Exploring Charge and Color Breaking vacuum in Non-Holomorphic MSSM

Non-Holomorphic MSSM (NHSSM) shows various promising features that are not easily obtained in MSSM. However, the additional Non-Holomorphic (NH) trilinear interactions that attribute to the interesting phenomenological features, also modify the effective scalar potential of the model significantly. We derive analytic constraints involving trilinear parameters $A_t'$ and $A_b'$ that exclude global charge and color breaking minima (CCB). Since the analytic constraints are obtained considering specific directions in the multi-dimensional field space, we further probe the applicability of these constraints by exhaustive scan over NH parameter space with two different regimes of $\tan\beta$ and delineate the nature of metastability by considering vacuum expectation values for third generation squarks. We adhere to a natural scenario by fixing Higgsino mass parameter ($\mu$) to a low value and estimate the allowed ranges of NH trilinear parameters by considering vacuum stability and observed properties of Higgs as the determining criteria.Comment: 29 pages, 10 figures, Results section elaborated, conclusion unchanged, published in JHE

Exploring viable vacua of the Z3Z_3-symmetric NMSSM

We explore the vacua of the $Z_3$-symmetric Next-to-Minimal Supersymmetric Standard Model (NMSSM) and their stability by going beyond the simplistic paradigm that works with a tree-level neutral scalar potential and adheres to some specific flat directions in the field space. Key effects are demonstrated by first studying the profiles of this potential under various circumstances of physical interest via a semi-analytical approach. The results thereof are compared to the ones obtained from a dedicated package like \veva ~which further incorporates the thermal effects to the potential. Regions of the phenomenological NMSSM (pNMSSM) parameter space that render the desired symmetry breaking (DSB) vacuum absolutely stable, long- or short-lived (in relation to the age of the Universe) under quantum/thermal tunneling are delineated. Regions that result in color and charge breaking (CCB) minima are also presented. It is demonstrated that light singlet scalars along with a light LSP (lightest supersymmetric particle) having an appreciable singlino admixture are compatible with a viable DSB vacuum and are much relevant for the collider experiments.Comment: 52 pages, 19 figures, 4 tables; matches with published versio

Persistent homology of collider observations: when (w)hole matters

Topological invariants have played a fundamental role in the advancement of theoretical high energy physics. Physicists have used several kinematic techniques to distinguish new physics predictions from the Standard Model (SM) of particle physics at Large Hadron Collider (LHC). However, the study of global topological invariants of the collider signals has not yet attracted much attention. In this article, we present, a novel approach to study collider signals using persistent homology. The global topological properties of the ensemble of events as expressed by measures like persistent entropy, Betti area, etc. are worth considering in addition to the traditional approach of using kinematic variables event by event. In this exploratory study, we first explore the characteristic topological signature of a few SM electroweak resonant productions. Next, we use the framework to distinguish global properties of the invisible Higgs decay processes in the SM and a real singlet extension of the SM featuring stable singlet scalar dark matter.Comment: 7 figures, 5 tables, submitted to PL

Intrinsic geometry of collider events and nearest neighbour based weighted filtration

Collider observations have mainly been studied on an event-by-event basis, leveraging several kinematic techniques. However, the intrinsic topological imprints of the ensemble of new physics events can be strikingly different from the SM background ensemble. Traditional topological data analysis (TDA) is known for its stability against small perturbations. However, a plethora of rich information encoded in the clustering of ensembles is often lost due to the unweighted filtration of simplicial complexes. Taking a singlet extended model as an example, this work illustrates the rich global properties associated with the so-called distance-to-measure (DTM) filtration on Alpha complexes using weights determined from k-nearest neighbours.Comment: 1 table, 7 figure

Numerical Approximation of Nonlinear Stochastic Volterra Integral Equation using Walsh Function

This article proposes an efficient numerical method for solving nonlinear stochastic Volterra integral equations using the operational matrices of the Walsh function and the collocation method. In this method, a nonlinear stochastic Volterra integral equation is reduced to a system of algebraic equations, which are then solved to obtain an approximation of the solution. Error analysis has been performed, confirming the effectiveness of the methodology, which results in a linear order of convergence. Examples were computed to demonstrate the efficacy and precision of the method.Comment: arXiv admin note: substantial text overlap with arXiv:2305.16678, arXiv:2305.0082

A natural osmolyte trimethylamine N-oxide promotes assembly and bundling of the bacterial cell division protein, FtsZ and counteracts the denaturing effects of urea

Assembly of FtsZ was completely inhibited by low concentrations of urea and its unfolding occurred in two steps in the presence of urea, with the formation of an intermediate [Santra MK & Panda D (2003) J Biol Chem278, 21336-21343]. In this study, using the fluorescence of 1-anilininonaphthalene-8-sulfonic acid and far-UV circular dichroism spectroscopy, we found that a natural osmolyte, trimethylamine N-oxide (TMAO), counteracted the denaturing effects of urea and guanidium chloride on FtsZ. TMAO also protected assembly and bundling of FtsZ protofilaments from the denaturing effects of urea and guanidium chloride. Furthermore, the standard free energy changes for unfolding of FtsZ were estimated to be 22.5 and 28.4 kJ·mol-1 in the absence and presence of 0.6 m TMAO, respectively. The data are consistent with the view that osmolytes counteract denaturant-induced unfolding of proteins by destabilizing the unfolded states. Interestingly, TMAO was also found to affect the assembly properties of native FtsZ. TMAO increased the light-scattering signal of the FtsZ assembly, increased sedimentable polymer mass, enhanced bundling of FtsZ protofilaments and reduced the GTPase activity of FtsZ. Similar to TMAO, monosodium glutamate, a physiological osmolyte in bacteria, which induces assembly and bundling of FtsZ filaments in vitro[Beuria TK, Krishnakumar SS, Sahar S, Singh N, Gupta K, Meshram M & Panda D (2003) J Biol Chem278, 3735–3741], was also found to counteract the deleterious effects of urea on FtsZ. The results together suggested that physiological osmolytes may regulate assembly and bundling of FtsZ in bacteria and that they may protect the functionality of FtsZ under environmental stress conditions

Adenine nucleotide-dependent regulation of assembly of bacterial tubulin-like FtsZ by a hypermorph of bacterial actin-like FtsA.

Cytokinesis in bacteria depends upon the contractile Z ring, which is composed of dynamic polymers of the tubulin homolog FtsZ as well as other membrane-associated proteins such as FtsA, a homolog of actin that is required for membrane attachment of the Z ring and its subsequent constriction. Here we show that a previously characterized hypermorphic mutant FtsA (FtsA*) partially disassembled FtsZ polymers in vitro. This effect was strictly dependent on ATP or ADP binding to FtsA* and occurred at substoichiometric levels relative to FtsZ, similar to cellular levels. Nucleotide-bound FtsA* did not affect FtsZ GTPase activity or the critical concentration for FtsZ assembly but was able to disassemble preformed FtsZ polymers, suggesting that FtsA* acts on FtsZ polymers. Microscopic examination of the inhibited FtsZ polymers revealed a transition from long, straight polymers and polymer bundles to mainly short, curved protofilaments. These results indicate that a bacterial actin, when activated by adenine nucleotides, can modify the length distribution of bacterial tubulin polymers, analogous to the effects of actin-depolymerizing factor/cofilin on F-actin

CDMA Technology

This paper gives idea about CDMA Technology and its overloading schemes.With the help of matlab codes we simulated and obtained the plot between BER and SNR and also we have shown the effect of increasing the no. of users on the plot