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PurposeThis study aims to examine the relationship between electricity consumption per capita (ELEC) and real per capita income (Y), as the direction of causation of this relationship remains controversial in the existing literature. It also seeks to explore the relationship between energy consumption per capita (ENC) and real per capita income, over a 34‐year period (between 1975 and 2009).Design/methodology/approachThe study uses Johansen cointegration technique to determine the short‐ and long‐run relationship between the variables. The authors also utilize Granger causality test to determine the causal relationship between the selected variables.FindingsThe study provides evidence of bi‐directional causality between the electricity consumption per capita and real per capita income on one hand; and energy consumption per capita and real per capita income on the other hand as the direction of causality has significant policy implications.Research limitations/implicationsThis study does not include all dimensions of the energy growth, but is limited to the three variables which the authors consider to be critical to economic development, including energy consumption, electricity consumption and economic growth.Originality/valueThe study uses a sophisticated econometric technique with additional tests of forecasting framework to examine the effect of energy demand on economic growth over a period of the next ten years, i.e. 2010‐2019, in the context of Pakistan. The impulse response describes the reaction of the system as a function of independent variable that parameterizes the dynamic behavior of the system.

We study inflation in a supersymmetric Pati-Salam model driven by a potential generated in the context of no-scale supergravity. The Pati-Salam gauge group SU (4) C × SU (2) L × SU (2) R , is supplemented with a Z 2 symmetry. Spontaneous breaking via the SU (4) adjoint leads to the left-right symmetric group. Then the SU (2) R breaks at an intermediate scale and the inflaton is a combination of the neutral components of the SU (2) R doublets. We discuss various limits of the parameter space and we show that consistent solutions with the cosmological data for the spectral index n s and the tensor-to-scalar ratio r are found for a wide range of the parameter space of the model. Regarding the latter, which is a canonical measure of primordial gravity waves, we find that r ∼ 10 −3 − 10 −2 . An alternative possibility where the adjoint scalar field S has the rôle of the inflaton is also discussed.

We consider a class of SUSY models in which the MSSM gauge group is supplemented with a gauged U(1)B−L symmetry and a global U(1)R symmetry. This extension introduces only electrically neutral states, and the new SUSY partners effectively double the number of states in the neutralino sector that now includes a blino (from B − L) and singlino from a gauge singlet superfield. If the DM density is saturated by a LSP neutralino, the model yields quite a rich phenomenology depending on the DM composition. The LSP relic density constraint provides a lower bound on the stop and gluino masses of about 3 TeV and 4 TeV respectively, which is testable in the near future collider experiments such as HL-LHC. The chargino mass lies between 0.24 TeV and about 2.0 TeV, which can be tested based on the allowed decay channels. We also find $$ {m}_{\tilde{\tau}1}\gtrsim $$ m τ ˜ 1 ≳ 500 GeV, and $$ {m}_{\tilde{e}},{m}_{\tilde{\mu}},{m}_{{\tilde{v}}^{S,P}}\gtrsim $$ m e ˜ , m μ ˜ , m v ˜ S , P ≳ 1 TeV. We identify chargino-neutralino coannihilation processes in the mass region 0.24 TeV $$ \lesssim {m}_{{\tilde{\upchi}}_1^0}\approx {m}_{{\tilde{\upchi}}_1^{\pm }}\lesssim $$ ≲ m χ ˜ 1 0 ≈ m χ ˜ 1 ± ≲ 1.5 TeV, and also coannihilation processes involving stau, selectron, smuon and sneutrinos for masses around 1 TeV. In addition, A2 resonance solutions are found around 1 TeV, and H2 and H3 resonance solutions are also shown around 0.5 TeV and 1 TeV . Some of the A2 resonance solutions with tan β ≳ 20 may be tested by the A/H → τ+τ− LHC searches.. While the relic density constraint excludes the bino-like DM, it is still possible to realize higgsino, singlino and blino-like DM for various mass scales. We show that all these solutions will be tested in future direct detection experiments such as LUX-Zeplin and Xenon-nT.

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