arXiv subjects

Alan. R. White

Publications and source records attributed to Alan. R. White.

11 recordsLinked to original sources

arXiv2011

New Physics at the Tevatron and the LHC May Relate to Dark Matter Visible in UHE Cosmic Rays

A two flavor color sextet quark sector added to QCD yields the {\it uniquely} unitary Critical Pomeron at high energy while also producing electroweak symmetry breaking. In this paper it is argued that a number of experimental phenomena in Cosmic Ray and hadron collider physics can be interpreted as evidence for the sextet sector. These phenomena include (1) Top quark production is via the eta_6 sextet quark pseudoscalar resonance - interference with the background will produce an asymmetry. (2) Longitudinal Z pairs, produced as sextet pions, provide a high mass excess cross-section that includes the eta_6 at the t-tbar threshold mass. Combining the sextet sector and the electroweak interaction without short-distance anomalies requires QUD - a unique underlying weak coupling massless SU(5) gauge theory. Remarkably, it appears that the Standard Model might be reproduced (in a radical conceptual change) by the QUD bound-state S-Matrix. Infra-red divergent gauge bosons coupled to massless fermion anomalies produce a "wee parton vacuum" that confines the elementary fermions. All S-Matrix particles have dynamically generated masses, with sextet baryons as the only new particles - beyond the Standard Model. Anomaly color factors produce large sextet amplitudes and there is no Higgs boson.

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arXiv2010

Could a Weak Coupling Massless SU(5) Theory Underly the Standard Model S-Matrix?

The unitary Critical Pomeron connects to a unique massless left-handed SU(5) theory that, remarkably, might provide an unconventional underlying unification for the Standard Model. Multi-regge theory suggests the existence of a {\it bound-state high-energy S-Matrix} that replicates Standard Model states and interactions via massless fermion anomaly dynamics. Configurations of anomalous wee gauge boson reggeons play a vacuum-like role. All particles, including neutrinos, are bound-states with dynamical masses (there is no Higgs field) that are formed (in part) by anomaly poles. The contributing zero-momentum chirality transitions break the SU(5) symmetry to vector SU(3)xU(1) in the S-Matrix. The high-energy interactions are vector reggeon exchanges accompanied by wee boson sums (odd-signature for the strong interaction and even-signature for the electroweak interaction) that strongly enhance couplings. The very small SU(5) coupling, ~ 1/120, should be reflected in small (Majorana) neutrino masses. A color sextet quark sector, still to be discovered, produces both Dark Matter and Electroweak Symmetry Breaking. Anomaly color factors imply this sector could be produced at the LHC with large cross-sections, and would be definitively identified in double pomeron processes.

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arXiv2005

Sextet Quarks and the Pomeron at the LHC

Adding two color sextet quarks to QCD gives many special features. The high-energy S-Matrix, constructed via reggeon diagrams and chiral anomalies, contains the Critical Pomeron and electroweak symmetry breaking is produced, by sextet pions. Cosmic ray phenomena suggest large cross-section effects will be seen at the LHC, in particular, involving the pomeron. The sextet sector embeds, uniquely, in a massless, confining, left-handed SU(5) theory. The anomaly based high-energy S-Matrix could be that of the full Standard Model.

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arXiv2005

High-Energy Unitarity and the Standard Model

High-energy unitarity is argued to select a special version of QCD as the strong interaction. Electroweak symmetry breaking has to be due to a new sextet quark sector - that will produce large cross-section effects at the LHC. The sextet sector embeds, uniquely, in a massless SU(5) theory that potentially generates the states and interactions of the Standard Model within a bound-state S-Matrix. Infra-red chirality transitions of the massless Dirac sea play an essential dynamical role.

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arXiv2005

The Physics of a Sextet Quark Sector

Electroweak symmetry breaking may be a consequence of color sextet quark chiral symmetry breaking. A special solution of QCD is involved, with a high-energy S-Matrix that can be constructed ``semi-perturbatively'' via the chiral anomaly and reggeon diagrams. An infra-red fixed point and color superconductivity are crucial components of the construction. Infinite momentum physical states contain both quarks and a universal ``anomalous wee gluon'' component, and the spectrum is more limited than is required by confinement and chiral symmetry breaking. The pomeron is approximately a regge pole and the Critical Pomeron describes asymptotic cross-sections. The strong coupling of the pomeron to the electroweak sector could produce large $x$ and $Q^2$ events at HERA, and vector boson pairs at Fermilab. Further evidence for the sextet sector at Fermilab would be a large $E_T$ jet excess, due in part to the non-evolution of $α_s$, and other phenomena related to the possibility that top quark production is due to the $η_6$. The sextet proton and neutron are the only new baryonic states. Sextet states dominate high energy hadronic cross-sections and stable sextet neutrons could produce both dark matter and ultra high energy cosmic rays. The cosmic ray spectrum knee suggests the effective sextet threshold is between Fermilab and LHC energies, with large cross-section effects expected at the LHC. Jet and vector boson cross-sections will be very much larger than expected, and sextet baryons should also be produced. Double pomeron produced states could provide definitive evidence for the existence of the sextet sector in the initial low luminosity running.

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arXiv2000

The Past and Future of S-Matrix Theory

Contents: 1. Introduction. 2. The Early Years. 2.1 Living Without Field Theory. 2.2 Initial Postulates. 2.3 Further Postulates. 2.4 QCD and a Final Postulate. 2.5 Analyticity in Field Theory. 3. Axiomatic S-Matrix Theory. 3.1 Unitarity, Bubble Diagrams and Landau Diagrams. 3.2 The Landau Equations and the ``$+~ α$'' Condition. 3.3 Macrocausality and Essential Support. 3.4 The Structure Theorem. 3.5 Local Discontinuity Formulae. 3.6 Good and Bad Functions and the Steinmann Relations. 3.7 Global Discontinuity Formulae. 3.8 CPT, Hermitian Analyticity, etc. 3.9 Holonomy. 4. Asymptotic S-Matrix Theory. 4.1 The Elastic Scattering Asymptotic Dispersion Relation. 4.2 Multiparticle Kinematics and Analyticity Domains. 4.3 Multiparticle Asymptotic Dispersion Relations. 4.4 Classification of Multiple Discontinuities. 5. Multi-Regge Theory. 5.1 Partial-Wave Expansions. 5.2 Froissart-Gribov Continuations. Sommerfeld-Watson Representations. 5.4 Reggeon Unitarity. 6. Reggeon Field Theory. 6.1 Pomeron Phase-Space and the Effective Lagrangian. 6.2 The Critical Pomeron. 6.3 The Super-Critical Pomeron. 7. QCD and the Critical Pomeron. 7.1 Reggeon Diagrams in QCD. 7.2 Color Superconductivity and the Super-Critical Pomeron. 7.3 Quark Saturation and an Infra-Red Fixed Point. 7.4 Uniqueness of the S-Matrix ?

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arXiv1999

The Triangle Anomaly in the Triple-Regge Limit

The U(1) triangle anomaly is present, as an infra-red divergence, in the six-reggeon triple-regge interaction vertex obtained from a maximally non-planar Feynman diagram in the full triple-regge limit of three-to-three quark scattering.

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arXiv1998

Solving QCD Via Multi-Regge Theory

A high-energy, transverse momentum cut-off, solution of QCD is outlined. Regge pole and ``single gluon'' properties of the pomeron are directly related to the confinement and chiral symmetry breaking properties of the hadron spectrum. This solution, which corresponds to a supercritical phase of Reggeon Field Theory, may only be applicable to QCD with a very special quark content.

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arXiv1998

Solving QCD Using Multi-Regge Theory

This talk outlines the derivation of a high-energy, transverse momentum cut-off, solution of QCD in which the Regge pole and ``single gluon'' properties of the pomeron are directly related to the confinement and chiral symmetry breaking properties of the hadron spectrum. In first approximation, the pomeron is a single reggeized gluon plus a ``wee parton'' component that compensates for the color and particle properties of the gluon. This solution corresponds to a supercritical phase of Reggeon Field Theory.

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arXiv1998

The Supercritical Pomeron in QCD

Deep-inelastic diffractive scaling violations have provided fundamental insight into the QCD pomeron, suggesting a single gluon inner structure rather than that of a perturbative two-gluon bound state. This talk outlines a derivation of a high-energy, transverse momentum cut-off, confining solution of QCD. The pomeron, in first approximation, is a single reggeized gluon plus a ``wee parton'' component that compensates for the color and particle properties of the gluon. This solution corresponds to a supercritical phase of Reggeon Field Theory.

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arXiv1995

$t$-Channel Unitarity Construction of Small-x Kernels

We present the BFKL equation as a reggeon Bethe-Salpeter equation and discuss the use of reggeon diagrams to obtain 2-2 and 2-4 reggeon interactions at $O(g^4)$. We then outline the dispersion theory basis of multiparticle $j$-plane analysis and describe how a gauge theory can be studied by combining Ward identity constraints with the group structure of reggeon interactions. The derivation of gluon reggeization, the $O(g^2)$ BFKL kernel, and $O(g^4)$ corrections, is described within this formalism. We give an explicit expression for the $O(g^4)$ forward ``parton'' kernel in terms of logarithms and evaluate the eigenvalues. A separately infra-red finite component with a holomorphically factorizable spectrum is shown to be present and conjectured to be a new leading-order partial-wave amplitude. A comparison is made with Kirschner's discussion of $O(g^4)$ contributions from the multi-Regge effective action.

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