Conference Summary and Outlook: Particle Physics Past, Present, and Future
I briefly summarize highlights of ICHEP2018, comment on the 50th anniversary of the Standard Model, and share some of my thoughts for the future.
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arXiv subjects
Paul Langacker
Publications and source records attributed to Paul Langacker.
TASI Lectures on Remnants from the String Landscape
Superstring theories are very promising theoretically, but the enormous landscape of string vacua and the (likely) very large underlying string scale imply that they may never be tested directly. Nevertheless, concrete constructions consistent with the observed world frequently lead to observable remnants, i.e., new particles or features that are apparently accidental consequences of the ultraviolet theory and that are typically not motivated by specific shortcomings of the standard models of particle physics or cosmology. For example, moduli, axions, large extended gauge sectors, additional $Z'$ gauge bosons, extended Higgs/Higgsino sectors, and quasi-chiral exotics are extremely common. They motivate alternative cosmological paradigms and could lead to observable signatures at the LHC. Similar features can emerge in other standard model extensions, but in the stringy case they are more likely to occur in isolation and not as part of a more complete TeV-scale structure. Conversely, some common aspects of the infinite "landscape" of field theories, such as large representations, are expected to be very rare in the string landscape, and observation of features definitively in the swampland could lead to falsification. In this article, common stringy remnants and their phenomenology are surveyed, and implications for indirectly supporting or casting doubt on string theory are discussed.
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String Consistency, Heavy Exotics, and the $750$ GeV Diphoton Excess at the LHC
String consistency conditions are stronger than anomaly cancellation and can require the addition of exotics in the visible sector. We study such exotics and demonstrate that they may account for the modest excess at $750$ GeV in recent diphoton resonance searches performed by the ATLAS and CMS collaborations. In a previous analysis of type II MSSM D-brane quivers we systematically added up to five exotics for the sake of satisfying string consistency conditions. Using this dataset, we demonstrate that 89780 of the 89964 quivers have exotics, 78155 of which include singlets that may couple to MSSM or exotic multiplets with coupling structures governed by $U(1)$ symmetries that are often anomalous. We demonstrate that certain sets of exotics are far preferred over others and study the structure of singlet couplings to heavy exotics carrying standard model charges. Typical possibilities include singlets that may decay to vector-like quarks and / or vector-like leptons and subsequently to two photons. We show that a narrow width diphoton excess can be accounted for while evading existing bounds if multiple exotics are added, with vector-like leptons of mass $M_L\lesssim 375$ GeV and vector-like quarks with masses up to $\simeq 3$ TeV. However, a large width $(Γ/M \sim 0.06)$, as suggested by the ATLAS data, cannot be easily accommodated in this framework. Renormalization group equations with GUT-scale boundary conditions show that these supersymmetric models are perturbative and stable. Type IIA compactifications on toroidal orbifolds allow for $O(10)$ Yukawa couplings in the ultraviolet. We also discuss the possibility of accounting for the diphoton excess in a low string scale scenario via the decay of string axions.
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String Consistency, Heavy Exotics, and the 750 GeV Diphoton Excess at the LHC: Addendum
We study models with heavy exotics that account for the LHC $750$ GeV diphoton excess in light of current vector-like quark bounds. Utilizing only exotics that may appear in three-stack and four-stack D-brane models, we show that a narrow width diphoton excess can be accounted for while evading existing bounds if multiple exotics are added, with vector-like leptons of mass $M_L\lesssim 375$ GeV and vector-like quarks with masses up to $\simeq 3$ TeV. However, a large width $(Γ/M \sim 0.06)$, as suggested by the ATLAS data, cannot be easily accommodated in this framework. Renormalization group equations with GUT-scale boundary conditions show that these supersymmetric models are perturbative and stable. Type IIA compactifications on toroidal orbifolds allow for $O(10)$ Yukawa couplings in the ultraviolet.
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Diagnosis of a New Neutral Gauge Boson at the LHC and ILC for Snowmass 2013
A U(1)' or Z' is generic in many scenarios of physics beyond the Standard Model, such as string theory compactifications, GUTs, extra-dimensions, compositeness, dynamical electroweak symmetry breaking, dark-sector models, etc. We study the potential of probing a TeV-scale Z' with electroweak couplings in future experiments. In particular, we focus on two scenarios: (1) If a Z' is discovered at the LHC, what is the potential of measuring its mass and width and to distinguish between benchmark models utilizing various observables, especially asymmetries, at a high luminosity LHC and the ILC. (2) If the Z' is not accessible as a clear resonance signal, what is the exclusion reach at the ILC.
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Ultraviolet Completions of Axigluon Models and Their Phenomenological Consequences
The CDF and D0 collaborations have observed a forward-backward asymmetry in t-tbar production at large invariant mass in excess of the standard model prediction. One explanation involves a heavy color octet particle with axial vector couplings to quarks (an axigluon). We describe and contrast various aspects of axigluons obtained from the breaking of a chiral SU(3)_L x SU(3)_R gauge theory both from the standpoint of a string-inspired field theory and from a quiver analysis of a local type IIa intersecting brane construction. Special attention is paid to the additional constraints and issues that arise from these classes of top-down constructions compared with the more common effective field theory approach. These include the implications of a perturbative connection to a large scale; Yukawa couplings, which must be generated from higher-dimensional operators in many constructions; anomaly cancellation, in particular the implications of the required exotics for the axigluon width, perturbativity, and the signatures from exotic decays; the possibility of family nonuniversality via mirror representations, mixing with exotics, or additional SU(3) factors; the additional constraints from anomalous U(1) factors in the string constructions; tadpole cancellation, which implies new uncolored matter; the prevention of string-scale masses for vector pairs; and various phenomenological issues involving FCNC, CKM constraints, and the axigluon coupling strength. It is concluded that the construction of viable axigluon models from type IIa or similar constructions is problematic and would require considerable fine tuning, but is not entirely excluded. These considerations illustrate the importance of top-down constraints on possible TeV-scale physics, independent of the ultimate explanation of the t-tbar asymmetry.
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Implications of String Constraints for Exotic Matter and Z' s Beyond the Standard Model
Global consistency of string compactifications places constraints on the chiral matter spectrum of a gauge theory which include those necessary for the absence of cubic nonabelian anomalies, but also contain some additional conditions. In the class of theories we study, some of these are present in a field theory augmented by anomalous U(1)'s and Chern-Simons terms, but some are genuinely not present in field theory. Their violation has phenomenological implications, rendering inconsistent many quiver gauge theories with the chiral matter spectrum of the MSSM. The inconsistent MSSM quivers often violate the constraints in a particular way that is suggestive of what matter must be added for consistency. The preferred matter additions are MSSM singlets with anomalous U(1) charge, hyperchargeless SU(2) triplets, quasichiral Higgs or lepton isodoublet pairs, quasichiral quark isosinglet pairs, and nonabelian singlets with charge +-1. Smaller numbers of quark isodoublet pairs, lepton pairs with charges (+- 1,+- 2), and chiral fourth families are also found. We present the results of systematic analyses including multiplicity counts of matter beyond the standard model and also study the possibility of using the singlets for a dynamical perturbative μ-term or for neutrino mass. We also systematically study the appearance of additional non-anomalous U(1)' symmetries in the low energy theory and find that family non-universality is very common. These new physics effects may be observable at the LHC even for a large string scale close to the Planck scale.
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Light Sterile Neutrinos and Short Baseline Neutrino Oscillation Anomalies
We study two possible explanations for short baseline neutrino oscillation anomalies, such as the LSND and MiniBooNE anti-neutrino data, and for the reactor anomaly. The first scenario is the mini-seesaw mechanism with two eV-scale sterile neutrinos. We present both analytic formulas and numerical results showing that this scenario could account for the short baseline and reactor anomalies and is consistent with the observed masses and mixings of the three active neutrinos. We also show that this scenario could arise naturally from an effective theory containing a TeV-scale VEV, which could be related to other TeV-scale physics. The minimal version of the mini-seesaw relates the active-sterile mixings to five real parameters and favors an inverted hierarchy. It has the interesting property that the effective Majorana mass for neutrinoless double beta decay vanishes, while the effective masses relevant to tritium beta decay and to cosmology are respectively around 0.2 and 2.4 eV. The second scenario contains only one eV-scale sterile neutrino but with an effective non-unitary mixing matrix between the light sterile and active neutrinos. We find that though this may explain the anomalies, if the non-unitarity originates from a heavy sterile neutrino with a large (fine-tuned) mixing angle, this scenario is highly constrained by cosmological and laboratory observations.
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Neutrino Masses from the Top Down
General classes of mechanisms for generating small neutrino masses are surveyed from a top-down (superstring) perspective. In particular, string constructions have motivated various possibilities involving higher-dimensional operators, string instantons, and wave function overlaps in large or warped extra dimensions. These may yield small Dirac masses, Majorana masses via the Weinberg operator, or Majorana masses from a seesaw mechanism, though the latter typically differ in detail from the more conventional GUT models. Possibilities for mixing between light active and sterile neutrinos are surveyed.
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A Higgsophilic s-channel Z' and the CDF W+2J Anomaly
The CDF collaboration recently presented evidence for an excess in the dijet invariant mass distribution coming from events in a W+2j exclusive sample. Here we show that this excess can be explained by the s-channel production of a weakly coupled Higgsophilic Z' near M_Z' ~ 270 GeV which decays into a W^\pm and a charged Higgs at M_{H^\pm} ~ 150 GeV. While the simplest implementations of a general leptophobic Z' model quickly run into tensions with electroweak observables, a more specific Higgsophilic model evades these constraints without resorting to any fine-tuning. We discuss the distinctive features of this model, focusing on its particular signatures at the Tevatron.
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Z' Bosons at Colliders: a Bayesian Viewpoint
We revisit the CDF data on di-muon production to impose constraints on a large class of Z' bosons occurring in a variety of E_6 GUT based models. We analyze the dependence of these limits on various factors contributing to the production cross-section, showing that currently systematic and theoretical uncertainties play a relatively minor role. Driven by this observation, we emphasize the use of the Bayesian statistical method, which allows us to straightforwardly (i) vary the gauge coupling strength, g', of the underlying U(1)'; (ii) include interference effects with the Z' amplitude (which are especially important for large g'); (iii) smoothly vary the U(1)' charges; (iv) combine these data with the electroweak precision constraints as well as with other observables obtained from colliders such as LEP 2 and the LHC; and (v) find preferred regions in parameter space once an excess is seen. We adopt this method as a complementary approach for a couple of sample models and find limits on the Z' mass, generally differing by only a few percent from the corresponding CDF ones when we follow their approach. Another general result is that the interference effects are quite relevant if one aims at discriminating between models. Finally, the Bayesian approach frees us of any ad hoc assumptions about the number of events needed to constitute a signal or exclusion limit for various actual and hypothetical reference energies and luminosities at the Tevatron and the LHC.
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Requiem for an FCHAMP?
Fractionally charged massive particles (FCHAMPs) appear in extensions of the standard model, especially those with superstring constructions. The lightest FCHAMP would be absolutely stable and any produced during the early evolution of the Universe would be present today. The production, annihilation, and survival of L, a lepton with electroweak but no strong interactions, of mass m_L and charge Q_L (in units of the positron charge) are explored. Since massive charged particles behave like baryons, primordial nucleosynthesis and the cosmic background radiation temperature anisotropies limit the FCHAMP relic density leading to constraints on the Q_L - m_L relation. Further constraints are provided by the invisible width of the Z and by accelerator searches for massive, charged particles. We exploit the fact that in the early Universe the negatively charged L will combine with alpha particles and protons forming tightly bound, positively charged states. The Coulomb barriers between these positively charged bound states and the free L+ suppress late time annihilation in the Galaxy and on Earth, limiting any late-time reduction of relic FCHAMP pairs. The surviving FCHAMP abundance on Earth is orders of magnitude higher than the limits from terrestrial searches for fractionally charged particles, appearing to close the window on FCHAMPs. However, as Q_L approaches an integer these searches become increasingly insensitive, leaving some "islands" in the Q_L - m_L plane which may be explored by searching for FCHAMPs in the cosmic rays.
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Z' Bosons from E(6): Collider and Electroweak Constraints
Many models beyond the Standard Electroweak Theory, top-down or bottom-up, contain extensions of the gauge symmetry group by extra U(1)' factors which can be understood or treated as subgroups of E(6). A brief overview of such models is followed by a sketch of a systematic classification. We then describe how the resulting extra massive neutral gauge bosons can be searched for and in case of positive evidence diagnosed using electroweak and collider data.
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Singlet Extensions of the MSSM in the Quiver Landscape
We map out possible extensions of the MSSM in the context of type II string theory. We systematically investigate three-stack and four-stack quivers which realize the MSSM spectrum with the addition of a single MSSM singlet S with an allowed S H_u H_d term, which can lead to a dynamical electroweak-scale mu-term. We present the three quivers which satisfy stringent string-theoretic and phenomenological constraints, including the presence of non-zero masses for all three families of quarks and leptons, the perturbative and non-perturbative absence of R-parity violating couplings and rapid dimension-five proton decay, and a mechanism for small neutrino masses. We find that these quivers can realize many models in the class of singlet-extended (supersymmetric) standard models, as D-instanton effects can in principle generate a superpotential of the form f(S), where f is a polynomial. Finally, we address the issue of the stabilization and decoupling of charged moduli which generically appear in D-instanton corrections to the superpotential.
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Precision Constraints on Extra Fermion Generations
There has been renewed interest in the possibility of additional fermion generations. At the same time there have been significant changes in the relevant electroweak precision constraints, in particular, in the interpretation of several of the low energy experiments. We summarize the various motivations for extra families and analyze them in view of the latest electroweak precision data.
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Combining Anomaly and Z' Mediation of Supersymmetry Breaking
We propose a scenario in which the supersymmetry breaking effect mediated by an additional U(1)' is comparable with that of anomaly mediation. We argue that such a scenario can be naturally realized in a large class of models. Combining anomaly with Z' mediation allows us to solve the tachyonic slepton problem of the former and avoid significant fine tuning in the latter. We focus on an NMSSM-like scenario where U(1)' gauge invariance is used to forbid a tree-level mu term, and present concrete models, which admit successful dynamical electroweak symmetry breaking. Gaugino masses are somewhat lighter than the scalar masses, and the third generation squarks are lighter than the first two. In the specific class of models under consideration, the gluino is light since it only receives a contribution from 2-loop anomaly mediation, and it decays dominantly into third generation quarks. Gluino production leads to distinct LHC signals and prospects of early discovery. In addition, there is a relatively light Z', with mass in the range of several TeV. Discovering and studying its properties can reveal important clues about the underlying model.
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The Weinberg Operator and a Lower String Scale in Orientifold Compactifications
We investigate the interplay between the string scale and phenomenological scales in orientifold compactifications. Specifically, we discuss in generality the tension that often arises in accounting for neutrino masses, Yukawa couplings, and a mu-term of the correct order and show that it often constrains the string scale M_s. The discussion focuses on two scenarios where, (1) the observed order of the neutrino masses are accounted for by a D-instanton induced "stringy" Weinberg operator, or (2) effectively via the type I seesaw mechanism with an instanton induced Majorana mass term. In both scenarios, the string scale might be further constrained if the suppression factor of a single D-instanton must account for two of the phenomenological scales. For the sake of concreteness, we present phenomenologically viable quivers which exhibit these effects and perform a systematic analysis of four-stack and five-stack quivers which give rise to the exact MSSM spectrum and account for the order of the neutrino masses via the stringy Weinberg operator.
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Six-Lepton Z' Resonance at the Large Hadron Collider
New physics models admit the interesting possibility of a Z' weak boson associated with an extra U(1) gauge symmetry and a Higgs boson that is heavy enough to decay into a pair of Z bosons. Then Z' production and decay via Z' -> ZH -> ZZZ has a distinctive LHC signal that is nearly background free and reconstructs the H and Z' masses and widths. The Z' decay to 3 pairs of leptons is especially distinctive. The ZH decay mode exists even if the Z' is decoupled from leptons, which motivates an independent 6-lepton resonance search regardless of the dilepton search results.
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