TeV Scale Leptoquarks as a Signature of Standard--like Superstring Models

We show that there can be TeV scale scalar and fermionic leptoquarks with very weak Yukawa couplings in a generic standard--like superstring model. Leptoquark--(down--like) quark mixing though present, is not large enough to violate the unitarity bounds on the CKM matrix. The constraints on leptoquark masses and couplings from FCNCs are easily satisfied whereas those from baryon number violation may cause problems. The leptoquarks of the model are compared to the ones in $E_6$ Calabi--Yau and flipped $SU(5) \times U(1)$ models.Comment: 14 pages, uses phyzzx.tex, WIS-93/114/DEC-PH. (Section 2 is shortened, comparison to the flipped SU(5)XU(1) models added in Section 5 and six references added.

Proton stability in superstring derived models

I discuss the problem of proton decay, from dimension four, five and six operators, in superstring derived standard--like models. I classify the sectors that produce color triplet superfields which may generate proton decay from dimension five and six operators. I show that for two of these sectors there exist a unique superstring doublet--triplet splitting mechanism that projects out the color triplets by means of the GSO projection, while leaving the electroweak doublets in the physical spectrum. I investigate possible proton decay due to additional color triplets in the massless spectrum and due to nonrenormalizable terms. I show that there exist models in which the dimension four, five and six operators, that lead to proton decay, are forbidden by the symmetries of the string models, to all orders of nonrenormalizable terms.Comment: IASSNS--HEP--94/18, 19 pages, uses PHYZZ

Cabibbo Mixing in Superstring Derived Standard--like Models

We examine the problem of generation mixing in realistic superstring derived standard--like models, constructed in the free fermionic formulation. We study the possible sources of family mixing in these models . In a specific model we estimate the Cabibbo angle. We argue that a Cabibbo angle of the correct order of magnitude can be obtained in these models.Comment: WIS--92/3/JAN--PH, 15 page

Construction of Realistic superstring Standard--like Models

I discuss the construction of realistic superstring standard--like models in the four dimensional free fermionic formulation. I discuss proton lifetime constraints on superstring models. I discuss the massless spectrum of the superstring standard--like models, the texture of fermion mass matrices in these models and argue that the realistic features of these models are due to the underlying $Z_2\times Z_2$ orbifold compactification. (talk presented at the TEXAS\\PASCHOS conference, Berkeley CA, December 13--18 1992)Comment: WIS--92/103/DEC--PH, 8 page

Gauge and Matter Condensates in Realistic String Models

We examine the inter-relationship of the superpotential containing hidden and observable matter fields and the ensuing condensates in free fermionic string models. These gauge and matter condensates of the strongly interacting hidden gauge groups play a crucial role in the determination of the physical parameters of the observable sector. Supplementing the above information with the requirement of modular invariance, we find that a generic model with only trilinear superpotential allows for a degenerate (and sometimes pathological) set of vacua. This degeneracy may be lifted by higher order terms in the superpotential. We also point out some other subtle points that may arise in calculations of this nature. We exemplify our observations by computing explicitly the modular invariant gaugino and matter condensates in the flipped SU(5) string model with hidden gauge group $SO(10)\times SU(4)$.Comment: 11 pages (7 if reduced

Μέθοδοι της θεωρίας πινάκων σε στοχαστικά μοντέλα

Εθνικό Μετσόβιο Πολυτεχνείο--Μεταπτυχιακή Εργασία. Διεπιστημονικό-Διατμηματικό Πρόγραμμα Μεταπτυχιακών Σπουδών (Δ.Π.Μ.Σ.) “Εφαρμοσμένες Μαθηματικές Επιστήμες

The Search for a realistic flipped SU(5) string model

We present an extensive search for a general class of flipped $SU(5)$ models built within the free fermionic formulation of the heterotic string. We describe a set of algorithms which constitute the basis for a computer program capable of generating systematically the massless spectrum and the superpotential of all possible models within the class we consider. Our search through the huge parameter space to be explored is simplified considerably by the constraint of $N=1$ spacetime supersymmetry and the need for extra $Q,\bar Q$ representations beyond the standard ones in order to possibly achieve string gauge coupling unification at scales of {\cal O}(10^{18}\GeV). Our results are remarkably simple and evidence the large degree of redundancy in this kind of constructions. We find one model with gauge group SU(5)\times U(1)_\ty\times SO(10)_h\times SU(4)_h\times U(1)^5 and fairly acceptable phenomenological properties. We study the $D$- and $F$-flatness constraints and the symmetry breaking pattern in this model and conclude that string gauge coupling unification is quite possible.Comment: 44 page

Higgs Mass Textures in Flipped SU(5)

We analyze the Higgs doublet-triplet mass splitting problem in the version of flipped SU(5) derived from string theory. Analyzing non-renormalizable terms up to tenth order in the superpotential, we identify a pattern of field vev's that keeps one pair of electroweak Higgs doublets light, while all other Higgs doublets and all Higgs triplets are kept heavy, with the aid of the economical missing-doublet mechanism found in the field-theoretical version of flipped SU(5). The solution predicts that second-generation charge -1/3 quarks and charged leptons are much lighter than those in the third generation.Comment: 15 pages LaTe

Symmetries at ultrahigh energies and searches for neutrino oscillations

Motivated by the possibility that new (gauge) symmetries which are broken at the grand- (string-) unification scale give rise to texture zeros in the fermion mass matrices which are at the origin of the hierarchy of masses and mixings we explore the effect of such zeros on the neutrino spectrum of SUSY-GUT models. We find that the quadratic-seesaw spectrum on which most expectations are focused is neither the only nor the most interesting possibility. Cases of strong $\nu_{\mu} - \nu_{\tau}$ or $\nu_e - \nu_{\tau}$ mixing are present for a specific texture structure of the Yukawa matrices and experimental evidence can thus throw some light on the latter. In contrast if the quadratic-seesaw scenario should be confirmed very little could be said about the symmetries of the Yukawa sector.Comment: 13 pages of LATE

Supersymmetry and Light Quark Masses in a Realistic Superstring Model

We examine the light quark masses in a standard--like superstring model in the four dimensional free fermionic formulation. We find that the supersymmetry constraints in the observable and hidden sectors eliminate all large contributions to $m_u$ and $m_d$ and force them to be much smaller than the other quark masses. The requirement for an acceptable Higgs doublet spectrum results in $m_u<<m_d$. In these models a realistic $m_d$ can always be obtained whereas $m_u$ is at most $10^{-5}~MeV$. For particular choices of flat directions or vacua $m_u$ can be as small as $10^{-7}~MeV$ but cannot vanish.Comment: WIS-93/98/OCT-PH, 22 pages and 2 tables, uses phyzzx.tex and tables.te