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B. Holdom

Publications and source records attributed to B. Holdom.

At least 55 records · Page 3Linked to original sources

New Axial Interactions at a TeV

We consider a heavy fourth family with masses lying in the symmetry breaking channel of a new strong gauge interaction. This interaction generates a heavy quark axial-type operator, whose effects can be enhanced through multiple insertions. In terms of the strength of this operator we can express new negative contributions to the S and T parameters and the shifts of the Z couplings to the third family. In particular we find that the new contribution to T is strongly constrained by the experimental constraints on the Z coupling to the tau.

hep-ph↗

Mass and flavor from strong interactions

We provide an economical description of mass and flavor based on strong interactions and some dynamical assumptions. We include a discussion of CP violation in the quark sector and its relation to neutrino masses.

hep-ph↗

Trouble for MAC

We show that the next-to-leading corrections to the kernel of the gap equation can be large and of opposite sign to the lowest order kernel, in the presence of a gauge boson mass. This calls into question the reliability of the Most Attractive Channel hypothesis.

hep-ph↗

From turbulence to financial time series

We develop a framework especially suited to the autocorrelation properties observed in financial times series, by borrowing from the physical picture of turbulence. The success of our approach as applied to high frequency foreign exchange data is demonstrated by the overlap of the curves in Figure (1), since we are able to provide an analytical derivation of the relative sizes of the quantities depicted. These quantities include departures from Gaussian probability density functions and various two and three-point autocorrelation functions.

cond-mat.stat-mech↗

CP Violation from the Neutrino Sector: A Case for the Superweak Model

We discuss how CP violation originating in the right-handed neutrino sector can feed into the quark sector, in an otherwise CP invariant theory. The dominant effects are superweak, and we suggest that this may yield a natural resolution of the strong CP problem. This work builds on and extends a previously proposed model of quark and lepton masses, based on a new strong flavor interaction above the weak scale.

hep-ph↗

Naive dimensional analysis and truly strong interactions

We question whether the canonical estimate of a strong coupling, α\approx 4π, is always appropriate for dynamical symmetry breaking. Our discussion is motivated by the success of naive quark models in describing low energy QCD.

hep-ph↗

The size of flavor changing effects induced by the symmetry breaking sector

It has recently been shown that strong interactions underlying electroweak symmetry breaking will induce four-fermion amplitudes proportional to m_t^2, which in turn will influence a variety of flavor changing processes. We argue that the size of these effects are likely to be far below the current experimental bounds.

hep-ph↗

Intermittency and the Slow Approach to Kolmogorov Scaling

From a simple path integral involving a variable volatility in the velocity differences, we obtain velocity probability density functions with exponential tails, resembling those observed in fully developed turbulence. The model yields realistic scaling exponents and structure functions satisfying extended self-similarity. But there is an additional small scale dependence for quantities in the inertial range, which is linked to a slow approach to Kolmogorov (1941) scaling occurring in the large distance limit.

chao-dyn↗

Dynamical Nonsupersymmetry Breaking

We emphasize the role that anomalous power-law scaling of 4-fermion operators, occurring in the presence of new strong interactions, could have in the generation of quark and lepton masses.

hep-ph↗

Dynamical Perturbation Theory and the Auxiliary Field Method

By introducing auxiliary fields, which by their quantum numbers vanish in perturbation theory, we relate the dynamical perturbation theory of Pagels and Stokar and a successful gauged nonlocal constituent quark model to $U(N)$ gauge theory and to QCD. This sheds light on the duality between quark models and resonance models. We then derive the effective action in the loop expansion without dropping cubic and quartic gluon couplings.

hep-ph↗

Hints of Dynamical Symmetry Breaking?

There is current interest in a possible new massive gauge boson $X$ which mixes slightly with the $Z$ boson and accounts for certain anomalies in the LEP data. We show why constraints on models in which the $X$ boson does not couple to the first two families suggest dynamical electroweak symmetry breaking. The associated TeV mass fermions make up a fourth family. Constraints on the effects of the fourth left-handed neutrino also suggest a dynamical origin for its Majorana mass. We finally comment on related implications for the origin of quark masses.

hep-ph↗

Are Four-Fermion Operators Relevant for the Fermion Mass Problem?

Four-fermion operators may have large anomalous scaling and become relevant operators in some strongly interacting gauge theories. We present a detailed model which illustrates some of the implications of such operators for the generation of quark and lepton masses. Such operators would originate at high scales where quarks and leptons experience a new strong interaction, but no unbroken technicolor interaction is required. The breakdown of both the new gauge symmetry and electroweak gauge symmetry is associated with a dynamical TeV mass for fourth family quarks. Among the new physics signatures are anomalous (chromo)magnetic moments and their flavor-changing counterparts.

hep-ph↗

Negative T from a dynamical left-handed neutrino mass

We show how a dynamical Majorana mass for a fourth family left-handed neutrino can make a significant negative contribution to the electroweak correction parameter T without making a large contribution to S or U. We also comment on other possible contributions to T in the context of dynamical symmetry breaking.

hep-ph↗

Chiral Symmetry Breaking via Multi-fermion Green Functions

Previous results on fermion chirality-flipping four-point functions are extended to $SU(N)$ gauge theories. The problem is purely non-perturbative, and it is approached by truncating the Schwinger-Dyson hierarchy. The large-$N$ limit also simplifies the problem substantially. The resulting equation is solved numerically by relaxation techniques and an estimate of the critical coupling and momentum behavior is obtained. We also comment on the behavior of chirality-flipping $2n$-point functions for general $n$.

hep-ph↗

Four-Fermion Dynamics and Fermion Masses

Four-fermion operators with large anomalous dimension may feed down mass to quarks and leptons from a heavy fourth family. No technicolor sector is required. A model illustrates the origin of the large top mass along with quark mass hierarchies and mass mixings.

hep-ph↗

New flavor physics in $b$ decays

A new $U(1)$ gauge boson coupling predominantly to the third family has been considered in connection with recent LEP data. We consider another likely consequence of such a gauge boson, a greatly enhanced $b$ quark decay mode, $b \to s \nnbar$.

hep-ph↗

New third-family flavor physics and the top mass

A new massive gauge boson (X) coupling to the third family produces a tantalizing pattern of deviations away from the standard model. These include increasing Gamma_b/Gamma_h and decreasing the alpha_s(M_Z) extracted from Gamma_h/Gamma_ell. We indicate how the X boson may be related to a dynamical origin of the top mass.

hep-ph↗

Critical Behavior of a Four-Fermion Schwinger-Dyson Equation

We study the Schwinger-Dyson equation associated with a chirality- changing fermion 4-point function in a strongly-coupled $U(1)$ gauge theory. After making appropriate simplifications, we solve the equation numerically via a relaxation method. Our analysis provides an estimate of the critical coupling and it gives some indication as to the general momentum dependence of the 4-point function.

hep-ph↗