MSGUT : the next Avtar

We report the viability of the Type I seesaw mechanism in 3 generation renormalizable SO(10) GUTs based on the \mathbf{{210-10-\oot-126-120}} Higgs system. The $\mathbf{120}$ -plet and $\mathbf{10}$-plet Higgs fit charged fermion masses while small $\mathbf{\bar{126}}$-plet couplings enhance Type I seesaw neutrino masses to viable values and make the fit to light fermions accurate. For the 3 generation CP conserving case we display accurate charged fermion fits ($\chi^2_{tot} < .2$) which imply Type I neutrino masses $10^2- 10^3$ times larger than the $\mathbf{10-\bar{126}}$ scenario. The correct ratio of neutrino mass squared splitting, large($\theta_{23}^{PMNS}$) and small($\theta_{13}^{PMNS}$) mixing angle are achievable. $\theta_{12}^{PMNS}$ is however small and indicates that -as in the Type I \mathbf{10-\oot} case - a fully realistic fit to the lepton mixing data also \emph{requires} CP violation.Comment: 4 pages, submitted to Proceedings ICHEP06, Moscow, 26 July - 2 August, 200

Fermion Mass Hierarchy in the Nu MSGUT I : The Real Core

The recent failure of the scenario which uses only \mathbf{10,\oot} Higgs multiplets to yield large enough neutrino masses in the $\mathbf{SO(10) }$ \textbf{MSGUT} motivates an alternative scenario\cite{blmdoom} where the $\mathbf{120}$ -plet collaborates with the $\mathbf{10}$ -plet to fit the dominant charged fermion masses. The small \mathbf{\oot} -plet couplings give appreciable contributions only to light charged fermion masses {\textit{and}} enhance the Type I seesaw masses to viable values. We analyze the 2-3 generation core of the complete hierarchical fermion mass system in the CP conserving approximation. \emph{Ansatz} consistency \emph{requires} ${\mathbf{m_b-m_s = m_{\tau}-m_{\mu}}}$ at the GUT scale $M_X$ and predicts near maximal (PMNS) mixing in the leptonic sector for central values of charged fermion parameters and for wide ranges of the other relevant parameters : righthanded neutrino masses and relative strength of contributions of the two doublet pairs from the $\mathbf{120}$-plet to the effective MSSM Higgs pair. These features are preserved in the CP preserving 3 generation system whose results are previewed : an additional consistency requirement $\mathbf{\theta_{13}^c =\theta_{12}^c \theta_{23}^c }$ on the CKM angles at $M_X$ arises for 3 generations. Right handed neutrino masses in such scenarios are all less than about $10^{12} GeV$.Comment: 27 pages, 7 postscript figure

Left-Right SUSY and the Fate of R-Parity

A fresh analysis of Left right symmetric supersymmetric models in the generic case where the scale of right handed symmetry breaking $M_R >> M_{SUSY}\sim M_W$ is presented. We conclude that the low energy effective theory for such models is essentially the MSSM with R parity (and therefore B,L symmetry) but the spectrum includes heavy conjugate neutrino supermultiplets that permit a seesaw mechanism and several characteristic charged supermultiplets over and above those of the MSSM.Comment: Invited talk at PAST-97, Trieste, October 1997 and SUSYUNI, TIFR, Bombay, December 1997. 11 pages, title page needs sprocl.st

GUT Genealogies for Susy Seesaw Higgs

We discuss the embedding of R-Parity preserving Minimal Left Right Supersymmetric models into Pati-Salam and SO(10) GUTs.Comment: Proceedings of SUSY01, Dubna, Russia, June 2001. 3 pages, uses sprocl.tex References expanded and extended, one typo correcte

Msgut Reborn ?

We present examples of fits of fermion mass data using the \mathbf{10-120-\oot} FM Higgs system in Susy SO(10) GUTs that follow the scenario\cite{blmdoom,nmsgutI} in which the $\mathbf{120}$ -plet collaborates with the $\mathbf{10}$-plet to fit the charged fermion masses while small \mathbf{\oot} -plet couplings enhance the Type I seesaw neutrino masses to viable values and make the fit to light fermions accurate. Restricting ourselves to the CP conserving case we use a linear perturbative technique to obtain accurate charged fermion fits ($\chi^2_{tot} < .2$) to all the charged fermion masses and angles. The resulting fits imply Type I neutrino masses that are generically $10^2- 10^3$ times larger than those obtained in the \mathbf{10-\oot} scenario precisely because of the small \mathbf{\oot} coupling. Thus the difficulty of obtaining sufficiently large neutrino masses in the context of these Next to Minimal Susy GUTs is essentially removed. The remaining free parameters allow one to obtain the correct ratio of neutrino mass squared splitting and a large($\theta_{23}^{PMNS}$) and small($\theta_{13}^{PMNS}$) mixing angle. The $\theta_{12}^{PMNS}$ is however small and this indicates that -as in the Type I \mathbf{10-\oot} case - a fully realistic fit to the lepton mixing data also \emph{requires} CP violation.Comment: Typos corrected, coefficient notation simplified slightl

Truly Minimal Unification : Asymptotically Strong Panacea ?

We propose Susy GUTs have a UV attractor at E ~ Lambda_{cU} ~ 10^{17} GeV where gauge symmetries ``confine'' forming singlet condensates at scales E ~ Lambda_{cU}. The length l_U ~ Lambda_{cU}^{-1} characterizies the size of gauge non- singlet particles yielding a picture dual to the Dual Standard model of Vachaspati. This Asymptotic Slavery (AS) fixed point is driven by realistic Fermion Mass(FM) Higgs content which implies AS. This defines a dynamical morphogenetic scenario dependent on the dynamics of UV strong N=1 Susy Gauge-Chiral(SGC) theories. Such systems are already understood in the AF case but ignored in the AS case. Analogy to the AFSGC suggests the perturbative SM gauge group of the Grand Desert confines at GUT scales i.e GUT symmetry is ``non-restored''. Restoration before confinement and self-inconsistency are the two other (less likely) logical possibilities. Truly Minimal (TM) SU(5) and SO(10) models with matter and FM Higgs only are defined; AM (adjoint multiplet type) Higgs may be introduced for a Classical Phase Transition (CPT) description. Renormalizability and R-Parity leave only the low energy (SM) data as free parameters in the TM (Quantum PT) case. Besides ab initio resolution of the Heirarchy problem and choice of Susy vacuum, fresh perspectives on particle elementarity and duality, doublet triplet splitting, proton decay suppression, soft Susy masses etc open up. ``Elastic'' (spin 2 and spin 3/2) fluctuations of the AS (or pleromal) condensate coupling universally to SM particles with length scale l_U ~ l_{Pl} imply an effective N=1 (super)gravity in the Grand Desert, in which gaugino condensates yield soft Susy breaking. The AF dogma must be proven or discarded.Comment: Revtex 8 pages. Typos corrected, 5 references added. Additional Comments on particle size, duality to DSM, QPT constraints, effective gravity, zero cosmological constant inserted in Sections B,F and

Bajc-Melfo Vacua enable YUMGUTs

Bajc-Melfo(\textbf{BM}) two field ($S,\phi$) superpotentials define metastable F-term supersymmetry breaking vacua suitable as hidden sectors for calculable and realistic family and Grand Unification unification models. The undetermined vev of the Polonyi field that breaks Supersymmetry can be fixed either by coupling to N=1 Supergravity or by radiative corrections. \textbf{BM} hidden sectors extend to symmetric multiplets $(S,\phi)_{ab}$ of a gauged $O(N_g)$ family symmetry, broken at the GUT scale, so that the $O(N_g)$ charged component vevs are also undetermined before accounting for the $O(N_g)$ D-terms: which fix them by cancellation against D-term contributions from the visible sector. This facilitates Yukawon Ultra Minimal GUTs(YUMGUTs) proposed in [C.S.Aulakh and C.K.Khosa, Phys.Rev.D 90,045008(2014)] by relieving the visible sector from the need to give null D-terms for the family symmetry $O(N_g)$. We analyze symmetry breaking and and spectra of the hidden sector fields in the Supergravity resolved case when $N_g=1,2,3$. Besides the Polonyi field $S_s$, most of the superfields $\hat S_{ab}$ remain light, with fermions getting masses only from loop corrections. Such modes may yield novel dark matter lighter than 100 GeV. Possible Polonyi and moduli problems associated with the the fields $S_{ab}$ call for detailed investigation of loop effects due to the Yukawa and gauge interactions in the hidden sector and of post-inflationary field relaxation dynamics.Comment: Published version, 23 pages, pdfLate

MSSM Higgs : Window into Susy GUTs

The Minimal Supersymmetric SO(10) GUT has developed into a fully realistic theory in which not only are the gauge couplings unified but the known fermion spectrum and mixing matrices could fit accurately using the latitude introduced by inclusion of quantum corrections to the GUT-effective MSSM-SM matching conditions. The fits yield predictions about the nature of the sparticle spectrum on the basis of the required threshold corrections. This indicated a necessarily large value for $A_0$ in 2008 : well before Higgs discovery at 126 GeV made it a commonplace assumption. GUT scale threshold corrections to the normalization of the emergent effective MSSM Higgs ameliorate the long standing Susy GUT puzzle of fast dimension five operator mediated proton decay. Numerical investigation indicates that B-violation rates below or near the current experimental upper limits are feasible in fully realistic models. Our results imply that UV completion models with large numbers of fields, like Kaluza-Klein models or String Theory, must be able to compute threshold corrections to be considered quantitative theories and not just fables. Required improvements in the fitting procedure are discussed. A generalization of the NMSGUT by gauging the flavour symmetry of the kinetic terms,while retaining renormalizability and the successful MSGUT symmetry breaking patterns, may allow dynamical generation of the observed Yukawa structure of the MSSM via the spontaneous breaking of the full gauge symmetry down to the MSSM at the unification scale. Focus on the emergence of the MSSM Higgs from the multiple Higgs doublets in the GUT thus provides a crucial window to view the energetically remote UV dynamics specified in fully calculable and realistic MSGUTs.Comment: PdfLatex,11 pages. Requires PoS style file. Accepted for publication in the proceedings of the 18th International Conference From the Planck Scale to the Electroweak Scale, Ioannina,Greece, 25-29 May 201

Babel on the Petaplex site: On Rival Calculational methods in SO(10) MSGUTs

We compare and contrast the computations that lead to the NMSGUT spectra and Yukawa couplings that appeared\cite{nmsgut} in 2006 and a recent recalculation of the same\cite{malinsky}. We argue that an explicit component based method of computation jeopardizes the power of SO(10) and its sub-groups to organize, in a unified and automatically phase correlated way, computations of dynamics beyond the basic mass matrix computation. The correct (one line) prescription for generating MSSM Yukawas from SO(10) ones was given in \cite{ag2} and requires no computation beyond the identification of null vectors of the Higgs doublet mass matrix and the Clebsches given in \cite{ag1,ag2}. It was already used to derive all fermion Yukawas and Majorana masses in \cite{ag2,nmsgut}. We thus urge the adoption of a uniform notation and methodology based on descent from SO(10) to the SM through the Pati-Salam maximal subgroup of SO(10) to avoid Babel in this rapidly developing and highly promising subject.Comment: 12 pages,Latex. Comments modifie

Emergence of the NMSGUT

We trace the emergence of the ``New Minimal'' supersymmetric SO(10) GUT (NMSGUT) out of the debris created by our demonstration that the MSGUT is falsified by the data. The NMSGUT is based on ${\bf{210\oplus 10\oplus 120\oplus 126\oplus {\bar {126}}}}$ Higgs system. It has only spontaneous CP violation and Type I seesaw. With only 24 real superpotential parameters it is the simplest model capable of accommodating the known 18 parameter fermion mass data set and yet has enough freedom to accommodate the still unknown Leptonic CP violation and neutrino mass scale parameters. Our focus is on the two most salient features uncovered by our analysis: the domination of the ${\bf{\bar{126}}}$ Yukawa couplings by those of the ${\bf{10,120}}$ (required for evasion of the no-go that trapped the MSGUT) and the inescapable raising of the Baryon violation scales(and thus suppression of proton decay) decreed by a proper inclusion of the threshold effects associated with the calculated superheavy spectra. These two structural features are shown to be complementary.Comment: Plenary talk at IWTHEP, Roorkee, India, March 15-20, 2007. Three .eps figures, one tabl