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

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

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

Spontaneous breakdown of charge in the MSSM and in the NMSSM: possibilities and implications

Abstract We study the possibilities and the implications of a spontaneous breakdown of charge in the MSSM and in the Z 3-symmetric NMSSM. The breakdown is triggered by the charged states of the Higgs doublets acquiring vacuum expectation values. In the MSSM, it is known that the presence of a charge conserving minimum for the tree-level Higgs potential precludes a deeper (global) charge-breaking minimum. We find that the inclusion of radiative correction to the potential does not alter the situation while a deeper charge-conserving minimum could arise, albeit with no major practical consequences. In the NMSSM scenario, a charge-breaking global minimum, with or without an accompanying charge-conserving deeper minimum, could appear even with the tree-level Higgs potential thanks to the presence of a charge-neutral scalar state which transforms as a singlet under the Standard Model gauge group. Use of the NMSSM Higgs potential that includes both quantum and thermal corrections and the requirement of a viable (stable or long-lived) vacuum that breaks the electroweak symmetry, along with its compatibility with the latest Higgs data, lead to nontrivial constraints on the NMSSM parameter space