A powerful aspect of effective field theories is connecting scales through renormalisation group (RG) flow. The anomalous dimension matrix the Standard Model Effective Field Theory (SMEFT) encodes clues to where find relics heavy new physics in data, but its unwieldy 2499-by-2499 size (at operator 6) makes it difficult draw general conclusions. In this paper, we study flavour structure SMEFT on...

In this paper a semantic account of belief attributions is defended and formulated that is compatible with the causal/historical theory of reference, without giving rise to the problems this theory is sometimes said to be committed to. The solution I propose makes use of Stalnaker's diagonalisation strategy, and a version of Lewis's counterpart theory. The novelty of this paper lies not in the ...

Cooperation between multicell base stations (BSs) is a promising technique that has the potential to mitigate inter-cell interference (ICI) and increase data rates without sacrificing additional frequency spectrum. Classical beamforming techniques have been used to eliminate the existing ICI and improve the sum rate of downlink cooperative multiple input multiple output transmission systems. Ho...

For parahermitian polynomial matrices, which can be used, for example, to characterise space-time covariance in broadband array processing, the conventional eigenvalue decomposition (EVD) can be generalised to a polynomial matrix EVD (PEVD). In this paper, a new iterative PEVD algorithm based on sequential matrix diagonalisation (SMD) is introduced. At every step the SMD algorithm shifts the do...

A real symmetric matrix is diagonalisable by a suitable orthonormal change of basis. The joint approximate diagonalisation problem is to find an orthonormal change of basis which simultaneously diagonalises, or approximately diagonalises, two or more real symmetric matrices. A number of important signal processing problems require the computation of a joint approximate diagonaliser. However, no...

We propose a unitary diagonalisation of a special class of quaternion matrices, the socalled η-Hermitian matrices A = AηH , η ∈ {ı, ȷ, κ} arising in widely linear modelling. In 1915, Autonne exploited the symmetric structure of a matrix A = AT to propose its corresponding factorisation (also knownas the Takagi factorisation) in the complex domain C. Similarly, we address the factorisation of an...

We analyze the onset of classical behaviour in a scalar field after a continuous phase transition, in which the system-field, the long wavelength order parameter of the model, interacts with an environment of its own shortwavelength modes. We compute the decoherence time for the system-field modes from the master equation and compare it with the other time scales of the model. Within our approx...