arXiv subjects

P. H. Frampton

Publications and source records attributed to P. H. Frampton.

29 records · Page 2Linked to original sources

arXiv1999

Application of Conformal Gauge Theories Derived from Field-String Duality

In this article I first give an abbreviated history of string theory and then describe the recently-conjectured field-string duality. This suggests a class of nonsupersymmetric gauge theories which are conformal (CGT) to leading order of 1/N and some of which may be conformal for finite N. These models are very rigid since the gauge group representations of not only the chiral fermions but also the Higgs scalars are prescribed by the construction. If the standard model becomes conformal at TeV scales the GUT hierarchy is nullified, and model-building on this basis is an interesting direction. Some comments are added about the dual relationship to gravity which is absent in the CGT description.

hep-th↗

arXiv1999

Conformal Approach to Particle Phenomenology

We propose the existence of a non-supersymmetric conformal field theory softly broken at the TeV scale as a new mechanism for solving the hierarchy problem. We find the imposition of conformal invariance to be very restrictive with many predictive consequences, including severe restrictions on the field content, the number of families as well as on the structure of inter-family Yukawa couplings. A large class of potentially conformal non-supersymmetric theories are considered and some general predictions are made about the existence of a rich spectrum of color and weak multiplets in the TeV range.

hep-th↗

arXiv1999

Is the Cosmological Constant Non-Zero?

There is a discussion of the temperature anisotropy of the cosmic background radiation and of how the first Doppler peak depends on the different contributions to the vacuum energy density. An analytic calculation agrees well with numerical studies and shows that the l-value of the peak depends almost entirely on the geometry of the geodesics since recombination, and not sensitively on the details of the photon-baryon accoustic waves prior to the last scattering. This, and supernovae observations, suggest the cosmological constant is not zero.

astro-ph↗

arXiv1999

Position of First Doppler Peak

This talk describes an analytic calculation of the position of the first accoustic peak as a function of the matter density and the cosmological constant (work with Y.J. Ng and R. Rohm), agreeing with independent numerical studies. There is also discussion of supernovae observations and how together these approaches combine to suggest non-zero cosmological constant. An alternative to a constant vacuum density - quintessence - is mentioned.

astro-ph↗

arXiv1998

ADS/CFT String Duality and Conformal Gauge Field Theories

Compactification of Type IIB superstring on an $AdS_5 \times S^5/Γ$ background leads to SU(N) gauge field theories with prescribed matter representations. In the 't Hooft limit of large N such theories are conformally finite. For finite N and broken supersymmetry ($\cal N$ = 0) I derive the constraints to be two-loop conformal and examine the consequences for a wide choice of $Γ$ and its embedding $Γ\subset {\cal C}^3 (\supset S^5)$.

hep-th↗

arXiv1998

Neutrino Masses in R Parity Violating Supersymmetry

We discuss a model for neutrino masses and mixings based on R parity violating Yukawa couplings. The model requires no right-handed neutrinos. It accommodates the SuperKamiokande data on atmospheric neutrinos and successfully relates this data to the mass difference for solar neutrinos in the small-angle MSW solution. We obtain an unexpected testable pattern for the three neutrino flavors.

hep-ph↗

arXiv1998

Bileptons from Muon Collider Backward Scattering

There are serious discussions for building a muon collider with $μ^{+}μ^{-}$ collisions at c.o.m. energies up to 4 TeV. We point out that the bileptonic gauge bosons predicted in some extensions of the Standard Model would be readily discernable from the backward scattering cross-section, for bilepton masses up to a substantial fraction of the c.o.m. energy.

hep-ph↗

arXiv1996

Lecture on a Z' Coupled to Beauty and Truth

By extending the standard gauge group to $SU(3)_c \times SU(2)_L \times U(1)_Y \times U(1)_X$ with $X$ charges carried only by the third family we accommodate the LEP measurement of $R_b$ and predict a potentially measurable discrepancy in $A_{FB}^{b}$ in $e^+e^-$ scattering and that $D^0 \bar D^0$ mixing may be near its experimental limit. The uniqueness of our model is that the Z' couplings are generation-dependent and hence explicitly violate the GIM mechanism, but can nevertheless be naturally consistent with FCNC constraints. Direct detection of this Z' is possible but challenging.

hep-ph↗

arXiv1996

Cabibbo Mixing and the Search for CP Violation

We examine certain extensions of the standard model in which $CP$ violation is spontaneous and the strong $CP$ problem is resolved. In these models, the $3 \times 3$ quark mixing matrix is neither real nor unitary. However, to a precision of 0.1%, it is real and orthogonal. There are no readily observable $CP$-violating effects besides those in the neutral kaon system.

hep-ph↗

arXiv1994

Outcome from Spontaneous CP Violation for B Decays

In the aspon model solution of the strong $CP$ problem, there is a gauged $U(1)$ symmetry, spontaneously broken by the same vacuum expectation value which breaks $CP$, whose massive gauge boson provides an additional mechanism of weak $CP$ violation. We calculate the $CP$ asymmetries in $B$ decays for the aspon model and show that they are typically smaller than those predicted from the standard model. A linear relation between the $CP$ asymmetries of different decay processes is obtained.

hep-ph↗

arXiv1992

Search for Dileptons in Z decay

The lepton family number violation $Z$ boson decay, $Z \to e^-e^-μ^+μ^+$ or $e^+e^+μ^-μ^-$, mediated by a dilepton, e.g. from an SU(15) theory, is calculated. The branching ratio of such exotic decay for allowed dilepton masses is found to be smaller than 10$^{-10}$.

hep-ph↗