We extract from data the parameters of the Higgs potential, the top Yukawa coupling and the electroweak gauge couplings with full 2-loop NNLO precision, and we extrapolate the SM parameters up to large energies with full 3-loop NNLO RGE precision. Then we study the phase diagram of the Standard Model in terms of high-energy parameters, finding that the measured Higgs mass roughly corresponds to the minimum values of the Higgs quartic and top Yukawa and the maximum value of the gauge couplings allowed by vacuum metastability. We discuss various theoretical interpretations of the near-criticality of the Higgs mass.

/pdf/investigating-the-near-criticality-of-the-higgs-boson-1jrknkmcv0.pdf

Investigating the near-criticality of the Higgs boson

The theoretical and experimental issues relevant to neutrinoless double beta decay are reviewed. The impact that a direct observation of this exotic process would have on elementary particle physics, nuclear physics, astrophysics, and cosmology is profound. Now that neutrinos are known to have mass and experiments are becoming more sensitive, even the nonobservation of neutrinoless double beta decay will be useful. If the process is actually observed, we will immediately learn much about the neutrino. The status and discovery potential of proposed experiments are reviewed in this context, with significant emphasis on proposals favored by recent panel reviews. The importance of and challenges in the calculation of nuclear matrix elements that govern the decay are considered in detail. The increasing sensitivity of experiments and improvements in nuclear theory make the future exciting for this field at the interface of nuclear and particle physics.

/pdf/double-beta-decay-majorana-neutrinos-and-neutrino-mass-2tfhqvhys8.pdf

Double Beta Decay, Majorana Neutrinos, and Neutrino Mass

/pdf/investigating-the-near-criticality-of-the-higgs-boson-2xbj6f4jaw.pdf

This paper is a review of the present status of neutrino mass physics, which grew out of an APS sponsored study of neutrinos in 2004. After a discussion of the present knowledge of neutrino masses and mixing and some popular ways to probe the new physics implied by recent data, it summarizes what can be learned about neutrino interactions as well as the nature of new physics beyond the Standard Model from the various proposed neutrino experiments. The intriguing possibility that neutrino mass physics may be at the heart of our understanding of a long standing puzzle of cosmology, i.e. the origin of matter?antimatter asymmetry is also discussed.

/pdf/theory-of-neutrinos-a-white-paper-4bwov15tmt.pdf

Theory of neutrinos: a white paper

We review recent progress in the study of the anomalous baryon number non-conservation at high temperatures and in high energy collisions Recent results on high temperature phase transitions are described, and applications to electroweak baryogenesis are considered The current status of the problem of electroweak instanton-like processes at high energies is outlined This paper is written on the occasion of Sakharov’s 75th anniversary and will appear in the memorial volume of Uspekhi (Usp Fiz Nauk, volume 166, No 5, May 1996)

Electroweak baryon number non-conservation in the early universe and in high-energy collisions

A short review of phenomenological description of neutrino oscillations and recent experimental data on neutrino masses and mixings.

The phenomenology of neutrino oscillations

Mass of the photon.

Sum rules are derived for neutrino oscillations. The effects produced by finite neutrino masses are taken into account without assuming that m/sub ..nu../ is a small parameter.

Sum Rules for Neutrino Oscillations

On the properties of amplitudes which do not satisfy conditions of Pomeranchuk theorem

Lev Borisovich Okun' (on his sixtieth birthday)

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