Model-independent Veltman condition,naturalness and the little hierarchy problem

We adopt a bottom-up Effective Field Theory(EFT)approach to derive a model-independent Veltman condition to cancel out the quadratic divergences in the Higgs mass.We show using the equivalence theorem that all the deviations in the Higgs couplings to the W and Z from the SM predictions should vanish.We argue based on tree-level unitarity that any new physics that naturally cancels out the quadratic divergences should be ≤19 TeV.We show that the level of fine-tuning required is unless the O(0:1%-1%) UV sector has a symmetry that forces the satisfaction of the model-independent Veltman condition,in which case all fine-tuning is eliminated.We also conjecture that,if no new physics that couples to the Higgs is observed up to~19 TeV,or if the Higgs couplings to the SM particles conform to the SM predictions,then the Higgs either does not couple to any UV sector or is fine-tuned.

Horava–Lifshitz Type Quantum Field Theory and Hierarchy Problem

We study the Lifshitz type extension of the standard model(SM) at the UV, with dynamical critical exponent z = 3. One loop radiative corrections to the Higgs mass in such a model are calculated. Our result shows that,the Hierarchy problem, which has initiated many excellent extension of the minimal SM, may be weakened in the z = 3 Lifshitz type quantum field theory.

A General Relativistic Approach for Non-Perturbative QCD

The formation of mini black holes is now considered to be a well-established and inescapable consequence of TeV scale particle collision scenarios in extra-dimensional/ADD models. Further, such mini black holes have been predicted to be produced at prodigious rates, of several thousand per year. Therefore, the continued null results from detector searches so far, including the most recent LHC runs of √s = 14 TeV, seem to suggest that new ideas may be critical for further advances in high energy physics. In this manuscript, we use a geometrical algorithm, inspired by general relativity, in particular Kerr-Newman de-Sitter black holes, to explore the non-perturbative (infra-red) sector of QCD. This has led us to a novel and more refined search criteria for LHC data compared to previous methods. We also explain why the current search has yielded null results. Our predictions are readily testable at detector sites. More importantly, our approach provides promising solutions to several long-standing problems, such as the hierarchy problem, problems with the continued failed attempts to integrate gravity into the standard model, and finally quark confinement.

Study of Branes with Variable Tension

In this work we study a brane world model with variable tension, which gives rise to four-dimensional cosmologies. The brane worlds obtained correspond to E?tv?s branes whose(internal) geometry can be casted as either a four-dimensional(A)dS_4 or a standard radiation period cosmology. The matter dominated period is discussed as well.

Algebraic Structure of Discrete Zero Curvature Equations and Master Symmetries of Discrete Evolution Equations

In this paper, based on a discrete spectral problem and the corresponding zero curvature representation,the isospectral and nonisospectral lattice hierarchies are proposed. An algebraic structure of discrete zero curvature equations is then established for such integrable systems. the commutation relations of Lax operators corresponding to the isospectral and non-isospectral lattice flows are worked out, the master symmetries of each lattice equation in the isospectral hierarchyand are generated, thus a τ-symmetry algebra for the lattice integrable systems is engendered from this theory.