Through the Lens of Complex Systems Theory: Why Regulators Must Understand the Economy and Society as a Complex System

Effective regulation of the collective actions of free individuals requires an understanding of what complex systems are, how they work, how they can be studied, the impact internal and external stimuli have on the system as a whole, and how our regulatory agencies can be better suited to dealing with a complex world. There is a prolific body of legal scholarship discussing the substantive characteristics and purpose of government regulation; that is not the focus of this article. The purpose of this article is to illustrate the value complex systems theory could create if applied to the regulatory decision making process

Comparison of electric dipole moments and the Large Hadron Collider for probing CP violation in triple boson vertices

CP violation from physics beyond the Standard Model may reside in triple boson vertices of the electroweak theory. We review the effective theory description and discuss how CP violating contributions to these vertices might be discerned by electric dipole moments (EDM) or diboson production at the Large Hadron Collider (LHC). Despite triple boson CP violating interactions entering EDMs only at the two-loop level, we find that EDM experiments are generally more powerful than the diboson processes. To give example to these general considerations we perform the comparison between EDMs and collider observables within supersymmetric theories that have heavy sfermions, such that substantive EDMs at the one-loop level are disallowed. EDMs generally remain more powerful probes, and next-generation EDM experiments may surpass even the most optimistic assumptions for LHC sensitivities.Comment: 26 pages, 14 figures, published version with more argument

The Will to Prevail: Inside the Legal Battle to Save Sweet Briar

Despite the school‘s storied past and deep historical roots, on March 3, 2015, the Sweet Briar Board of Directors announced its intention to shut down the college—permanently—the following summer. The Board cited insurmountable financial challenges, including falling enrollment, a lack of unrestricted funds in its endowment, and the century-old school‘s lack of appeal to modern generations of students. The Board claimed the school was no longer financially viable, because though its $84 million endowment was sizeable by most measures, the school needed an endowment three times that size to stay open. Students, faculty, staff, and alumnae were blindsided by the news that their college would abruptly shut its doors. Unanswered questions led to controversy and distrust, and groups of Sweet Briar supporters were galvanized to take action. Immediately following the announcement, a movement to halt the school‘s closure arose and quickly gained momentum, leading to a hotly contested legal battle that went from the circuit court to the Supreme Court of Virginia and back again. Amherst County Attorney, Ellen Bowyer, boldly brought the principal lawsuit in the name of the Commonwealth of Virginia. The lawsuit alleged the College had violated the Virginia Charitable Solicitations Act by using charitable funds, raised to operate the school, for the purpose of closing it instead. The lawsuit also claimed violations of the Virginia Uniform Trust Code. In the end, the supporters of Sweet Briar won. This is their story. Part I provides an in-depth factual overview, beginning with the college‘s founding in the early 1900s. The commentary then turns to the controversial decision to close and discusses the facts and legal theories of the case, the decisions by the circuit court and the Supreme Court of Virginia, and the eventual settlement that kept the school alive. In Part II, the discussion shifts to the landmark nature of this case, not only for Sweet Briar College, but also for other Virginia colleges and non-profits around the country. The essay analyzes the legal questions arising from the case, including whether a Virginia corporation could also be a trustee, and, what were the Board‘s legal obligations in this case

Higgs Boson Exempt No-Scale Supersymmetry and its Collider and Cosmology Implications

One of the most straightforward ways to address the flavor problem of low-energy supersymmetry is to arrange for the scalar soft terms to vanish simultaneously at a scale $M_{c}$ much larger than the electroweak scale. This occurs naturally in a number of scenarios, such as no-scale models, gaugino mediation, and several models with strong conformal dynamics. Unfortunately, the most basic version of this approach that incorporates gaugino mass unification and zero scalar masses at the grand unification scale is not compatible with collider and dark matter constraints. However, experimental constraints can be satisfied if we exempt the Higgs bosons from flowing to zero mass value at the high scale. We survey the theoretical constructions that allow this, and investigate the collider and dark matter consequences. A generic feature is that the sleptons are relatively light. Because of this, these models frequently give a significant contribution to the anomalous magnetic moment of the muon, and neutralino-slepton coannihilation can play an important role in obtaining an acceptable dark matter relic density. Furthermore, the light sleptons give rise to a large multiplicity of lepton events at colliders, including a potentially suggestive clean trilepton signal at the Tevatron, and a substantial four lepton signature at the LHC.Comment: 36 pages, 16 figure

Neutrino-induced lepton flavor violation in gauge-mediated supersymmetry breaking

Gauge-mediated supersymmetry breaking is known to greatly suppress flavor changing neutral current effects. However, we show that gauge mediation in the context of leptogenesis implies potentially large lepton flavor violating signals. If the heavy right-handed neutrinos that participate in leptogenesis are lighter than the messenger scale of gauge mediation, they will induce flavor off-diagonal masses to the sleptons which in turn can induce large effects in mu to e gamma, tau to mu gamma, and mu-e conversion in nuclei. We demonstrate this result and compute numerically the lepton-flavor violating decay and conversion rates in scenarios of direct gauge mediation.Comment: 18 pages, 5 figure

Abelian D-terms and the superpartner spectrum of anomaly-mediated supersymmetry breaking

We address the tachyonic slepton problem of anomaly mediated supersymmetry breaking using abelian D-terms. We demonstrate that the most general extra U(1) symmetry that does not disrupt gauge coupling unification has a large set of possible charges that solves the problem. It is shown that previous studies in this direction that added both an extra hypercharge D-term and another D-term induced by B-L symmetry (or similar) can be mapped into a single D-term of the general ancillary U(1)_a. The U(1)_a formalism enables identifying the sign of squark mass corrections which leads to an upper bound of the entire superpartner spectrum given knowledge of just one superpartner mass.Comment: 10 pages, 2 figures, [v2] reference added, [v3] Eq. (9) corrected, results unaffected, [v4] version to be published in Phys. Rev. D, expanded parameter space for figures to match tex

Supergravity loop contributions to brane world supersymmetry breaking

We compute the supergravity loop contributions to the visible sector scalar masses in the simplest 5D `brane-world' model. Supersymmetry is assumed to be broken away from the visible brane and the contributions are UV finite due to 5D locality. We perform the calculation with N = 1 supergraphs, using a formulation of 5D supergravity in terms of N = 1 superfields. We compute contributions to the 4D effective action that determine the visible scalar masses, and we find that the mass-squared terms are negative.Comment: 12 pages, LaTeX 2

The Will to Prevail: Inside the Legal Battle to Save Sweet Briar

Part I provides an in-depth factual overview, beginning with the Sweet Briar College\u27s founding in the early 1900s. The commentary then turns to the controversial decision to close and discusses the facts and legal theories of the case, the decisions by the circuit court and the Supreme Court of Virginia, and the eventual settlement that kept the school alive. In Part II, the discussion shifts to the landmark nature of this case, not only for Sweet Briar College, but also for other Virginia colleges and non-profits around the country. The essay analyzes the legal questions arising from the case, including whether a Virginia corporation could also be a trustee, and, what were the Board\u27s legal obligations in this case

Vacuum stability and the Cholesky decomposition

We discuss how the Cholesky decomposition may be used to ascertain whether a critical point of the field theory scalar potential provides a stable vacuum configuration. We then use this method to derive the stability conditions in a specific example.Comment: 7 page