springer proceedings in physics 98 springer proceedings in physics
74 Time-Resolved Vibrational Spectroscopy 86 Computer Simulation Studies VI in Condensed-Matter Physics XIII Editors: A. Lau, F.Siebert, and W.Werncke Editors: D.P. Landau, S.P. Lewis, and H.-B. Schuttler¨ 75 Computer Simulation Studies in Condensed-Matter Physics V 87 Proceedings Editors: D.P. Landau, K.K. Mon, of the 25th International Conference and H.-B. Schuttler¨ on the Physics of Semiconductors Editors: N. Miura and T. Ando 76 Computer Simulation Studies in Condensed-Matter Physics VI 88 Starburst Galaxies Editors: D.P. Landau, K.K. Mon, Near and Far and H.-B. Schuttler¨ Editors: L. Tacconi and D. Lutz 77 Quantum Optics VI 89 Computer Simulation Studies Editors: D.F. Walls and J.D. Harvey in Condensed-Matter Physics XIV Editors: D.P. Landau, S.P. Lewis, 78 Computer Simulation Studies and H.-B. Schuttler¨ in Condensed-Matter Physics VII Editors: D.P. Landau, K.K. Mon, 90 Computer Simulation Studies and H.-B. Schuttler¨ in Condensed-Matter Physics XV Editors: D.P. Landau, S.P. Lewis, 79 Nonlinear Dynamics and H.-B. Schuttler¨ and Pattern Formation in Semiconductors and Devices 91 The Dense Interstellar Medium Editor: F.-J. Niedernostheide in Galaxies Editors: S. Pfalzner, C. Kramer, 80 Computer Simulation Studies C. Straubmeier, and A. Heithausen in Condensed-Matter Physics VIII Editors: D.P. Landau, K.K. Mon, 92 Beyond the Standard Model 2003 and H.-B. Schuttler¨ Editor: H.V. Klapdor-Kleingrothaus 81 Materials and Measurements 93 ISSMGE in Molecular Electronics Experimental Studies Editors: K. Kajimura and S. Kuroda Editor: T. Schanz 82 Computer Simulation Studies 94 ISSMGE in Condensed-Matter Physics IX Numerical and Theoretical Approaches Editors: D.P. Landau, K.K. Mon, Editor: T. Schanz and H.-B. Schuttler¨ 95 Computer Simulation Studies 83 Computer Simulation Studies in Condensed-Matter Physics XVI in Condensed-Matter Physics X Editors: D.P. Landau, S.P. Lewis, Editors: D.P. Landau, K.K. Mon, and H.-B. Schuttler¨ and H.-B. Schuttler¨ 96 Electromagnetics in a Complex World 84 Computer Simulation Studies Editors: I.M. Pinto, V. Galdi, in Condensed-Matter Physics XI and L.B. Felsen Editors: D.P. Landau and H.-B. Schuttler¨ 97 Fields, Networks and Computations 85 Computer Simulation Studies AModernViewofElectrodynamics in Condensed-Matter Physics XII Editor: P. Russer Editors: D.P. Landau, S.P. Lewis, and H.-B. Schuttler¨ 98 Particle Physics and the Universe Proceedings of the 9th Adriatic Meeting, Sept. 2003, Dubrovnik Editors: J. Trampetic´ and J. Wess Homepage: springeronline.com
Volumes 46–73 are listed at the end of the book. J. Trampetic´ J.Wess(Eds.) Particle Physics and the Universe
Proceedings of the 9th Adriatic Meeting, Sept. 2003, Dubrovnik
123 Professor Josip Trampetic´ Professor Julius Wess Rudjer Boskovic Institute Sektion Physik Theoretical Physics Division der Ludwig-Maximilians-Universitat¨ P.O.Box 180 Theresienstr. 37 10 002 Zagreb 80333 Munchen¨ Croatia and Max-Planck-Institut fur¨ Physik (Werner-Heisenberg-Institut) Fohringer¨ Ring 6 80805 Munchen¨ Germany
ISSN 0930-8989 ISBN 3-540-22803-9 Springer Berlin Heidelberg New York
Library of Congress Control Number: 2004109784 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproductiononmicrofilmorinanyotherway,andstorageindatabanks.Duplicationofthispublicationor partsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springeronline.com © Springer-Verlag Berlin Heidelberg 2005 Printed in Germany The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover concept: eStudio Calamar Steinen Cover production: design & production GmbH, Heidelberg Printed on acid-free paper 62/3141/ts 543210 For Prof. Dubravko Tadi´c 31 October 1934–6 March 2003 VI
Dubravko Tadi´c was born in Zagreb, Croatia, and graduated from the University of Zagreb with his B.Sc. in 1958. He completed his Ph.D. in 1961, during the time of Vladimir Glaser and Borivoj Jakˇsi´cunder the supervision of Gaja Alaga. His thesis dealt with nuclear beta decay and the structure of the weak interaction, interests which he continued to pursue thereafter as a member of the Rudjer Boˇskovi´c Institute and later at the University of Zagreb. He was a leader of a theory research group at the Rudjer Boˇskovi´c Institute, and later became head of the theory division of the Faculty of Sciences (PMF-Zagreb) at the University of Zagreb. He was honored for his many contributions to physics by being elected as an extraordinary member of the Yugoslav Academy of Sciences and Arts in 1981, and as a full member of the Croatian Academy of Sciences and Arts in 1991. Professor Tadi´cwas well known in international circles, having spent time in Birmingham while Rudolf Peierels was present, and later at Brookhaven National Laboratory. We met while Dubravko was at Brookhaven and we started a lifelong collaboration and friendship. Among our papers was the first major review of parity-violating nuclear interactions, which incorporated the then newly-developed techniques of current algebra to study models of the weak Hamiltonian. Dubravko maintained a lifelong interest in nuclear physics, but moved later in his career into elementary particle physics, particularly weak inter- actions and quark models. His research was characterized by deep insight and clarity of thought along with great attention to detail. By example he served as a role model for a generation of younger physicists including the Ph.D. students he supervised in Zagreb which include B. Eman, B. Guberina, H. Gali´c, I. Picek, J. Trampeti´c, P. Coli´c, D. Horvat, A. Ilakovac, Z. Naranˇci´c, S. Zganec,ˇ G. Omanovi´c, and B. Podobnik. Along with his students and other collaborators he authored or coauthored 127 publications in scientific journals whose impact on physics will be felt for many years to come. Dubravko had a broad range of interests outside of physics which included military history and the history of Croatia. He was an avid hiker and enjoyed entertaining his visitors on hikes with details of local history. Although serious when working, he had a wonderful sense of humor when relaxing with family and friends. It is appropriate that we remember Dubravko Tadi´cin these Proceedings because he was one of the prime organizers of the Adriatic meetings, and other international events which have served to showcase the work of students and younger researchers in the Central European region. He will be deeply missed not only by his family and his lovely wife Gordana, but by the whole physics community.
Ephraim Fischbach West Lafayette, Indiana, April 2004 Preface
The Adriatic Meetings have traditionally been conferences on the most ad- vanced status of science. They are one of the very few conferences in physics aiming at a very broad participation of young and experienced researchers with different backgrounds in particle physics. Particle physics has grown into a highly multi-faceted discipline over the sixty years of its existence, mainly because of two reasons: Particle physics as an experimental science is in need of large-scale laboratory set-ups, involving typically collaborations of several hundreds or even thousands of researchers and technicians with the most diverse expertise. This forces particle physics, being one of the most fundamental disci- plines of physics, to maintain a constant interchange and contact with other disciplines, notably solid-state physics and laser physics, cosmology and as- trophysics, mathematical physics and mathematics. Since the expertise necessary in doing research in particle physics has become tremendously demanding in the last years, the field tends to organize purely expert conferences, meetings and summer schools, such as for detector development, for astroparticle physics or for string theory. The Adriatic Meeting through its entire history has been a place for estab- lishing exchange between theory and experiment. The 9th Adriatic Meeting successfully continued this tradition and even intensified the cross-discipline communication by establishing new contacts between the community of cos- mologists and of particle physicists. The exchange between theorists and ex- perimentalists was impressively intensive and will certainly have a lasting effect on several research projects of the European and world-wide physics community. As the title of the conference suggests, cosmology and astroparticle physics and their relation to particle physics was one of the main topics of the con- ference. The reason for this choice is the overwhelming quality of the results obtained in cosmology throughout the recent years. Another reason for intensifying the contact with cosmology is that the lab- oratory experiments at the Large Hadron Collider (LHC) in CERN are due to come into operation only in about four to five years from now. These ex- periments are expected to deliver for the first time sound data about physics beyond the Standard Model. It is quite unclear when or even whether there VIII Preface will be experiments going beyond the LHC energy scale, simply because of the large financial and organizational problems for building such projects. Therefore particle physics may be forced to look elsewhere for potential tests of its models, and extraterrestrial sources are the only conceivable alternative. On the theoretical side, the currently intensively discussed topic of Lorentz symmetry violation was presented as a potential window into quantum grav- ity phenomenology. It was emphasized how stringently current astrophysical results already constrain potential extensions of the Standard Model. Neutrino physics was discussed as a newly discovered hot topic during the 8th Adriatic Meeting. It has now firmly established its results obtained two years ago. There is a common goal underlying theoretical research in particle physics– a unified description of all forces in Nature. Part of the research effort in this direction is known as Grand Unified Theories. A crucial question in theoretical physics is the unification of quantum field theory (as the basis of the Standard Model) and the theory of general relativity (as the basis for the theory of gravity). The most prominent candi- date for achieving this unification of two quite differently structured theories is string theory. String field theory is an attempt to use quantum field the- ory tools for solving string theory. The real excitement in the last two years came from the theoretical proposal that our 3+1 dimensional world might be a cosmic defect (brane-world) within higher-dimensional spacetime, with Standard Model fields and gravity localized on such a brane. This proposal also exhibits an exponential hierarchy of the Planck mass scale, an induced de Sitter metric on the brane and a phenomenologically acceptable value of the cosmological constant. The concept of noncommutative spacetime has a long history, both in mathematics and physics, but recently it attracted a lot of attention since it was shown that noncommutativity provides an effective description of physics of strings in an external background field. The research of the last few years provides a solid mathematical basis for constructing gauge field theories on noncommutative spacetime. The Standard Model of electroweak and strong interactions has been in place for nearly thirty years, but experimental tests of these theories today have reached a level of precision that permits glimpses of physics beyond this impressive structure. Such glimpses appear to be largely associated with the yet-to-be discovered Higgs boson. A crucial theoretical input for any such prediction are precision calculations in the theoretical models, even more, precision calculations enter into the design of the experimental setup itself. Experiments in the K and B sectors (mixings etc.) of meson physics are achieving an impressive accuracy as well today and could yield cracks in the Standard Model at any time. Theoretical predictions were presented for possible new physics in this sector. Preface IX
The weak and rare heavy quark decays together with CP violation are studied through the energy, forward-backward and CP asymmetries by using methods like pQCD, QCD sum rules, relativistic quark models, QCD on the lattice, etc. We would like to thank young members of the Theory Division of the Rudjer Boˇskovi´cInstitute for their help during the Conference: A. Babi´c, G. Duplanˇci´c, D. Jurman and K. Passek-Kumeriˇcki. We would especially like to thank: L. Jonke, H. Nikoli´candH.Stefanˇˇ ci´c for a substantial help during the organization of the Conference. We would also like to thank L. Jonke for preparing this book of Proceedings.
Zagreb, Josip Trampeti´c August 2004 Julius Wess Contents
Part I Neutrinos, Astroparticle Physics, Cosmology and Gravity
The Neutrino Mass Matrix – From A4 to Z3 Ernest Ma ...... 3
Neutrinos – Inner Properties and Role as Astrophysical Messengers Georg G. Raffelt ...... 15
Lepton Flavor Violation in the SUSY Seesaw Model: An Update Frank Deppisch, Heinrich P¨as, Andreas Redelbach, Reinhold R¨uckl .... 27
Sterile Neutrino Dark Matter in the Galaxy Neven Bili´c, Gary B. Tupper, Raoul D. Viollier ...... 39
Supernovae and Dark Energy Ariel Goobar ...... 47
Semiclassical Cosmology with Running Cosmological Constant Joan Sol`a ...... 59
Limits on New Inverse-Power Law Forces Dennis E. Krause, Ephraim Fischbach ...... 73
Quantum Gravity Phenomenology and Lorentz Violation Ted Jacobson, Stefano Liberati, David Mattingly ...... 83
On the Quantum Width of a Black Hole Horizon Donald Marolf ...... 99
The Internal Structure of Black Holes Igor D. Novikov ...... 113
Microscopic Interpretation of Black Hole Entropy Maro Cvitan, Silvio Pallua, Predrag Prester ...... 125 XII Contents
Dark Matter Experiments at Boulby Mine Vitaly A. Kudryavtsev ...... 139
Ultra High Energy Cosmic Rays and the Pierre Auger Observatory Danilo Zavrtanik, Darko Veberiˇc;for the AUGER Collaboration ...... 145
Self-Accelerated Universe Boris P. Kosyakov ...... 155 Charge and Isospin Fluctuations in High Energy pp-Collisions Mladen Martinis, Vesna Mikuta-Martinis ...... 163
Superluminal Pions in the Linear Sigma Model Hrvoje Nikoli´c ...... 169
Part II Strings, Branes, Noncommutative Field Theories and Grand Unification
Comments on Noncommutative Field Theories Luis Alvarez-Gaum´e,Miguel´ A. V´azquez-Mozo ...... 175
Seiberg-Witten Maps and Anomalies in Noncommutative Yang-Mills Theories Friedemann Brandt...... 189
Renormalisation Group Approach to Noncommutative Quantum Field Theory Harald Grosse, Raimar Wulkenhaar ...... 197
Noncommutative Gauge Theories via Seiberg-Witten Map Branislav Jurˇco ...... 209
The Noncommutative Standard Model and Forbidden Decays Peter Schupp, Josip Trampeti´c ...... 219
The Dressed Sliver in VSFT Loriano Bonora, Carlo Maccaferri, Predrag Prester...... 233
M5-Branes and Matrix Theory Martin Cederwall, Henric Larsson ...... 243
Brane Gravity Merab Gogberashvili ...... 251
Stringy de Sitter Brane-Worlds Tristan H¨ubsch ...... 261 Contents XIII
Finite Unified Theories and the Higgs Mass Prediction Abdelhak Djouadi, Sven Heinemeyer, Myriam Mondrag´on, George Zoupanos ...... 273
Non-Commutative GUTs, Standard Model and C, P, T Properties from Seiberg-Witten Map Paolo Aschieri ...... 285
Noncommutative Gauge Theory on the q-Deformed Euclidean Plane Frank Meyer, Harold Steinacker ...... 293
A Multispecies Calogero Model Marijan Milekovi´c, Stjepan Meljanac, Andjelo Samsarov ...... 299
Divergencies in Noncommutative SU(2) Yang-Mills Theory Voja Radovanovi´c, Maja Buri´c ...... 303
Gauge Theory on the Fuzzy Sphere and Random Matrices Harold Steinacker ...... 307
Part III Standard Model – Theory and Experiment
Waiting for Clear Signals of New Physics in B and K Decays Andrzej J. Buras ...... 315
Electron-Positron Linear Collider Klaus Desch ...... 333
New Source of CP Violation in B Physics? Nilendra G. Deshpande and Dilip Kumar Ghosh ...... 345
LHC Physics Fabiola Gianotti ...... 359 Precision Calculations in the MSSM Wolfgang Hollik ...... 373
Theoretical Aspects of Heavy Flavour Physics Thomas Mannel ...... 387
Hard Exclusive Processes and Higher-Order QCD Corrections Kornelija Passek-Kumeriˇcki ...... 399
Strings in the Yang-Mills Theory: How They Form, Live and Decay Adi Armoni, Mikhail Shifman ...... 415 XIV Contents
Constraining New Physics from the Muon Decay Astrid Bauer ...... 431
Jets in Deep Inelastic Scattering and High Energy Photoproduction at HERA Gerd W. Buschhorn ...... 435
CP Violation from Orbifold: From Examples to Unification Structures Nicolas Cosme ...... 447
Doubly Projected Functions in Out of Equilibrium Thermal Field Theories Ivan Dadi´c ...... 451
0 → + − Nonfactorizable Contributions in B Ds Ds 0 → + − and Bs D D Decays Jan O. Eeg, Svjetlana Fajfer, Aksel Hiorth ...... 457
On the Geometry of Gauge Field Theories Helmuth H¨uffel, Gerald Kelnhofer ...... 461
On the Singlet Penguin in B → Kη Decay Jan Olav Eeg, KreˇsimirKumeriˇcki, Ivica Picek ...... 465
Bjorken-Like Limit versus Fermi-Watson Approximation in High Energy Hadron Diffraction Andrzej R. Malecki ...... 469
Some Aspects of Radiative Corrections and Non-Decoupling Effects of Heavy Higgs Bosons in Two Higgs Doublet Model Michal Malinsk´y ...... 473
Towards a NNLO Calculation in Hadronic Heavy Hadron Production J¨urgen G. K¨orner, Zakaria Merebashvili, Mikhail Rogal ...... 477 Jet Physics at CDF Sally Seidel ...... 481
About the Meeting ...... 487
List of Participants ...... 489 Part I
Neutrinos, Astroparticle Physics, Cosmology and Gravity The Neutrino Mass Matrix – From A4 to Z3
Ernest Ma
Physics Department, University of California, Riverside, California 92521
1 Introduction
After the new experimental results of KamLAND [1] on top of those of SNO [2] and SuperKamiokande [3], etc. [4], we now have very good knowledge of 5 parameters: 2 × −3 2 ∆matm 2.5 10 eV , (1) 2 × −5 2 ∆msol 6.9 10 eV , (2) 2 sin 2θatm 1 , (3) 2 tan θsol 0.46 , (4)
|Ue3| < 0.16 . (5)
The last 3 numbers tell us that the neutrino mixing matrix is rather well- known, and to a very good first approximation, it is given by ⎛ ⎞ ⎛ ⎞ ⎛ ⎞ − νe c√ √s 0√ ν1 ⎝ ⎠ ⎝ − ⎠ ⎝ ⎠ νµ = s/√2 c/√2 1/√ 2 ν2 , (6) ντ s/ 2 c/ 21/ 2 ν3
2 where sin 2θatm =1andUe3 = 0 have been assumed, with s ≡ sin θsol, c ≡ cos θsol.
2 Approximate Generic Form of the Neutrino Mass Matrix
Assuming three Majorana neutrino mass eigenstates with real eigenvalues m1,2,3, the neutrino mass matrix in the basis (νe,νµ,ντ ) is then of the form [5] ⎛ ⎞ a +2b +2cd d ⎝ ⎠ Mν = dba+ b . (7) da+ bb
Note that Mν is invariant under the discrete Z2 symmetry: νe → νe, νµ ↔ ντ . Depending on the relative magnitudes of the 4 parameters a, b, c, d,this 4 Ernest Ma matrix has 7 possible limits: 3 have the normal hierarchy, 2 have the inverted hierarchy, and 2 have 3 nearly degenerate masses. In neutrinoless double beta decay, the effective mass is m0 = |a+2b+2c|. In the 2 cases of inverted hierarchy, we have 2 m0 ∆m 0.05 eV , (8) atm 2 m0 cos 2θsol ∆matm , (9) respectively for m1/m2 = ±1, i.e. for their relative CP being even or odd. In the 2 degenerate cases,
m0 |m1,2,3| , (10)
m0 cos 2θsol|m1,2,3| . (11)
With Mν of (7), Ue3 is zero necessarily, in which case there can be no CP violation in neutrino oscillations. However, suppose we consider instead [5, 6] ⎛ ⎞ a +2b +2cd d∗ ⎝ ⎠ Mν = dba+ b , (12) d∗ a + bb where d is now complex, then the Z2 symmetry of (7) is broken and Ue3 becomes nonzero. In fact, it is proportional to iImd, thus predicting maximal CP violation in neutrino oscillations.
3 Nearly Degenerate Majorana Neutrino Masses
Suppose that at some high energy scale, the charged lepton mass matrix and the Majorana neutrino mass matrix are such that after diagonalizing the former, i.e. ⎛ ⎞ me 00 ⎝ ⎠ Ml = 0 mµ 0 , (13) 00mτ the latter is of the form ⎛ ⎞ m0 00 ⎝ ⎠ Mν = 00m0 . (14) 0 m0 0
From the high scale to the electroweak scale, one-loop radiative corrections will change Mν as follows: M → M M M T ( ν )ij ( ν )ij + Rik( ν )kj +( ν )ikRkj , (15) The Neutrino Mass Matrix – From A4 to Z3 5 where the radiative correction matrix is assumed to be of the most general form, i.e. ⎛ ⎞ ree reµ reτ ⎝ ∗ ⎠ R = reµ rµµ rµτ . (16) ∗ ∗ reτ rµτ rττ Thus the observed neutrino mass matrix is given by ⎛ ⎞ ∗ ∗ 1+2ree reτ + reµ reµ + reτ ⎝ ∗ ⎠ Mν = m0 reµ + reτ 2rµτ 1+rµµ + rττ . (17) ∗ ∗ reτ + reµ 1+rµµ + rττ 2rµτ
Let us rephase νµ and ντ to make rµτ real, then the above Mν is exactly in the form of (12), with of course a as the dominant term. In other words, we have obtained a desirable description of all present data on neutrino oscillations including CP violation, starting from almost nothing.
4 Plato’s Fire
The successful derivation of (17) depends on having (13) and (14). To be sensible theoretically, they should be maintained by a symmetry. At first sight, it appears impossible that there can be a symmetry which allows them to coexist. The solution turns out to be the non-Abelian discrete symmetry A4 [7, 8]. What is A4 and why is it special? Around the year 390 BCE, the Greek mathematician Theaetetus proved that there are five and only five perfect geometric solids. The Greeks already knew that there are four basic elements: fire, air, water, and earth. Plato could not resist matching them to the five perfect geometric solids and for that to work, he invented the fifth element, i.e. quintessence, which is supposed to hold the cosmos together. His assignments are shown in Table 1.
Table 1. Properties of Perfect Geometric Solids
Solid Faces Vertices Plato Group
tetrahedron 4 4 fire A4 octahedron 8 6 air S4 icosahedron 20 12 water A5 hexahedron 6 8 earth S4 dodecahedron 12 20 ? A5
The group theory of these solids was established in the early 19th century. Since a cube (hexahedron) can be imbedded perfectly inside an octahedron and the latter inside the former, they have the same symmetry group. The 6 Ernest Ma same holds for the icosahedron and dodecahedron. The tetrahedron (Plato’s “fire”) is special because it is self-dual. It has the symmetry group A4, i.e. the finite group of the even permutation of 4 objects. The reason that it is special for the neutrino mass matrix is because it has three inequivalent one- dimensional irreducible representations and one three-dimensional irreducible representation exactly. Its character table is given below.
Table 2. Character Table of A4
Class n h χ1 χ2 χ3 χ4
C1 11 1 1 1 3 2 C2 43 1 ωω 0 2 C3 43 1 ω ω 0 C4 32 1 1 1 −1
In the above, n is the number of elements, h is the order of each element, and ω =e2πi/3 (18) is the cube root of unity. The group multiplication rule is
3 × 3 =1+1 +1 +3+3. (19)
5 Details of the A4 Model