Collider signals of gravitational fixed points

Recent studies have shown that the poor perturbative behavior of General Relativity in the ultraviolet regime may be ameliorated by the existence of a non-Gaussian fixed point which renders the theory asymptotically safe and possibly non-perturbatively renormalizable. This results in a running of the (effective) gravitational coupling such that gravity becomes weaker at high energies. We parameterize this effective coupling with a form factor and study its consequences at the LHC and ILC in models with large extra dimensions or warped extra dimensions. We find significant effects in the processes of Kaluza-Klein (KK) graviton exchange or resonant KK graviton production in both the Drell-Yan reaction as well as in e+e−→f. On the otherhand, processes leading to KK graviton emission show qualitatively less sensitivity to the presence of a form factor. In addition, we examine tree-level perturbative unitarity in 2→2 gravity-mediated scattering and find that this form factor produces a far better behaved amplitude at large center of mass energies.

[1]  G. J. Olmo Post-Newtonian constraints on f(R) cosmologies in metric formalism , 2005, gr-qc/0505136.

[2]  D. Litim,et al.  Fixed points of quantum gravity in higher dimensions , 2006, hep-th/0606135.

[3]  Michael E. Peskin,et al.  Collider signatures of new large space dimensions , 1999 .

[4]  P. Renton,et al.  A Combination of Preliminary Electroweak Measurements and Constraints on the Standard Model , 2001, hep-ex/0511027.

[5]  Fixed points of quantum gravity in extra dimensions , 2006, hep-th/0602203.

[6]  An invitation to loop quantum gravity , 2004, hep-th/0408048.

[7]  P. Mannheim,et al.  Exact vacuum solution to conformal Weyl gravity and galactic rotation curves , 1989 .

[8]  Mark Trodden,et al.  Cosmology of generalized modified gravity models , 2005 .

[9]  R. Feynman,et al.  Feynman Lectures On Gravitation , 1995 .

[10]  D. Yennie,et al.  The infrared divergence phenomena and high-energy processes , 1961 .

[11]  B. Ward Planck Scale Remnants in Resummed Quantum Gravity , 2006, hep-ph/0605054.

[12]  J. Barrow,et al.  Further exact cosmological solutions to higher-order gravity theories , 2006, gr-qc/0601118.

[13]  C. Hoyle,et al.  Particle-physics implications of a recent test of the gravitational inverse-square law. , 2006, Physical review letters.

[14]  Asymptotic Safety in Quantum Einstein Gravity: Nonperturbative Renormalizability and Fractal Spacetime Structure , 2005, hep-th/0511260.

[15]  M. Reuter,et al.  Ultraviolet fixed point and generalized flow equation of quantum gravity , 2001 .

[16]  A. Upadhye,et al.  Constraints on Exotic Interactions from a Recent Test of the Gravitational Inverse Square Law , 2006 .

[17]  S. Dimopoulos,et al.  THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS NEW DIMENSIONS AT A MILLIMETER TO A FERMI AND SUPERSTRINGS AT A TeV , 2005 .

[18]  Anupam Mazumdar,et al.  Bouncing universes in string-inspired gravity , 2005, hep-th/0508194.

[19]  Predictive Power of Strong Coupling in Theories with Large Distance Modified Gravity , 2006, hep-th/0610013.

[20]  Brane cosmology with curvature corrections , 2003, hep-th/0307138.

[21]  D. Mota,et al.  Cosmological constraints on f(R) gravity theories within the Palatini approach , 2005, astro-ph/0510519.

[22]  T. Rizzo More and More Indirect Signals for Extra Dimensions at More and More Colliders , 1999, hep-ph/9901209.

[23]  D. Litim Optimized renormalization group flows , 2001, hep-th/0103195.

[24]  D. Litim Optimisation of the exact renormalisation group , 2000, hep-th/0005245.

[25]  D. Litim Fixed points of quantum gravity , 2003, hep-th/0312114.

[26]  A. Dolgov,et al.  Can modified gravity explain accelerated cosmic expansion , 2003, astro-ph/0307285.

[27]  S. D. Odintsov,et al.  INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY , 2006, hep-th/0601213.

[28]  B R Greene,et al.  String theory. , 1994, Proceedings of the National Academy of Sciences of the United States of America.

[29]  TESLA Technical Design Report Part III: Physics at an e+e- Linear Collider , 2001, hep-ph/0106315.

[30]  M. Reuter,et al.  Is quantum Einstein gravity nonperturbatively renormalizable , 2002 .

[31]  Rizzo,et al.  Phenomenology of the randall-sundrum gauge hierarchy model , 2000, Physical review letters.

[32]  L. Randall,et al.  A Large mass hierarchy from a small extra dimension , 1999, hep-ph/9905221.

[33]  T. Riemann,et al.  Physics at the CLIC multi-TeV linear collider , 2004, hep-ph/0412251.

[34]  K. V. Acoleyen,et al.  Consistent long distance modification of gravity from inverse powers of the curvature , 2005, gr-qc/0511045.

[35]  F. Saueressig,et al.  Renormalization group flow of quantum gravity in the Einstein-Hilbert truncation , 2002 .

[36]  R. Feynman Quantum theory of gravitation , 1963 .

[37]  M. Reuter,et al.  Flow equation of quantum Einstein gravity in a higher derivative truncation , 2002 .

[38]  Renormalization group running of Newton's constant G : The static isotropic case , 2006, hep-th/0607228.

[39]  B. Ward Towards Exact Quantum Loop Results in the Theory of General Relativity : Status and Update , 2008, 0810.0721.

[40]  Alfio Bonanno,et al.  Spacetime structure of an evaporating black hole in quantum gravity , 2006 .

[41]  S. Bethke Experimental tests of asymptotic freedom , 1996, hep-ex/9609014.

[42]  Marc-Thierry Jaekel,et al.  GRAVITY TESTS IN THE SOLAR SYSTEM AND THE PIONEER ANOMALY , 2004 .

[43]  Roberto Percacci,et al.  Fixed points of higher-derivative gravity. , 2006, Physical review letters.

[44]  Mark Trodden,et al.  Is Cosmic Speed-Up Due to New Gravitational Physics? , 2003, astro-ph/0306438.

[45]  1/R gravity and scalar-tensor gravity , 2003, astro-ph/0307338.

[46]  TOPICAL REVIEW: The asymptotic safety scenario in quantum gravity: an introduction , 2006, gr-qc/0610018.

[47]  I. Navarro,et al.  Modified gravity, dark energy and modified Newtonian dynamics , 2006 .

[48]  I. Hinchliffe,et al.  RESEARCH NOTES FROM COLLABORATIONS: Signals of models with large extra dimensions in ATLAS , 2001 .

[49]  S. Dimopoulos,et al.  Non-Local Modification of Gravity and the Cosmological Constant Problem , 2002, hep-th/0209227.

[50]  Antony J. Wilson,et al.  GridPP: development of the UK computing Grid for particle physics , 2005 .

[51]  S. Nojiri,et al.  Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday , 2004, hep-th/0409177.

[52]  Dark energy in modified Gauss-Bonnet gravity: Late-time acceleration and the hierarchy problem , 2005, hep-th/0601008.

[53]  Indirect collider signals for extra dimensions , 1998, hep-ph/9811356.

[54]  S. Nojiri,et al.  Modified gravity with negative and positive powers of the curvature: Unification of the inflation and of the cosmic acceleration , 2003, hep-th/0307288.

[55]  Letter: The Force of Gravity from a Lagrangian Containing Inverse Powers of the Ricci Scalar , 2003, astro-ph/0308114.

[56]  Savas Dimopoulos,et al.  The Hierarchy problem and new dimensions at a millimeter , 1998, hep-ph/9803315.

[57]  W. Yao,et al.  Review of Particle Physics (2006) , 2006 .

[58]  S. Capozziello,et al.  Parametrized post-Newtonian limit of fourth order gravity inspired by scalar-tensor gravity , 2005, astro-ph/0507545.

[59]  S. Capozziello Newtonian limit of Extended Theories of Gravity , 2004, gr-qc/0412088.

[60]  Savas Dimopoulos,et al.  Phenomenology, astrophysics and cosmology of theories with submillimeter dimensions and TeV scale quantum gravity , 1998, hep-ph/9807344.

[61]  Probing composite gravity in colliders , 2005, hep-ph/0511082.

[62]  James D. Wells,et al.  Quantum Gravity and Extra Dimensions at High-Energy Colliders , 1998, hep-ph/9811291.

[63]  PARTICLE PHYSICS PROBES OF EXTRA SPACETIME DIMENSIONS , 2002, hep-ph/0205106.

[64]  C D Hoyle,et al.  Tests of the gravitational inverse-square law below the dark-energy length scale. , 2007, Physical review letters.