Particles Meet Cosmology and Strings in Boston
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The Pev-Scale Split Supersymmetry from Higgs Mass and Electroweak Vacuum Stability
The PeV-Scale Split Supersymmetry from Higgs Mass and Electroweak Vacuum Stability Waqas Ahmed ? 1, Adeel Mansha ? 2, Tianjun Li ? ~ 3, Shabbar Raza ∗ 4, Joydeep Roy ? 5, Fang-Zhou Xu ? 6, ? CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, P. R. China ~School of Physical Sciences, University of Chinese Academy of Sciences, No. 19A Yuquan Road, Beijing 100049, P. R. China ∗ Department of Physics, Federal Urdu University of Arts, Science and Technology, Karachi 75300, Pakistan Institute of Modern Physics, Tsinghua University, Beijing 100084, China Abstract The null results of the LHC searches have put strong bounds on new physics scenario such as supersymmetry (SUSY). With the latest values of top quark mass and strong coupling, we study the upper bounds on the sfermion masses in Split-SUSY from the observed Higgs boson mass and electroweak (EW) vacuum stability. To be consistent with the observed Higgs mass, we find that the largest value of supersymmetry breaking 3 1:5 scales MS for tan β = 2 and tan β = 4 are O(10 TeV) and O(10 TeV) respectively, thus putting an upper bound on the sfermion masses around 103 TeV. In addition, the Higgs quartic coupling becomes negative at much lower scale than the Standard Model (SM), and we extract the upper bound of O(104 TeV) on the sfermion masses from EW vacuum stability. Therefore, we obtain the PeV-Scale Split-SUSY. The key point is the extra contributions to the Renormalization Group Equation (RGE) running from arXiv:1901.05278v1 [hep-ph] 16 Jan 2019 the couplings among Higgs boson, Higgsinos, and gauginos. -
Supergravity and Its Legacy Prelude and the Play
Supergravity and its Legacy Prelude and the Play Sergio FERRARA (CERN – LNF INFN) Celebrating Supegravity at 40 CERN, June 24 2016 S. Ferrara - CERN, 2016 1 Supergravity as carved on the Iconic Wall at the «Simons Center for Geometry and Physics», Stony Brook S. Ferrara - CERN, 2016 2 Prelude S. Ferrara - CERN, 2016 3 In the early 1970s I was a staff member at the Frascati National Laboratories of CNEN (then the National Nuclear Energy Agency), and with my colleagues Aurelio Grillo and Giorgio Parisi we were investigating, under the leadership of Raoul Gatto (later Professor at the University of Geneva) the consequences of the application of “Conformal Invariance” to Quantum Field Theory (QFT), stimulated by the ongoing Experiments at SLAC where an unexpected Bjorken Scaling was observed in inclusive electron- proton Cross sections, which was suggesting a larger space-time symmetry in processes dominated by short distance physics. In parallel with Alexander Polyakov, at the time in the Soviet Union, we formulated in those days Conformal invariant Operator Product Expansions (OPE) and proposed the “Conformal Bootstrap” as a non-perturbative approach to QFT. S. Ferrara - CERN, 2016 4 Conformal Invariance, OPEs and Conformal Bootstrap has become again a fashionable subject in recent times, because of the introduction of efficient new methods to solve the “Bootstrap Equations” (Riccardo Rattazzi, Slava Rychkov, Erik Tonni, Alessandro Vichi), and mostly because of their role in the AdS/CFT correspondence. The latter, pioneered by Juan Maldacena, Edward Witten, Steve Gubser, Igor Klebanov and Polyakov, can be regarded, to some extent, as one of the great legacies of higher dimensional Supergravity. -
The Cosmos - Before the Big Bang
From issue 2601 of New Scientist magazine, 28 April 2007, page 28-33 The cosmos - before the big bang How did the universe begin? The question is as old as humanity. Sure, we know that something like the big bang happened, but the theory doesn't explain some of the most important bits: why it happened, what the conditions were at the time, and other imponderables. Many cosmologists think our standard picture of how the universe came to be is woefully incomplete or even plain wrong, and they have been dreaming up a host of strange alternatives to explain how we got here. For the first time, they are trying to pin down the initial conditions of the big bang. In particular, they want to solve the long-standing mystery of how the universe could have begun in such a well- ordered state, as fundamental physics implies, when it seems utter chaos should have reigned. Several models have emerged that propose intriguing answers to this question. One says the universe began as a dense sea of black holes. Another says the big bang was sparked by a collision between two membranes floating in higher-dimensional space. Yet another says our universe was originally ripped from a larger entity, and that in turn countless baby universes will be born from the wreckage of ours. Crucially, each scenario makes unique and testable predictions; observations coming online in the next few years should help us to decide which, if any, is correct. Not that modelling the origin of the universe is anything new. -
3+1 Formalism and Bases of Numerical Relativity
3+1 Formalism and Bases of Numerical Relativity Lecture notes Eric´ Gourgoulhon Laboratoire Univers et Th´eories, UMR 8102 du C.N.R.S., Observatoire de Paris, Universit´eParis 7 arXiv:gr-qc/0703035v1 6 Mar 2007 F-92195 Meudon Cedex, France [email protected] 6 March 2007 2 Contents 1 Introduction 11 2 Geometry of hypersurfaces 15 2.1 Introduction.................................... 15 2.2 Frameworkandnotations . .... 15 2.2.1 Spacetimeandtensorfields . 15 2.2.2 Scalar products and metric duality . ...... 16 2.2.3 Curvaturetensor ............................... 18 2.3 Hypersurfaceembeddedinspacetime . ........ 19 2.3.1 Definition .................................... 19 2.3.2 Normalvector ................................. 21 2.3.3 Intrinsiccurvature . 22 2.3.4 Extrinsiccurvature. 23 2.3.5 Examples: surfaces embedded in the Euclidean space R3 .......... 24 2.4 Spacelikehypersurface . ...... 28 2.4.1 Theorthogonalprojector . 29 2.4.2 Relation between K and n ......................... 31 ∇ 2.4.3 Links between the and D connections. .. .. .. .. .. 32 ∇ 2.5 Gauss-Codazzirelations . ...... 34 2.5.1 Gaussrelation ................................. 34 2.5.2 Codazzirelation ............................... 36 3 Geometry of foliations 39 3.1 Introduction.................................... 39 3.2 Globally hyperbolic spacetimes and foliations . ............. 39 3.2.1 Globally hyperbolic spacetimes . ...... 39 3.2.2 Definition of a foliation . 40 3.3 Foliationkinematics .. .. .. .. .. .. .. .. ..... 41 3.3.1 Lapsefunction ................................. 41 3.3.2 Normal evolution vector . 42 3.3.3 Eulerianobservers ............................. 42 3.3.4 Gradients of n and m ............................. 44 3.3.5 Evolution of the 3-metric . 45 4 CONTENTS 3.3.6 Evolution of the orthogonal projector . ....... 46 3.4 Last part of the 3+1 decomposition of the Riemann tensor . -
Gravity Waves and Proton Decay in a Flipped SU(5) Hybrid Inflation Model
PHYSICAL REVIEW D 97, 123522 (2018) Gravity waves and proton decay in a flipped SU(5) hybrid inflation model † ‡ Mansoor Ur Rehman,1,* Qaisar Shafi,2, and Umer Zubair2, 1Department of Physics, Quaid-i-Azam University, Islamabad 45320, Pakistan 2Bartol Research Institute, Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA (Received 10 April 2018; published 14 June 2018) We revisit supersymmetric hybrid inflation in the context of the flipped SUð5Þ model. With minimal superpotential and minimal Kähler potential, and soft supersymmetry (SUSY) masses of order (1–100) TeV, compatibility with the Planck data yields a symmetry breaking scale M of flipped SUð5Þ close to ð2–4Þ × 1015 GeV. This disagrees with the lower limit M ≳ 7 × 1015 GeV set from proton decay searches by the Super-Kamiokande collaboration. We show how M close to the unification scale 2 × 1016 GeV can be reconciled with SUSY hybrid inflation by employing a nonminimal Kähler potential. Proton decays into eþπ0 with an estimated lifetime of order 1036 years. The tensor to scalar ratio r in this case can approach observable values ∼10−4–10−3. DOI: 10.1103/PhysRevD.97.123522 I. INTRODUCTION flipped SUð5Þ gauge group see [9] where each of two hybrid fields is shown to realize inflation. For no-scale The supersymmetric (SUSY) hybrid inflation model 5 – SUSY flipped SUð Þ models of inflation see [10,11]. [1 5] has attracted a fair amount of attention due to its 5 ≡ 5 1 The flipped SUð Þ SUð Þ × Uð ÞX model [12,13] simplicity and elegance in realizing the grand unified exhibits many remarkable features and constitutes an attrac- theory (GUT) models of inflation [5]. -
Grand Unification and Proton Decay
Grand Unification and Proton Decay Borut Bajc J. Stefan Institute, 1000 Ljubljana, Slovenia 0 Reminder This is written for a series of 4 lectures at ICTP Summer School 2011. The choice of topics and the references are biased. This is not a review on the sub- ject or a correct historical overview. The quotations I mention are incomplete and chosen merely for further reading. There are some good books and reviews on the market. Among others I would mention [1, 2, 3, 4]. 1 Introduction to grand unification Let us first remember some of the shortcomings of the SM: • too many gauge couplings The (MS)SM has 3 gauge interactions described by the corresponding carriers a i Gµ (a = 1 ::: 8) ;Wµ (i = 1 ::: 3) ;Bµ (1) • too many representations It has 5 different matter representations (with a total of 15 Weyl fermions) for each generation Q ; L ; uc ; dc ; ec (2) • too many different Yukawa couplings It has also three types of Ng × Ng (Ng is the number of generations, at the moment believed to be 3) Yukawa matrices 1 c c ∗ c ∗ LY = u YU QH + d YDQH + e YELH + h:c: (3) This notation is highly symbolic. It means actually cT αa b cT αa ∗ cT a ∗ uαkiσ2 (YU )kl Ql abH +dαkiσ2 (YD)kl Ql Ha +ek iσ2 (YE)kl Ll Ha (4) where we denoted by a; b = 1; 2 the SU(2)L indices, by α; β = 1 ::: 3 the SU(3)C indices, by k; l = 1;:::Ng the generation indices, and where iσ2 provides Lorentz invariants between two spinors. -
M-Theory Solutions and Intersecting D-Brane Systems
M-Theory Solutions and Intersecting D-Brane Systems A Thesis Submitted to the College of Graduate Studies and Research in Partial Fulfillment of the Requirements for the degree of Doctor of Philosophy in the Department of Physics and Engineering Physics University of Saskatchewan Saskatoon By Rahim Oraji ©Rahim Oraji, December/2011. All rights reserved. Permission to Use In presenting this thesis in partial fulfilment of the requirements for a Postgrad- uate degree from the University of Saskatchewan, I agree that the Libraries of this University may make it freely available for inspection. I further agree that permission for copying of this thesis in any manner, in whole or in part, for scholarly purposes may be granted by the professor or professors who supervised my thesis work or, in their absence, by the Head of the Department or the Dean of the College in which my thesis work was done. It is understood that any copying or publication or use of this thesis or parts thereof for financial gain shall not be allowed without my written permission. It is also understood that due recognition shall be given to me and to the University of Saskatchewan in any scholarly use which may be made of any material in my thesis. Requests for permission to copy or to make other use of material in this thesis in whole or part should be addressed to: Head of the Department of Physics and Engineering Physics 116 Science Place University of Saskatchewan Saskatoon, Saskatchewan Canada S7N 5E2 i Abstract It is believed that fundamental M-theory in the low-energy limit can be described effectively by D=11 supergravity. -
Born-Infeld Action, Supersymmetry and String Theory
Imperial/TP/98-99/67 hep-th/9908105 Born-Infeld action, supersymmetry and string theory ⋆ A.A. Tseytlin † Theoretical Physics Group, Blackett Laboratory, Imperial College, London SW7 2BZ, U.K. Abstract We review and elaborate on some aspects of Born-Infeld action and its supersymmetric generalizations in connection with string theory. Contents: BI action from string theory; some properties of bosonic D = 4 BI action; = 1 and = 2 supersymmetric BI actions with manifest linear D = 4 supersymmetry; four-derivativeN N terms in = 4 supersymmetric BI action; BI actions with ‘deformed’ supersymmetry from D-braneN actions; non-abelian generalization of BI action; derivative corrections to BI action in open superstring theory. arXiv:hep-th/9908105v5 11 Dec 1999 To appear in the Yuri Golfand memorial volume, ed. M. Shifman, World Scientific (2000) August 1999 ⋆ e-mail address: [email protected] † Also at Lebedev Physics Institute, Moscow. 1. Introduction It is a pleasure for me to contribute to Yuri Golfand’s memorial volume. I met Yuri several times during his occasional visits of Lebedev Institute in the 80’s. Two of our discussions in 1985 I remember quite vividly. Golfand found appealing the interpretation of string theory as a theory of ‘quantized coordinates’, viewing it as a generalization of some old ideas of noncommuting coordinates. In what should be an early spring of 1985 he read our JETP Letter [1] which was a brief Russian version of our approach with Fradkin [2] to string theory effective action based on representation of generating functional for string amplitudes as Polyakov string path integral with a covariant 2-d sigma model in the exponent. -
Here Is a Printer Friendly Source
13 December 2018 Dear Participants: It is my honor to welcome you to the 15th topical physics conference in the “Miami” series --- a meeting that continues a sixth decade of physics conferences held in south Florida. This year’s meeting is dedicated to the memory of Peter Freund. Peter was a good friend to me and many others at this meeting. He was a frequent participant and he gave strong support for these conferences. Moreover, the current particle theory group at the University of Miami was created in the late 1980s largely due to Peter’s enthusiastic endorsement. Before the current series began in December 2004, the “Coral Gables conferences” were organized by University of Miami faculty from January 1964 to December 2003, often assisted by many faculty from other institutions including many of the organizers of this meeting. In particular, Sydney Meshkov has helped to organize and has attended almost all of these meetings since they began over 50 years ago. His participation again this year continues this remarkable tradition. It is also traditional for these meetings to try to accommodate most if not all requests to speak without having parallel sessions. Once again that will be the case, and once again this year the conference program and other useful information will not be printed and distributed in a binder. This information will only be available, in its entirety, online. See https://cgc.physics.miami.edu/Miami2018.html If you must have a printed copy of the entire program, as well as the other useful information, here is a printer friendly source, https://cgc.physics.miami.edu/2018ConferenceBooklet.pdf If you have any special requirements for your talk, or if you have any questions that the hotel staff cannot answer, please ask any attending local member of the organizing committee, in particular, Jo Ann Curtright (cell phone number 786-200-1480), Thomas Curtright (cell phone number 305-793-4637), as well as Diego Castano, and Stephan Mintz. -
Richard Arnowitt, Bhaskar Dutta Texas A&M University Dark Matter And
Dark Matter and Supersymmetry Models Richard Arnowitt, Bhaskar Dutta Texas A&M University 1 Outline . Understand dark matter in the context of particle physics models . Consider models with grand unification motivated by string theory . Check the cosmological connections of these well motivated models at direct, indirect detection and collider experiments 2 Dark Matter: Thermal Production of thermal non-relativistic DM: 1 Dark Matter content: ~ DM v m freeze out T ~ DM f 20 3 m/T 26 cm v 310 Y becomes constant for T>T s f 2 a ~O(10-2) with m ~ O(100) GeV Assuming : v ~ c c f 2 leads to the correct relic abundance m 3 Anatomy of sann Co-annihilation Process ~ 0 1 Griest, Seckel ’91 2 ΔM M~ M ~0 1 1 + ~ ΔM / kT f 1 e Arnowitt, Dutta, Santoso, Nucl.Phys. B606 (2001) 59, A near degeneracy occurs naturally for light stau in mSUGRA. 4 Models 5 mSUGRA Parameter space Focus point Resonance Narrow blue line is the dark matter allowed region Coannihilation Region 1.3 TeV squark bound from the LHC Arnowitt, Dutta, Santoso, Phys.Rev. D64 (2001) 113010 , Arnowitt, Dutta, Hu, Santoso, Phys.Lett. B505 (2001) 177 6 mSUGRA Parameter space Arnowitt, ICHEP’00, Arnowitt, Dutta, Santoso, Nucl.Phys. B606 (2001) 59, 7 Small DM at the LHC (or l+l-, t+t) High PT jet [mass difference is large] DM The pT of jets and leptons depend on the sparticle masses which are given by Colored particles are models produced and they decay finally to the weakly interacting stable particle DM R-parity conserving (or l+l-, t+t) High PT jet The signal : jets + leptons+ t’s +W’s+Z’s+H’s + missing ET 8 Small DM via cascade Typical decay chain and final states at the LHC g~ Jets + t’s+ missing energy ~ u uL Low energy taus characterize s the small mass gap e s s a However, one needs to measure M the model parameters to Y S predict the dark matter 0 u U ~ χ content in this scenario S 2 Arnowitt, Dutta, Kamon, Kolev, Toback 0 ~ ~ 1 Phys.Lett. -
Dyson, Feynman, Schwinger, and Tomonaga
QED and the Men Who Made It: Dyson, Feynman, Schwinger, and Tomonaga Silvan S. Schweber Princeton University Press Princeton, New Jersey Copyright ©1994 by Princeton University Press Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press, Chichester, West Sussex All Rights Reserved Library of Congress Cataloging-in-Publication Data Schweber, S. S. (Silvan S.) QED and the men who made it : Dyson, Feynman, Schwinger, and Tomonaga / Silvan S. Schweber. p. cm. - (Princeton series in physics) Includes bibliographical references and index. ISBN 0-691-03685-3; (pbk) 0-691-03327-7 1. Quantum electrodynamics—History. 2. Physicists—Biography. I. Title. II. Series. QC680.S34 1944 93-33550 537.6'7'09—<lc20 This book has been composed in TIMES ROMAN and KABEL Princeton University Press books are printed on acid-free paper, and meet the guidelines for permanence and durability of the Committee on Production Guidelines for Book Longevity of the Council on Library Resources Printed in the United States of America 10 9 8 7 ISBN-13: 978-0-691-03327-3 ISBN-10: 0-691-03327-7 QED and the Men Who Made It PRINCETON SERIES IN PHYSICS Edited by Philip W. Anderson, Arthur S. Wightman, and Sam B. Treiman (published since 1976) Studies in Mathematical Physics: Essays in Honor of Valentine Bargmann edited by Elliott H. Lieb, B. Simon, and A. S. Wightman Convexity in the Theory of Lattice Gasses by Robert B. Israel Works on the Foundations of Statistical Physics by N. S. Krylov Surprises in Theoretical Physics by Rudolf Peierls The Large-Scale Structure of the Universe by P. -
2003-2004Annualreport 001.Pdf
1 TABLE OF CONTENTS I. FORWARD..........................................................................................................................3 II. ORGANIZATION ...............................................................................................................3 A. Staff................................................................................................................................3 B. Departmental Committees for 2003-2004 .....................................................................3 III. FACULTY ...........................................................................................................................5 A. Areas of Specialization ..................................................................................................5 B. Honors and Awards........................................................................................................5 C. Grants and Gifts (awarded 2003-2004)..........................................................................5 D. Proposal Submissions (2003-2004) ...............................................................................6 E. Publications....................................................................................................................7 F. Talks Presented and Meetings Attended........................................................................8 G. Community Service .......................................................................................................9 IV. ACADEMIC ENRICHMENT & SUPPORT