An Unpublished Late Middle English Poem

Wilson, Edward

doi:10.1093/nq/12-9-327

Cited by 4 publications

(4 citation statements)

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“…In the 1970's, Wilson [1] had discovered that a fine-tuning seemed to be required of any field theory which completed the standard model Higgs sector, unless its new dynamics appeared at the scale of the Higgs mass. Since then, there have essentially been one and a half explanations proposed: dynamics and anthropics.…”

Section: Introductionmentioning

confidence: 99%

Cosmological Relaxation of the Electroweak Scale

2015

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A new class of solutions to the electroweak hierarchy problem is presented that does not require either weak scale dynamics or anthropics. Dynamical evolution during the early universe drives the Higgs mass to a value much smaller than the cutoff. The simplest model has the particle content of the standard model plus a QCD axion and an inflation sector. The highest cutoff achieved in any technically natural model is 10 8 GeV.

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Section: Introductionmentioning

confidence: 99%

Cosmological Relaxation of the Electroweak Scale

2015

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“…The Higgs mass, and with it the weak scale, is therefore expected to be of order the cut-off scale, which is typically identified with the grand unified theory (GUT) or Planck scale. The fact that the weak scale is much smaller than the cut-off scale requires a large fine-tuning and is therefore considered unnatural in the minimal standard model [1].…”

Section: Introductionmentioning

confidence: 99%

“…A third possibility, however, is that the RG trajectories of the Higgs mass parameters may meet at a "focus point" [6,7], where their values are independent of their ultraviolet boundary values. 1 If this focus point is near the weak scale, the Higgs potential at the weak scale may be insensitive to the ultraviolet values of certain supersymmetry breaking parameters, including the scalar masses. In this case, naturalness, while constraining (unphysical) Higgs mass parameters, may lead to very weak upper bounds on the squark, slepton, and heavy Higgs boson masses, and these scalars may all be beyond the reach of near future colliders.…”

Section: Introductionmentioning

confidence: 99%

Focus points and naturalness in supersymmetry

2000

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We analyze focus points in supersymmetric theories, where a parameter's renormalization group trajectories meet for a family of ultraviolet boundary conditions. We show that in a class of models including minimal supergravity, the up-type Higgs mass has a focus point at the weak scale, where its value is highly insensitive to the universal scalar mass. As a result, scalar masses as large as 2 to 3 TeV are consistent with naturalness, and all squarks, sleptons and heavy Higgs scalars may be beyond the discovery reaches of the Large Hadron Collider and proposed linear colliders. Gaugino and Higgsino masses are, however, still constrained to be near the weak scale. The focus point behavior is remarkably robust, holding for both moderate and large tan β, any weak scale gaugino masses and A parameters, variations in the top quark mass within experimental bounds, and for large variations in the boundary condition scale.

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“…A typical consequence of this state of affairs can be recognized in the modern formulation of renormalized perturbation theory in terms of local field equations (Wilson, 1965;Brandt, 1967;Zimmermann, 1967).In the example of quantum electrodynamics, the electromagnetic current is constructed from the basic (ill-defined) Noether current 47"% by adding suitable (infinite) counterterms which make the total expression meaningful. In this construction, the local conservation of the renormalized current is heavily used in order to determine the form of the counterterms.…”

Section: Preliminariesmentioning

confidence: 99%

Charges and Generators of Symmetry Transformations in Quantum Field Theory

Orzalesi

1970

Rev. Mod. Phys.

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Within the Wightman approach to quantum 6eld theory, we review and clarify the properties of formal charges, defined as space integrals for the fourth component of a local current. The conditions for a formal charge to determine an operator (generator) are discussed, in connection with the well-known theorems of Goldstone and of Coleman. The symmetry transformations generated by this operatorgiven its existenceare also studied in some detail. For generators in a scattering theory, we prove their additivity and thus provide a simple way to characterize them from their matrix elements between one-particle states. This characterization allows an immediate construction of the unitary operators implementing the symmetry transformations, and implies that all internal symmetry groups are necessarily compact. We also indicate how to construct interacting fields having definite internal quantum numbers. The present status of the proof of Noethcr s theorem and of its converse is discussed in the light of the rather delicate properties of formal charges.

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An Unpublished Late Middle English Poem

Cited by 4 publications

References 0 publications

Cosmological Relaxation of the Electroweak Scale

Cosmological Relaxation of the Electroweak Scale

Focus points and naturalness in supersymmetry

Charges and Generators of Symmetry Transformations in Quantum Field Theory

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