
Arbelaez, C., Kolesova, H., & Malinsky, M. (2014). Witten's mechanism in the flipped SU(5) unification. Phys. Rev. D, 89(5), 055003–16pp.
Abstract: We argue that Witten's loop mechanism for the righthanded Majorana neutrino mass generation identified originally in the SO(10) grand unification context can be successfully adopted to the class of the simplest flipped SU(5) models. In such a framework, the main drawback of the SO(10) prototypein particular, the generic tension among the gauge unification constraints and the absolute neutrino mass scaleis alleviated, and a simple yet potentially realistic and testable scenario emerges.



Arbelaez, C., Romao, J. C., Hirsch, M., & Malinsky, M. (2014). LHCscale leftright symmetry and unification. Phys. Rev. D, 89(3), 035002–19pp.
Abstract: We construct a comprehensive list of nonsupersymmetric standard model extensions with a lowscale leftright (LR)symmetric intermediate stage that may be obtained as simple lowenergy effective theories within a class of renormalizable SO(10) grand unified theories. Unlike the traditional “minimal” LR models many of our example settings support a perfect gauge coupling unification even if the LR scale is in the LHC domain at a price of only (a few copies of) one or two types of extra fields pulled down to the TeVscale ballpark. We discuss the main aspects of a potentially realistic model building conforming the basic constraints from the quark and lepton sector flavor structure, proton decay limits, etc. We pay special attention to the theoretical uncertainties related to the limited information about the underlying unified framework in the bottomup approach, in particular, to their role in the possible extraction of the LRbreaking scale. We observe a general tendency for the models without new colored states in the TeV domain to be on the verge of incompatibility with the proton stability constraints.



Bertolini, S., Di Luzio, L., & Malinsky, M. (2012). Seesaw scale in the minimal renormalizable SO(10) grand unification. Phys. Rev. D, 85(9), 095014–22pp.
Abstract: Simple SO(10) Higgs models with the adjoint representation triggering the grand unified symmetry breaking, discarded long ago due to inherent treelevel tachyonic instabilities in the physically interesting scenarios, have been recently brought back to life by quantum effects. In this work we focus on the variant with 45(H) circle plus 126(H) in the Higgs sector and show that there are several regions in the parameter space of this model that can support stable unifying configurations with the B – Lbreaking scale as high as 10(14) GeV, well above the previous generic estimates based on the minimal survival hypothesis. This admits for a renormalizable implementation of the canonical seesaw and makes the simplest potentially realistic scenario of this kind a good candidate for a minimal SO(10) grand unification. Last, but not least, this setting is likely to be extensively testable at future largevolume facilities such as HyperKamiokande.



Bertolini, S., Di Luzio, L., & Malinsky, M. (2011). Minimal flipped SO(10) x U(1) supersymmetric Higgs model. Phys. Rev. D, 83(3), 035002–28pp.
Abstract: We investigate the conditions on the Higgs sector that allow supersymmetric SO(10) grand unified theories to break spontaneously to the standard electroweak model at the renormalizable level. If one considers Higgs representations of dimension up to the adjoint, a supersymmetric standard model vacuum requires, in most cases, the presence of nonrenormalizable operators. The active role of Planckinduced nonrenormalizable operators in the breaking of the gauge symmetry introduces a hierarchy in the mass spectrum at the grand unified theory scale that may be an issue for gauge unification and proton decay. We show that the minimal Higgs scenario that allows for a renormalizable breaking to the standard model is obtained by considering flipped SO(10) circle times U(1) with one adjoint (45(H)) and two pairs of 16(H) circle plus (16) over bar (H) Higgs representations. We consider a nonanomalous matter content and discuss the embedding of the model in an E6 grand unified scenario just above the flipped SO(10) scale.



De Romeri, V., Hirsch, M., & Malinsky, M. (2011). Soft masses in supersymmetric SO(10) GUTs with low intermediate scales. Phys. Rev. D, 84(5), 053012–15pp.
Abstract: The specific shape of the squark, slepton and gaugino mass spectra, if measured with sufficient accuracy, can provide invaluable information not only about the dynamics underpinning their origin at some very high scale such as the unification scale M(G), but also about the intermediate scale physics encountered throughout their renormalization group equations evolution down to the energy scale accessible for the LHC. In this work, we study general features of the TeV scale soft supersymmetry breaking parameters stemming from a generic mSugra configuration within certain classes of supersymmetry SO(10) GUTs with different intermediate symmetries below M(G). We show that particular combinations of soft masses show characteristic deviations from the mSugra limit in different models and thus, potentially, allow to distinguish between these, even if the new intermediate scales are outside the energy range probed at accelerators. We also compare our results to those obtained for the three minimal seesaw models with mSugra boundary conditions and discuss the main differences between those and our SO(10) based models.



Fonseca, R. M., Malinsky, M., Porod, W., & Staub, F. (2012). Running soft parameters in SUSY models with multiple U(1) gauge factors. Nucl. Phys. B, 854(1), 28–53.
Abstract: We generalize the twoloop renormalization group equations for the parameters of the softly broken SUSY gauge theories given in the literature to the most general case when the gauge group contains more than a single Abelian gauge factor. The complete method is illustrated at twoloop within a specific example and compared to some of the previously proposed partial treatments.



Heinze, M., & Malinsky, M. (2011). Flavor structure of supersymmetric SO(10) GUTs with extended matter sector. Phys. Rev. D, 83(3), 035018–16pp.
Abstract: We discuss in detail the flavor structure of the supersymmetric SOd(10) grand unified models with the three traditional 16dimensional matter spinors mixed with a set of extra tendimensional vector multiplets which can provide the desired sensitivity of the standard model matter spectrum to the grand unified theory symmetry breakdown at the renormalizable level. We put the qualitative argument that a successful fit of the quark and lepton data requires an active participation of more than a single vector matter multiplet on a firm, quantitative ground. We find that the strict nogo obtained for the fits of the chargedsector observables in case of a single active matter 10 is relaxed if a second vector multiplet is added to the matter sector and excellent, though nontrivial, fits can be devised. Exploiting the unique calculable part of the neutrino mass matrix governed by the SUd(2)(L) triplet in the 54dimensional Higgs multiplet, a pair of genuine predictions of the current setting is identified: a nonzero value of the leptonic 13 mixing close to the current 90% C.L. limit and a small leptonic Dirac CP phase are strongly preferred by all solutions with the globalfit chi(2) values below 50.



Hirsch, M., Malinsky, M., Porod, W., Reichert, L., & Staub, F. (2012). Hefty MSSMlike light Higgs in extended gauge models. J. High Energy Phys., 02(2), 084.
Abstract: It is well known that in the MSSM the lightest neutral Higgs h(0) must be, at the tree level, lighter than the Z boson and that the loop corrections shift this stringent upper bound up to about 130GeV. Extending the MSSM gauge group in a suitable way, the new Higgs sector dynamics can push the treelevel mass of h(0) well above the treelevel MSSM limit if it couples to the new gauge sector. This effect is further pronounced at the loop level and h(0) masses in the 140GeV ballpark can be reached easily. We exemplify this for a sample setting with a lowscale U(1)(R) x U(1)(BL) gauge symmetry in which neutrino masses can be implemented via the inverse seesaw mechanism.



Leitner, R., Malinsky, M., Roskovec, B., & Zhang, H. (2011). Nonstandard antineutrino interactions at Daya Bay. J. High Energy Phys., 12(12), 001–26pp.
Abstract: We study the prospects of pinning down the effects of nonstandard antineutrino interactions in the source and in the detector at the Daya Bay neutrino facility. It is well known that if the nonstandard interactions in the detection process are of the same type as those in the production, their net effect can be subsumed into a mere shift in the measured value of the leptonic mixing angle theta(13). Relaxing this assumption, the ratio of the antineutrino spectra measured by the Daya Bay far and near detectors is distorted in a characteristic way, and good fits based on the standard oscillation hypothesis are no longer viable. We show that, under certain conditions, three years of Daya Bay running can be sufficient to provide a clear hint of nonstandard neutrino physics.



Malinsky, M. (2013). Fun with the Abelian Higgs model. Eur. Phys. J. C, 73(5), 2415–12pp.
Abstract: In calculations of the elementary scalar spectra of spontaneously broken gauge theories there are a number of subtleties which, though it is often unnecessary to deal with them in the orderofmagnitude type of calculations, have to be taken into account if fully consistent results are sought for. Within the “canonical” effectivepotential approach these are, for instance: the need to handle infinite series of nested commutators of derivatives of fielddependent mass matrices, the need to cope with spurious IR divergences emerging in the consistent leadingorder approximation and, in particular, the need to account for the fine interplay between the renormalization effects in the oneand twopoint Green functions which, indeed, is essential for the proper stable vacuum identification and, thus, for the correct interpretation of the results. In this note we illustrate some of these issues in the realm of the minimal Abelian Higgs model and two of its simplest extensions including extra heavy scalars in the spectrum in attempt to exemplify the key aspects of the usual “hierarchy problem” lore in a very specific and simple setting. We emphasize that, regardless of the omnipresent polynomial cutoff dependence in the oneloop corrections to the scalar twopoint function, the physical Higgs boson mass is always governed by the associated symmetrybreaking VEV and, as such, it is generally as UVrobust as all other VEVdriven masses in the theory.

