IA Scholar Query: Semi-Unification of Two Terms in Abelian Groups.
https://scholar.archive.org/
Internet Archive Scholar query results feedeninfo@archive.orgThu, 29 Sep 2022 00:00:00 GMTfatcat-scholarhttps://scholar.archive.org/help1440Matter-antimatter asymmetry restrains the dimensionality of neural representations: quantum decryption of large-scale neural coding
https://scholar.archive.org/work/owy6xa2v3bcx3muopa5kiug5hm
Projections from the study of the human universe onto the study of the self-organizing brain are herein leveraged to address certain concerns raised in latest neuroscience research, namely (i) the extent to which neural codes are multidimensional; (ii) the functional role of neural dark matter; (iii) the challenge to traditional model frameworks posed by the needs for accurate interpretation of large-scale neural recordings linking brain and behavior. On the grounds of (hyper-)self-duality under (hyper-)mirror supersymmetry, inter-relativistic principles are introduced, whose consolidation, as spin-geometrical pillars of a network- and game-theoretical construction, is conducive to (i) the high-precision reproduction of core experimental observations on neural coding in the self-organizing brain, whereby the instantaneous geometric dimensionality of neural representations of a spontaneous behavioral state is proven to be at most 16, unidirectionally; (ii) spinor (co-)representations, as the latent building blocks of self-organizing cortical circuits subserving (co-)behavioral states; (iii) an early crystallization of pertinent multidimensional synaptic (co-)architectures, whereby Lorentz (co-)partitions are in principle verifiable; and, ultimately, (iv) potentially inverse insights into matter-antimatter asymmetry. New avenues for the decryption of large-scale neural coding in health and disease are being discussed.Sofia Karamintziouwork_owy6xa2v3bcx3muopa5kiug5hmThu, 29 Sep 2022 00:00:00 GMTFlavour-universal search for heavy neutral leptons with a deep neural network-based displaced jet tagger with the CMS experiment
https://scholar.archive.org/work/gb63ulsuuzhixe7bhaqbgb7a5q
This thesis describes a search for long-lived heavy neutral leptons using a dataset of 137/fb collected during the 2016-2018 proton-proton runs with the CMS detector. The search uses a final state containing two leptons and at least one hadronic jet. This is the first analysis at the Large Hadron Collider which considers universal mixing between the Standard Model and heavy neutral lepton species. The search makes heavy use of a deep neural network-based displaced jet tagging algorithm, originally developed to target heavy long-lived gluino decays. The tagger was trained on both simulation and proton-proton collision data using the domain adaptation technique, which significantly improved the modelling of its output in simulation. The tagger has excellent performance for a range of long-lived particle lifetimes and generalises well to various flavours of displaced jets. In this analysis, the backgrounds are estimated in an entirely data-driven manner. No evidence for heavy neutral leptons is observed, and upper limits are set for a wide range of heavy neutral lepton mass, lifetime, and mixing scenarios. This is the most sensitive search for heavy neutral leptons in the 1–12 GeV mass range to date.Vilius Cepaitis, Alexander Tapper, Science And Technology Facilities Councilwork_gb63ulsuuzhixe7bhaqbgb7a5qWed, 28 Sep 2022 00:00:00 GMTSM Extension With Gauged Flavor U(1)_F
https://scholar.archive.org/work/rrfe5j64fzealn77fnz6oqaiua
Extension of the Standard Model with anomaly free U(1)_F flavor symmetry is studded. With this extension and addition of the right handed neutrino states the solution of anomaly free charge assignment is found, which gives appealing texture zero and hierarchical Yukawa matrices. This gives natural understanding of hierarchies between charged fermion masses and CKM matrix elements. Neutrino Dirac and Majorana coupling matrices also have desirable structures leading to successful neutrino oscillations with inverted neutrino mass ordering. Other interesting implications of the presented scenario are also discussed.Zurab Tavartkiladzework_rrfe5j64fzealn77fnz6oqaiuaWed, 28 Sep 2022 00:00:00 GMTInflationary phenomenology of quadratic gravity in the Palatini formulation
https://scholar.archive.org/work/quaon6ge45evvaaglpa5fvs3zm
Angelos Lykkas, University Of Ioanninawork_quaon6ge45evvaaglpa5fvs3zmMon, 26 Sep 2022 00:00:00 GMTOPE-based Methods in Nonperturbative QCD
https://scholar.archive.org/work/zopwejc7zff47do6mksp46jb5i
I describe the inception and development of nonperturbative OPE-based methods in hadronic physics, such as the SVZ sum rules, inverse heavy quark mass expansion (IHQME) and so on and related topics. Invited contribution to the EPJC Volume celebrating 50 years of Quantum Chromodynamics, to be published in December 2022.M. Shifmanwork_zopwejc7zff47do6mksp46jb5iMon, 19 Sep 2022 00:00:00 GMTTowards a UV-Model of Kinetic Mixing and Portal Matter II: Exploring Unification in an SU(N) Group
https://scholar.archive.org/work/mfuoxm3jenepvpfd4wxr4yxnpm
If dark matter (DM) interacts with the Standard Model (SM) via the U(1)_D kinetic mixing (KM) portal at low energies, it necessitates not only the existence of portal matter (PM) particles which carry both dark and SM quantum numbers, but also a possible UV completion into which this U(1)_D and the SM are both embedded. In earlier work, following a bottom-up approach, we attempted to construct a more unified framework of these SM and dark sector interactions. In this paper we will instead begin to explore, from the top-down, the possibility of the unification of these forces via the decomposition of a GUT-like group, G→ G_SM× G_Dark, where U(1)_D is now a low energy diagonal subgroup of G_Dark and where the familiar G_SM=SU(5) will play the role of a proxy for the conventional SU(3)_c× SU(2)_L× U(1)_Y SM gauge group. In particular, for this study it will be assumed that G=SU(N) with N=6-10. Although not our main goal, models that also unify the three SM generational structure within this same general framework will also be examined. The possibilities are found to be quite highly constrained by our chosen set of model building requirements which are likely too strong when they are employed simultaneously to obtain a successful model framework.Thomas G. Rizzowork_mfuoxm3jenepvpfd4wxr4yxnpmTue, 13 Sep 2022 00:00:00 GMTTowards topological fixed-point models beyond gappable boundaries
https://scholar.archive.org/work/hvaoljaygfb7rdfqxolultsuuy
We consider fixed-point models for topological phases of matter formulated as discrete path integrals in the language of tensor networks. Such zero-correlation length models with an exact notion of topological invariance are known in the mathematical community as state-sum constructions or lattice topological quantum field theories. All of the established ansatzes for fixed-point models imply the existence of a gapped boundary as well as a commuting-projector Hamiltonian. Thus, they fail to capture topological phases without a gapped boundary or commuting-projector Hamiltonian, most notably chiral topological phases in 2+1 dimensions. In this work, we present a more general fixed-point ansatz not affected by the aforementioned restrictions. Thus, our formalism opens up a possible way forward towards a microscopic fixed-point description of chiral phases and we present several strategies that may lead to concrete examples. Furthermore, we argue that our more general ansatz constitutes a universal form of topological fixed-point models, whereas established ansatzes are universal only for fixed-points of phases which admit topological boundaries.Andreas Bauer, Jens Eisert, Carolin Willework_hvaoljaygfb7rdfqxolultsuuySun, 11 Sep 2022 00:00:00 GMTEntropy for actions of free groups under bounded orbit-equivalence
https://scholar.archive.org/work/pk5h7mrzpvcpflxrdzmdwubw3e
The f-invariant is a notion of entropy for probability-measure-preserving actions of free groups. We show it is invariant under bounded orbit-equivalence.Lewis Bowen, Yuqing Frank Linwork_pk5h7mrzpvcpflxrdzmdwubw3eWed, 07 Sep 2022 00:00:00 GMTThe Symmetry Principle in Condensed Matter Physics (I)
https://scholar.archive.org/work/tmep75zpzbgabjko43vdi6he4i
Symmetry distills the simplicity of natural laws from the complexity of physical phenomena. The symmetry principle is of vital importance in various aspects of modern physics, including analyzing atomic spectra, determining fundamental interactions in the Standard Model, and unifying physics at different energy scales. In this chapter, novel applications of this principle are reviewed in condensed matter physics and cold atom physics for exploring new states of matter.Congjun Wuwork_tmep75zpzbgabjko43vdi6he4iWed, 07 Sep 2022 00:00:00 GMTEarly-Universe Model Building
https://scholar.archive.org/work/hfrovzujq5allg6fj4eecwmk5a
Theoretical investigations into the evolution of the early universe are an essential part of particle physics that allow us to identify viable extensions to the Standard Model as well as motivated parameter space that can be probed by various experiments and observations. In this white paper, we review particle physics models of the early universe. First, we outline various models that explain two essential ingredients of the early universe (dark matter and baryon asymmetry) and those that seek to address current observational anomalies. We then discuss dynamics of the early universe in models of neutrino masses, axions, and several solutions to the electroweak hierarchy problem. Finally, we review solutions to naturalness problems of the Standard Model that employ cosmological dynamics.Pouya Asadi, Saurabh Bansal, Asher Berlin, Raymond T. Co, Djuna Croon, Yanou Cui, David Curtin, Francis-Yan Cyr-Racine, Hooman Davoudiasl, Luigi Delle Rose, Marco Drewes, Jeff A. Dror, Gilly Elor, Oliver Gould, Keisuke Harigaya, Saniya Heeba, Yonit Hochberg, Anson Hook, Seyda Ipek, Eric Kuflik, Andrew J. Long, Robert McGehee, Nadav Joseph Outmezguine, Giuliano Panico, Vivian Poulin, Josef Pradler, Katelin Schutz, Nausheen R. Shah, Bibhushan Shakya, Michael Shamma, Brian Shuve, Juri Smirnov, Yuhsin Tsai, Jessica Turner, Jorinde van de Vis, Christopher B. Verhaaren, Neal Weiner, Masaki Yamada, Tevong You, Hai-Bo Yuwork_hfrovzujq5allg6fj4eecwmk5aWed, 07 Sep 2022 00:00:00 GMTCosmology and dark matter
https://scholar.archive.org/work/uhpm2wevojacxcrdzjrxcc4tuy
Cosmology and astroparticle physics give the strongest possible evidence for the incompleteness of the Standard Model of particle physics. Leaving aside the mysterious dark energy, which may or may not be just the cosmological constant, two properties of the Universe cannot be explained by the Standard Model: dark matter and matter-antimatter asymmetry. Dark matter particles may well be discovered in foreseeable future; this issue is under intense experimental investigation. Theoretical hypotheses on the nature of the dark matter particles are numerous, so we concentrate on several well motivated candidates, such as weakly interacting massive particles, axions and sterile neutrinos, and also give examples of less motivated and more elusive candidates such as fuzzy dark matter. This gives an idea of the spectrum of conceivable dark matter candidates, while certainly not exhausting it. We then consider the matter-antimatter asymmetry and discuss whether it may result from physics at 100 GeV–TeV scale. Finally, we turn to the earliest epoch of the cosmological evolution. Although the latter topic does not appear immediately related to contemporary particle physics, it is of great interest due to its fundamental nature. We emphasize that the cosmological data, notably, on cosmic microwave background anisotropies, unequivocally show that the well understood hot stage was not the earliest one. The best guess for the earlier stage is inflation, which is consistent with everything known to date; however, there are alternative scenarios. We discuss the ways to study the earliest epoch, with emphasis on future cosmological observations.V.A. Rubakovwork_uhpm2wevojacxcrdzjrxcc4tuyMon, 05 Sep 2022 00:00:00 GMTA Snowmass Whitepaper: Dark Matter Production at Intensity-Frontier Experiments
https://scholar.archive.org/work/dndo56f2w5h2zkhis2qfpdr5pm
Dark matter particles can be observably produced at intensity-frontier experiments, and opportunities in the next decade will explore important parameter space motivated by thermal DM models, the dark sector paradigm, and anomalies in data. This whitepaper describes the motivations, detection strategies, prospects and challenges for such searches, as well as synergies and complementarity both within RF6 and across HEP.G. Krnjaic, N. Toro, A. Berlin, B. Batell, N. Blinov, L. Darme, P. DeNiverville, P. Harris, C. Hearty, M. Hostert, K.J. Kelly, D. McKeen, S. Trojanowski, Y.-D. Tsaiwork_dndo56f2w5h2zkhis2qfpdr5pmMon, 05 Sep 2022 00:00:00 GMTFoundations for a theory of emergent quantum mechanics and emergent classical gravity
https://scholar.archive.org/work/ohbxkkugtbg37boyvqbn6df6fu
Quantum systems are viewed as emergent systems from the fundamental degrees of freedom. The laws and rules of quantum mechanics are understood as an effective description, valid for the emergent systems and specially useful to handle probabilistic predictions of observables. After introducing the geometric theory of Hamilton-Randers spaces and reformulating it using Hilbert space theory, a Hilbert space structure is constructed from the Hilbert space formulation of the underlying Hamilton-Randers model and associated with the space of wave functions of quantum mechanical systems. We can prove the emergence of the Born rule from ergodic considerations. A geometric mechanism for a natural spontaneous collapse of the quantum states based on the concentration of measure phenomena as it appears in metric geometry is discussed.We show the existence of stable vacua states for the quantized matter Hamiltonian. Another consequence of the concentration of measure is the emergence of a weak equivalence principle for one of the dynamics of the fundamental degrees of freedom. We suggest that the reduction of the quantum state is driven by a gravitational type interaction. Such interaction appears only in the dynamical domain when localization of quantum observables happens, it must be a classical interaction. We discuss the double slit experiment in the context of the framework proposed, the interference phenomena associated with a quantum system in an external gravitational potential, a mechanism explaining non-quantum locality and also provide an argument in favour of an emergent interpretation of every macroscopic time parameter. Entanglement is partially described in the context of Hamilton-Randers theory and how naturally Bell's inequalities should be violated.Ricardo Gallego Torroméwork_ohbxkkugtbg37boyvqbn6df6fuSun, 04 Sep 2022 00:00:00 GMTMuon Collider Forum Report
https://scholar.archive.org/work/5d4llcvnkfdz7ha7c5nvdf5dua
A multi-TeV muon collider offers a spectacular opportunity in the direct exploration of the energy frontier. Offering a combination of unprecedented energy collisions in a comparatively clean leptonic environment, a high energy muon collider has the unique potential to provide both precision measurements and the highest energy reach in one machine that cannot be paralleled by any currently available technology. The topic generated a lot of excitement in Snowmass meetings and continues to attract a large number of supporters, including many from the early career community. In light of this very strong interest within the US particle physics community, Snowmass Energy, Theory and Accelerator Frontiers created a cross-frontier Muon Collider Forum in November of 2020. The Forum has been meeting on a monthly basis and organized several topical workshops dedicated to physics, accelerator technology, and detector R&D. Findings of the Forum are summarized in this report.K.M. Black, S. Jindariani, D. Li, F. Maltoni, P. Meade, D. Stratakis, D. Acosta, R. Agarwal, K. Agashe, C. Aime, D. Ally, A. Apresyan, A. Apyan, P. Asadi, D. Athanasakos, Y. Bao, N. Bartosik, L.A.T. Bauerdick, J. Beacham, J. S. Berg, J. Berryhill, A. Bertolin, P.C. Bhat, M.E. Biagini, K. Bloom, T. Bose, A. Bross, E. Brost, N. Bruhwiler, L. Buonincontri, D. Buttazzo, V. Candelise, A. Canepa, L. Carpenter, M. Casarsa, C. Cesarotti, G. Chachamis, Z. Chacko, P. Chang, S.V. Chekanov, T.Y. Chen, M. Chiesa, T. Cohen, M. Costa, N. Craig, A. Crivellin, C. Curatolo, D. Curtin, G. Da Molin, S. Dasu, A. de Gouvea, D. Denisov, R. Dermisek, K.F. Di Petrillo, T. Dorigo, J. M. Duarte, V.D. Elvira, R. Essig, P. Everaerts, J. Fan, M. Felcini, G. Fiore, D. Fiorina, M. Forslund, R. Franceschini, M.V. Garzelli, C.E. Gerber, L. Giambastiani, D. Giove, S. Guiducci, T. Han, K. Hermanek, C. Herwig, J. Hirschauer, T. R. Holmes, S. Homiller, L.A. Horyn, A. Ivanov, B. Jayatilaka, H. Jia, C.K. Jung, Y. Kahn, D.M. Kaplan, M. Kaur, M. Kawale, P. Koppenburg, G. Krintiras, K. Krizka, B. Kuchma, L. Lee, L. Li, Q. Li, W. Li, R. Lipton, Z. Liu, S. Lomte, Q. Lu, D. Lucchesi, T. Luo, K. Lyu, Y. Ma, P. A. N. Machado, D.J. Mahon, A. Mazzacane, N. McGinnis, C. McLean, B. Mele, F. Meloni, S.C. Middleton, R.K. Mishra, N. Mokhov, A. Montella, M. Morandin, S. Nagaitsev, F. Nardi, M.S. Neubauer, D.V. Neuffer, H. Newman, R. Ogaz, I. Ojalvo, I. Oksuzian, T. Orimoto, B. Ozek, K. Pachal, S. Pagan Griso, P. Panci, V. Papadimitriou, N. Pastrone, K. Pedro, A. Perloff, D. Pinna, F. Piccinini, Marc-Andre Pleier, S. Posen, K. Potamianos, S. Rappoccio, M. Reece, L. Reina, A. Reinsvold Hall, C. Riccardi, L. Ristori, T. Robens, R. Ruiz, P. Sala, D. Schulte, L. Sestini, V. Shiltsev, P. Snopok, G. Stark, J. Stupak III, S .Su, R. Sundrum, M. Swiatlowski, M.J. Syphers, A. Taffard, W. Thompson, Y. Torun, C.G. Tully, I. Vai, M. Valente, U. van Rienen, R. van Weelderen, G. Velev, N. Venkatasubramanian, L. Vittorio, C. Vuosalo, X. Wang, H. Weber, R. Wu, Y. Wu, A. Wulzer, K. Xie, S. Xie, R. Yohay, F. Yu, A.V. Zlobin, J. Zuritawork_5d4llcvnkfdz7ha7c5nvdf5duaSat, 03 Sep 2022 00:00:00 GMTProjectivity in (bounded) integral residuated lattices
https://scholar.archive.org/work/ph75hawzvnau7dfh2wgajos53e
In this paper we study projective algebras in varieties of (bounded) commutative integral residuated lattices from an algebraic (as opposed to categorical) point of view. In particular we use a well-established construction in residuated lattices: the ordinal sum. Its interaction with divisibility makes our results have a better scope in varieties of divisibile commutative integral residuated lattices, and it allows us to show that many such varieties have the property that every finitely presented algebra is projective. In particular, we obtain results on (Stonean) Heyting algebras, certain varieties of hoops, and product algebras. Moreover, we study varieties with a Boolean retraction term, showing for instance that in a variety with a Boolean retraction term all finite Boolean algebras are projective. Finally, we connect our results with the theory of Unification.Paolo Aglianò, Sara Ugoliniwork_ph75hawzvnau7dfh2wgajos53eFri, 02 Sep 2022 00:00:00 GMTA Predictive and Testable Unified Theory of Fermion Masses, Mixing and Leptogenesis
https://scholar.archive.org/work/4hihg5ruifhexis67yox56neni
We consider a minimal non-supersymmetric SO(10) Grand Unified Theory (GUT) model that can reproduce the observed fermionic masses and mixing parameters of the Standard Model. We calculate the scales of spontaneous symmetry breaking from the GUT to the Standard Model gauge group using two-loop renormalisation group equations. This procedure determines the proton decay rate and the scale of U(1)_B-L breaking, which generates cosmic strings and the right-handed neutrino mass scales. Consequently, the regions of parameter space where thermal leptogenesis is viable are identified and correlated with the fermion masses and mixing, the neutrinoless double beta decay rate, the proton decay rate, and the gravitational wave signal resulting from the network of cosmic strings. We demonstrate that this framework, which can explain the Standard Model fermion masses and mixing and the observed baryon asymmetry, will be highly constrained by the next generation of gravitational wave detectors and neutrino oscillation experiments which will also constrain the proton lifetime.Bowen Fu, Stephen F. King, Luca Marsili, Silvia Pascoli, Jessica Turner, Ye-Ling Zhouwork_4hihg5ruifhexis67yox56neniWed, 31 Aug 2022 00:00:00 GMTA formalization of Dedekind domains and class groups of global fields
https://scholar.archive.org/work/hjhysf2rs5hydj3bxlwj44zpgu
Dedekind domains and their class groups are notions in commutative algebra that are essential in algebraic number theory. We formalized these structures and several fundamental properties, including number theoretic finiteness results for class groups, in the Lean prover as part of the mathlib mathematical library. This paper describes the formalization process, noting the idioms we found useful in our development and mathlib's decentralized collaboration processes involved in this project.Anne Baanen and Sander R. Dahmen and Ashvni Narayanan and Filippo A. E. Nucciowork_hjhysf2rs5hydj3bxlwj44zpguTue, 30 Aug 2022 00:00:00 GMTThe Asymptotically Safe Standard Model: From quantum gravity to dynamical chiral symmetry breaking
https://scholar.archive.org/work/yxgap2q34jbj3duub56pks2zme
We present a comprehensive non-perturbative study of the phase structure of the asymptotically safe Standard Model. The physics scales included range from the asymptotically safe trans-Planckian regime in the ultraviolet, the intermediate high-energy regime with electroweak symmetry breaking to strongly correlated QCD in the infrared. All flows are computed with a self-consistent functional renormalisation group approach, using a vertex expansion in the fluctuation fields. In particular, this approach takes care of all physical threshold effects and the respective decoupling of ultraviolet degrees of freedom. Standard Model and gravity couplings and masses are fixed by their experimental low energy values. Importantly, we accommodate for the difference between the top pole mass and its Euclidean analogue. Both, the correct mass determination and the threshold effects have a significant impact on the qualitative properties, and in particular on the stability properties of the specific ultraviolet-infrared trajectory with experimental Standard Model physics in the infrared. We show that in the present rather advanced approximation the matter part of the asymptotically safe Standard Model has the same number of relevant parameters as the Standard Model, and is asymptotically free. This result is based on the novel UV fixed point found in the present work: the fixed point Higgs potential is flat but has two relevant directions. These results and their analysis are accompanied by a thorough discussion of the systematic error of the present truncation, also important for systematic improvements.Álvaro Pastor-Gutiérrez, Jan M. Pawlowski, Manuel Reichertwork_yxgap2q34jbj3duub56pks2zmeMon, 29 Aug 2022 00:00:00 GMTCosmology from Strong Interactions
https://scholar.archive.org/work/f6gllt4gwreungkefh42gmtcta
The wealth of theoretical and phenomenological information about Quantum Chromodynamics at short and long distances collected so far in major collider measurements has profound implications in cosmology. We provide a brief discussion on the major implications of the strongly coupled dynamics of quarks and gluons as well as on effects due to their collective motion on the physics of the early universe and in astrophysics.Andrea Addazi, Torbjörn Lundberg, Antonino Marcianò, Roman Pasechnik, Michal Šumberawork_f6gllt4gwreungkefh42gmtctaMon, 29 Aug 2022 00:00:00 GMTOn the issue of magnetic monopoles in the prospect of UHE photon searches
https://scholar.archive.org/work/rv5ikmweevcklkyjxtxdvrg4bq
(also inside: this manuscript introduces the reader to the argument against the existence of magnetic monopoles, which forms an essential part of Staruszkiewicz's Quantum Mechanics of the Electric Charge) Ultra-high energy (UHE) photons with energies exceeding 10^18 can potentially be observed. They are produced in various processes involving electrically charged particles. However, more exotic scenarios are also possible. UHE photons could be emitted in encounters of massive magnetically charged monopole–antimonopole pairs or in processes associated with monopoles accelerated to high energies, typically 10^21 or beyond. Observing UHE photons can pose constraints on the properties of magnetic monopoles. There are compelling theoretical reasons in favor of the presence of magnetic monopoles in nature. The predicted observational signatures of these particles are therefore searched for in dedicated experiments currently in operation. Despite these attempts, magnetic monopoles have yet to be empirically proved. There are also theoretical reasons why magnetic monopoles allowed by Dirac's theory might not be realized in nature in the form of isolated particles. Detection or non-detection of UHE photon signatures of magnetic monopoles would bring us closer to solving this fascinating puzzle.Łukasz Bratek, Joanna Jałochawork_rv5ikmweevcklkyjxtxdvrg4bqThu, 18 Aug 2022 00:00:00 GMT