By solving the Muskhelishvili–Omnès integral equations, the scalar form factors of the semileptonic heavy meson decays \(D\rightarrow \pi \bar{\ell }\nu _\ell \), \(D\rightarrow {\bar{K}} \bar{\ell }\nu _\ell \), \({\bar{B}}\rightarrow \pi \ell \bar{\nu }_\ell \) and \({\bar{B}}_s\rightarrow K \ell \bar{\nu }_\ell \) are simultaneously studied. As input, we employ unitarized...

It is well known that for the pure standard model triplet fermionic WIMP-type dark matter (DM), the relic density is satisfied around 2 TeV. For such a heavy mass particle, the production cross-section at 13 TeV run of LHC will be very small. Extending the model further with a singlet fermion and a triplet scalar, DM relic density can be satisfied for even much lower masses. The...

In this article, we construct the scalar-diquark–scalar-diquark–antiquark type current to study the ground state triply-charmed pentaquark states with the QCD sum rules. We separate the contributions of the negative-parity and positive-parity triply-charmed pentaquark states explicitly, and take the energy scale formula \(\mu =\sqrt{M^2_{P}-(3{\mathbb {M}}_c)^2}\) to determine...

The construction of exact solutions in scalar field inflationary cosmology is of growing interest. In this work, we review the results which have been obtained with the help of one of the most effective methods, viz., the method of generating functions for the construction of exact solutions in scalar field cosmology. We also include in the debate the superpotential method, which...

We study the evolution of a self interacting scalar field in Einstein-Gauss-Bonnet theory in four dimension where the scalar field couples non minimally with the Gauss-Bonnet term. Considering a polynomial coupling of the scalar field with the Gauss-Bonnet term, a self-interaction potential and an additional perfect fluid distribution alongwith the scalar field, we investigate...

In this article, we assign the \(Z_c^\pm (3900)\) to be the diquark-antidiquark type axialvector tetraquark state, study its magnetic moment with the QCD sum rules in the external weak electromagnetic field by carrying out the operator product expansion up to the vacuum condensates of dimension 8. We pay special attention to matching the hadron side with the QCD side of the...

The inflation stage has a behaviour as power law expansion like \(S(\eta )\propto \eta ^{1+\beta }\) where \(\beta \) constrained on the \(1+\beta <0\). If the inflation were preceded by a radiation era, then there would be thermal spectrum of relic gravitational waves at the time of inflation. Based on this idea we find new upper bound on \(\beta \) by comparison the thermal...

We have recently constructed a manifestly local formulation of a nonlocal approach to the cosmological constant problem which can treat with quantum effects from both matter and gravitational fields. In this formulation, it has been explicitly shown that the effective cosmological constant is radiatively stable even in the presence of the gravitational loop effects. Since we are...

A search for heavy resonances decaying into a pair of \(Z\) bosons leading to \(\ell ^+\ell ^-\ell ^+\ell ^-\) and \(\ell ^+\ell ^-\nu \bar{\nu }\) final states, where \(\ell \) stands for either an electron or a muon, is presented. The search uses proton–proton collision data at a centre-of-mass energy of 13 \(\text {TeV}\) corresponding to an integrated luminosity of 36.1...

We construct a higher derivative theory involving an axionic field and the Weyl tensor in four dimensional spacetime. Up to the first order of the coupling parameters, the charged black brane solution with momentum dissipation in a perturbative manner is constructed. Metal–insulator transitions are implemented when varying the system parameters at zero temperature. Also, we study...

A search for new physics in events with a Z boson produced in association with large missing transverse momentum at the LHC is presented. The search is based on the 2016 data sample of proton-proton collisions recorded with the CMS experiment at \(\sqrt{s} = 13\,\text {TeV} \), corresponding to an integrated luminosity of 35.9\(\,\text {fb}^{-1}\). The results of this search are...

In this article, we demonstrate that the inclusion of right-handed neutrino superfields in the Next-to-Minimal Supersymmetric Standard Model (NMSSM) makes it possible to impose universality conditions on the soft supersymmetry-breaking parameters at the Grand Unification scale, alleviating many of the problems of the so-called Constrained NMSSM. We have studied the...

A study of the associated production of a \(\mathrm{Z} \) boson and a charm quark jet (\(\mathrm{Z} + \mathrm{c} \)), and a comparison to production with a \(\mathrm{b} \) quark jet (\(\mathrm{Z} + \mathrm{b} \)), in \(\mathrm {p}\mathrm {p}\) collisions at a centre-of-mass energy of 8\(\,\text {TeV}\) are presented. The analysis uses a data sample corresponding to an integrated...

We embed \(\mu -\tau \) reflection symmetry into the minimal seesaw formalism, where two right-handed neutrinos are added to the Standard Model of particle physics. Assuming that both the left- and right-handed neutrino fields transform under \(\mu -\tau \) reflection symmetry, we obtain the required forms of the neutrino Dirac mass matrix and the Majorana mass matrix for the...

The ALICE data on light flavor hadron production obtained in p–Pb collisions at \(\sqrt{s_{NN}} = 5.02\) TeV are studied in the thermal model using the canonical approach with exact strangeness conservation. The chemical freeze-out temperature is independent of centrality except for the lowest multiplicity bin, with values close to 160 MeV but consistent with those obtained in Pb...

This work presents an algorithm for modeling a static spherically symmetric compact object satisfying the Eiesland condition (Eiesland in Am Math Soc 27:213, 1925), a necessary and sufficient condition that a general centro-symmetric space shall be of the class 1. The model parameters are obtained accordingly by employing the boundary conditions to the interior solutions. The...

We consider schemes of neutrino mixing arising within the discrete symmetry approach to the well-known flavour problem. We concentrate on \(3\nu \) mixing schemes in which the cosine of the Dirac CP violation phase \(\delta _{\mathrm {CP}}\) satisfies a sum rule by which it is expressed in terms of three neutrino mixing angles \(\theta _{12}\), \(\theta _{23}\), and \(\theta _{13...

We connect two important conjectures in the theory of knot polynomials. The first one is the property \(Al_R(q) = Al_{[1]}(q^{|R|})\) for all single hook Young diagrams R, which is known to hold for all knots. The second conjecture claims that all the mixing matrices \(U_{i}\) in the relation \(\mathcal{R}_i = U_i\mathcal{R}_1U_i^{-1}\) between the ith and the first generators...

The quasinormal frequencies of gravitational perturbation around some well-known regular black holes were investigated in this work. We consider complete perturbations of the energy-momentum tensor of electromagnetic part for non-linear electrodynamics and gravitational field. By using the WKB approximation and the asymptotic iteration method, we make a detailed analysis of the...

We perform an updated analysis on the searches for the anomalous FCNC Yukawa interactions between the top quark, the Higgs boson, and either an up or charm quark \({{tqh,\ q=u,\ c}}\)). We probe the observability of the FCNC top–Higgs couplings through the processes \({e^- p\rightarrow \nu _{\mathrm{e}} }\bar{{t}} \rightarrow \nu _{\mathrm{e}} h \bar{{q}}\) signal I) and \(e^- p...

The main purpose of this paper is to discuss structure scalars in the context of \(f(\mathcal {G}, T)\) gravity, where \(\mathcal {G}\) is the Gauss–Bonnet invariant and T is the trace of stress energy tensor. For this aim, we have considered the spherically symmetric spacetime and dissipative anisotropic fluid coupled with radiation and heat ejecting shearing matter...

We extend the entanglement entropy calculation performed in the seminal paper by Srednicki (Phys Rev Lett 71:666, 1993) for free real massive scalar field theories in \(1+1\), \(2+1\) and \(3+1\) dimensions. We show that the inverse of the scalar field mass can be used as an expansion parameter for a perturbative calculation of the entanglement entropy. We perform the calculation...

We study a general class of spinning pulsating strings in \((AdS_5 \times S^5)_{\varkappa }\) background. For these family of solitons, we examine the scaling relation between the energy, spin or angular momentum. We verify that in \(\varkappa \rightarrow 0 \) limit these relations reduce to the undeformed \(AdS_5 \times S^5\) case. We further study an example of a string which...

In this paper we present a stepwise construction of the path integral over relativistic orbits in Euclidean spacetime. It is shown that the apparent problems of this path integral, like the breakdown of the naive Chapman–Kolmogorov relation, can be solved by a careful analysis of the overcounting associated with local and global symmetries. Based on this, the direct calculation...