We present an overview of the phenomenological implications of the theory of resummed quantum gravity. We discuss its prediction for the cosmological constant in the context of the Planck scale cosmology of Bonanno and Reuter, its relationship to Wei
nbergs asymptotic safety idea, and its relationship to Weinbergs soft graviton resummation theorem. We also discuss constraints and consistency checks of the theory.
We give a status report on the theory of resummed quantum gravity. We recapitulate the use of our resummed quantum gravity approach to Einsteins general theory of relativity to estimate the value of the cosmological constant as $rho_Lambda=(0.0024{ma
thrm{eV}})^4$. The estimate is made in the context of the Planck scale cosmology formulation of Bonanno and Reuter. We discuss the constraints on susy GUT models that follow from the closeness of the estimate to experiment. Various consistency checks on the calculation are addressed and we use the Heisenberg uncertainty principle to remove a large part of the remaining uncertainty in our estimate of $rho_Lambda$.
Working in the context of the Planck scale cosmology formulation of Bonanno and Reuter, we use our resummed quantum gravity approach to Einsteins general theory of relativity to estimate the value of the cosmological constant as $rho_Lambda =(0.0024
eV)^4$. We show that susy GUT models are constrained by the closeness of this estimate to experiment. We also address various consistency checks on the calculation. In particular, we use the Heisenberg uncertainty principle to remove a large part of the remaining uncertainty in our estimate of $rho_Lambda$
We present recent developments in the application of exact amplitude-based resummation methods in the confrontation between precision theory and recent experimental results. As a consequence, we argue that these methods open the way to 1% total theor
etical precision in LHC and FCC physics when realized via MC event generators.
We use the amplitude-based resummation of Feynman`s formulation of Einstein`s theory to arrive at a UV finite approach to quantum gravity. We show that we recover the UV fixed point recently claimed by the exact field-space renormalization group appr
oach. We use our approach in the context of the attendant Planck scale cosmology formulation of Bonanno and Reuter to estimate the value of the cosmological constant as rho_Lambda=(0.0024 eV)^4. We show that the closeness of this estimate to experiment constrains susy GUT models.
We present a formulation of the operator product expansion that is infrared finite to all orders in the attendant massless non-Abelian gauge theory coupling constant, which we will often-times associate with the QCD theory, the theory that we actuall
y have as our primary objective in view of the operation of the LHC at CERN. We make contact in this way with the recently introduced IR-improved DGLAP-CS theory and point-out phenomenological implications accordingly, with an eye toward the precision QCD theory for LHC physics.
We show that the more energetic superluminal neutrinos with quadratically dispersed superluminalities delta=beta^2-1, for beta=v/c where v is the neutrino velocity, also lose significant energy to radiation to the u+e^-+e^+ final state in travelling
from CERN to Gran Sasso as has been shown to occur for those with constant superluminality by Cohen and Glashow if indeed delta simeq 5times 10^{-5}. In addition, we clarify the dependence of such radiative processes on the size of the superluminality.
We present the status and update of a new approach to quantum general relativity as formulated by Feynman from the Einstein-Hilbert action wherein amplitude-based resummation techniques are applied to the theorys loop corrections to yield results (su
perficially) free of ultraviolet(UV) divergences. Recent applications are summarized.
It is shown that amplitude-based, exact resummation tames the un-cancelled IR divergences at O(alpha_s^2) in initial state radiation in QCD with massive quarks. Implications for precision predictions for LHC physics are discussed.
We show that, by using resummation techniques based on the extension of the methods of Yennie, Frautschi and Suura to Feynmans formulation of Einsteins theory, we get quantum field theoretic predictions for the UV fixed-point values of the dimensionl
ess gravitational and cosmological constants. Connections to the phenomenological asymptotic safety analysis of Planck scale cosmology by Bonanno and Reuter are discussed.
