Electroweak precision constraints on the Lee-Wick Standard Model

We perform an analysis of the electroweak precision observables in the Lee-Wick Standard Model. The most stringent restrictions come from the S and T parameters that receive important tree level and one loop contributions. In general the model predicts a large positive S and a negative T. To reproduce the electroweak data, if all the Lee-Wick masses are of the same order, the Lee-Wick scale is of order 5 TeV. We show that it is possible to find some regions in the parameter space with a fermionic state as light as 2.4-3.5 TeV, at the price of rising all the other masses to be larger than 5-8 TeV. To obtain a light Higgs with such heavy resonances a fine-tuning of order a few per cent, at least, is needed. We also propose a simple extension of the model including a fourth generation of Standard Model fermions with their Lee-Wick partners. We show that in this case it is possible to pass the electroweak constraints with Lee-Wick fermionic masses of order 0.4-1.5 TeV and Lee-Wick gauge masses of order 3 TeV.Comment: 24 pages, 7 figure

Rubel's problem on bounded analytic functions

The paper shows that for any $G_\delta$ set $F$ of Lebesgue measure zero on the unit circle $T$ there exists a function $f \in H^{\infty}$ such that the radial limits of $f$ exist at each point of $T$ and vanish precisely on $F$. This solves a problem proposed by Lee Rubel in 1973

Pregnancy is associated with elevation of liver enzymes in HIV-positive women on antiretroviral therapy.

The objective of this study is to assess whether pregnancy is associated with an increased risk of liver enzyme elevation (LEE) and severe LEE in HIV-positive women on antiretroviral therapy (ART)

Universality in ultradilute liquid Bose-Bose mixtures

We have studied dilute Bose-Bose mixtures of atoms with attractive interspecies and repulsive intraspecies interactions using quantum Monte Carlo methods at T=0. Using a number of models for interactions, we determine the range of validity of the universal equation of state of the symmetric liquid mixture as a function of two parameters: the s-wave scattering length and the effective range of the interaction potential. It is shown that the Lee-Huang-Yang correction is sufficient only for extremely dilute liquids with the additional restriction that the range of the potential is small enough. Based on the quantum Monte Carlo equation of state we develop a density functional which goes beyond the Lee-Huang-Yang term and use it together with the local density approximation to determine density profiles of realistic self-bound drops.Postprint (published version

Operation Desert Storm, R. E. Lee or W. T. Sherman?

History has shown that one of the most important elements in a successful combat operation is the quality of the commander. The success of Operation Desert Storm confirmed that American commander, General Norman Schwarzkopf, was no mediocre leader. By extension, the war also paid tribute, albeit a silent one, to a man who is arguably the greatest military leader the United States has ever produced—Robert E. Lee. Not only in the sphere of battlefield tactics, but also in ensuring strict adherence to the laws regulating warfare, Generals Lee and Schwarzkopf had much in common. Unfortunately, however, many are unaware of the phenomenal benefits that our military has drawn from General Lee. When reporters asked General Schwarzkopf which military leaders he most admired, he departed from the opinions of recent prominent American military leaders who typically cited General Lee. Instead, he cited Union leader General William T. Sherman as one of his heroes. In spite of this, and fortunately for the United States, both General Schwarzkopf and the forces under his command emulated the tactics and ethics of General Lee rather than General Sherman. In the context of Operation Desert Storm, General Schwarzkopf took only one quality from Sherman—his reputation for ferocity. In all other respects, whether judged in the light of tactics or of moral conduct, the actions of the American military in the Gulf War reflected the impact of General Lee. For instruction, inspiration, and inculcation, American officers can find no better role model than General Robert E. Lee

Minimal Lee-Wick Extension of the Standard Model

We consider a minimal Lee-Wick (LW) extension to the Standard Model in which the fields providing the most important contributions to the cancellation of quadratic divergences are the lightest. Partners to the SU(2) gauge bosons, Higgs, top quark, and left-handed bottom quark are retained in the low-energy effective theory, which is valid up to approximately 10 TeV; the remaining LW partners appear above this cutoff and complete the theory in the ultraviolet. We determine the constraints on the low-energy spectrum from the electroweak parameters S and T, and find LW states within the kinematic reach of the LHC at the 95% confidence level.Comment: 13 pages, ReVTeX, 3 eps figures (v4: numerical error corrected leading to stronger bounds