123° (± 57°) for Z(2)(s)(k) which is consistent with the latest global fit. We also give a distribution for the leptonic Jarlskog invariant Jν which can provide further tests from measurements at T2K and NOνA.

Z2 symmetry prediction for the leptonic Dirac CP phase

Abstract Model-independent consequences of applying a generalized hidden horizontal Z 2 symmetry to the neutrino mass matrix are explored. The Dirac CP phase δ D can be expressed in terms of the three mixing angles as 4 c a s a c s s s s x cos δ D = ( s s 2 − c s 2 s x 2 ) ( c a 2 − s a 2 ) where the s i , c i are sines and cosines of the atmospheric, solar, and reactor angles. This relation is independent of neutrino masses and whether neutrinos are Dirac- or Majorana-type. Given the present constraints on the angles, δ D is constrained to be almost maximal, a result which can be explored in experiments such as NOνA and T2K. The Majorana CP phases do not receive any constraint and are thus model-dependent. Also a distribution of θ x with a lower limit is obtained without specifying δ D .

Model-Independent Prediction of a Large Reactor Angle theta_13

The residual Z(2)(s)(k) and Z(2)(s)(k) symmetries induce a direct and unique phenomenological relation with θx (≡ θ13) expressed in terms of the other two mixing angles θs(≡ θ12) and θa(≡ θ23) and the Dirac CP phase δD. Z(2)(s)(k) predicts a θx probability distribution centered around 3°-6° with an uncertainty of 2°-4°, while those from Z(2)(s)(k) are approximately a factor of 2 larger. Either result fits the T2K, MINOS, and Double Chooz measurements. Alternately, a prediction for the Dirac CP phase δD results in a peak at ± 74° (± 106°) for Z(2)(s)(k) or ± 123° (± 57°) for Z(2)(s)(k) which is consistent with the latest global fit. We also give a distribution for the leptonic Jarlskog invariant Jν which can provide further tests from measurements at T2K and NOνA.

Potential model calculations and predictions for heavy quarkonium

(Dated: February 2, 2008)We investigate the spectroscopy and decays of the charmonium and upsilon systems in a potentialmodel consisting of a relativistic kinetic energy term, a linear confining term including its scalarand vector relativistic corrections and the complete perturbative one-loop quantum chromodynamicshort distance potential. The masses and wave functions of the various states are obtained usinga variational technique, which allows us to compare the results for both perturbative and nonper-turbative treatments of the potential. As well as comparing the mass spectra, radiative widths andleptonic widths with the available data, we include a discussion of the errors on the parameterscontained in the potential, the effect of mixing on the leptonic widths, the Lorentz nature of theconfining potential and the possible c¯cinterpretation of recently discovered charmonium-like states.1. INTRODUCTION

Collider tests of compact space dimensions using weak gauge bosons

We present collider tests of the recent proposal for weak-scale quantum gravity due to new large compact space dimensions in which only the graviton

Photon-Neutrino Interactions

(G)

Neutrino mixing with broken S3 symmetry

propagates. We show that the existing high precision LEP-I

Relativistic two-photon and two-gluon decay rates of heavy quarkonia

Z

Photon neutrino scattering

-pole data can impose nontrivial constraints on the scale of the new dimensions, via the decay mode