A. S. Cornell

A New Approach to Black Hole Quasinormal Modes: A Review of the Asymptotic Iteration Method

We discuss how to obtain black hole quasinormal modes (QNMs) using the asymptotic iteration method (AIM), initially developed to solve second-order ordinary differential equations. We introduce the standard version of this method and present an improvement more suitable for numerical implementation. We demonstrate that the AIM can be used to find radial QNMs for Schwarzschild, Reissner-Nordstrom (RN), and Kerr black holes in a unified way. We discuss some advantages of the AIM over the continued fractions method (CFM). This paper presents for the first time the spin 0, 1/2 and 2 QNMs of a Kerr black hole and the gravitational and electromagnetic QNMs of the RN black hole calculated via the AIM and confirms results previously obtained using the CFM. We also present some new results comparing the AIM to the WKB method. Finally we emphasize that the AIM is well suited to higher-dimensional generalizations and we give an example of doubly rotating black holes.

Black hole quasinormal modes using the asymptotic iteration method

In this paper we show that the asymptotic iteration method (AIM) allows one to numerically find the quasinormal modes of Schwarzschild and Schwarzschild de Sitter black holes. An added benefit of the method is that it can also be used to calculate the Schwarzschild anti-de Sitter quasinormal modes for the case of spin-zero perturbations. We also discuss an improved version of the AIM, more suitable for numerical implementation.

Exploration of the tensor structure of the Higgs boson coupling to weak bosons in e+e− collisions

A bstractProbing signatures of anomalous interactions of the Higgs boson with pairs of weak vector bosons is an important goal of an e+e− collider commissioned as a Higgs factory. We perform a detailed analysis of such potential of a collider operating at 250 − 300 GeV. Mostly using higher dimensional operators in a gauge-invariant framework, we show that substantial information on anomalous couplings can be extracted from the total rates of s-and t-channel Higgs production. The most obvious kinematic distributions, based on angular dependence of matrix elements, are relatively less sensitive with moderate coefficients of anomalous couplings, unless one goes to higher centre-of-mass energies. Some important quantities to use here, apart from the total event rates, are the ratios of event rates at different energies, ratios of s-and t-channel rates at fixed energies, and under some fortunate circumstances, the correlated changes in the rates for W-boson pair-production. A general scheme of calculating rates with as many as four gauge-invariant operators is also outlined. At the end, we perform a likelihood analysis using phenomenological parametrization of anomalous HWW interaction, and indicate their distinguishability for illustrative values of the strength of such interactions.

Graviton emission from simply rotating Kerr―de Sitter black holes: Transverse traceless tensor graviton modes

In this article we present results for tensor graviton modes (in seven dimensions and greater,

Evolution of the CKM matrix in the universal extra dimension model

n\ensuremath{\ge}3

Probing anomalous couplings using di-Higgs production in electron–proton collisions

) for gray-body factors of Kerr\char21{}de Sitter black holes and for Hawking radiation from simply rotating (

Renormalisation running of masses and mixings in UED models

n+4

Scaling of the CKM Matrix in the 5D MSSM

)-dimensional Kerr black holes. Although there is some subtlety with defining the Hawking temperature of a Kerr\char21{}de Sitter black hole, we present some preliminary results for emissions assuming the standard Hawking normalization and a Bousso-Hawking-like normalization.

Asymptotic iteration method for spheroidal harmonics of higher-dimensional Kerr-(A)dS black holes

The evolution of the Cabibbo-Kobayashi-Maskawa matrix and the quark Yukawa couplings is performed for the one-loop renormalization group equations in the universal extra dimension model. It is found that the evolution of mixing angles and the CP violation measure J may rapidly vary in the presence of the Kaluza-Klein modes, and this variation becomes dramatic as the energy approaches the unification scale.

Large At without the desert

Abstract A proposed high energy Future Circular Hadron-Electron Collider would provide sufficient energy in a clean environment to probe di-Higgs production. Using this channel we show that the azimuthal angle correlation between the missing transverse energy and the forward jet is a very good probe for the non-standard hhh and h h W W couplings. We give the exclusion limits on these couplings as a function of integrated luminosity at a 95% C.L. using the fiducial cross sections. With appropriate error fitting methodology we find that the Higgs boson self coupling could be measured to be g h h h ( 1 ) = 1.00 − 0.17 ( 0.12 ) + 0.24 ( 0.14 ) of its expected Standard Model value at s = 3.5 ( 5.0 ) TeV for an ultimate 10 ab − 1 of integrated luminosity.