Gravitational Interaction

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Zhong-zhi Xianyu - One of the best experts on this subject based on the ideXlab platform.

  • higgs Gravitational Interaction weak boson scattering and higgs inflation in jordan and einstein frames
    arXiv: General Relativity and Quantum Cosmology, 2014
    Co-Authors: Jing Ren, Zhong-zhi Xianyu
    Abstract:

    We study Gravitational Interaction of Higgs boson through the unique dimension-4 operator $\xi H^†H R$, with $H$ the Higgs doublet and $R$ the Ricci scalar curvature. We analyze the effect of this dimensionless nonminimal coupling $\xi$ on weak gauge boson scattering in both Jordan and Einstein frames. We explicitly establish the longitudinal-Goldstone boson equivalence theorem with nonzero $\xi$ coupling in both frames, and analyze the unitarity constraints. We study the $\xi$-induced weak boson scattering cross sections at O(1-30)TeV scales, and propose to probe the Higgs-gravity coupling via weak boson scattering experiments at the LHC(14TeV) and the next generation pp colliders (50-100TeV). We further extend our study to Higgs inflation, and quantitatively derive the perturbative unitarity bounds via coupled channel analysis, under large field background at the inflation scale. We analyze the unitarity constraints on the parameter space in both the conventional Higgs inflation and the improved models in light of the recent BICEP2 data.

  • higgs Gravitational Interaction weak boson scattering and higgs inflation in jordan and einstein frames
    Journal of Cosmology and Astroparticle Physics, 2014
    Co-Authors: Jing Ren, Zhong-zhi Xianyu
    Abstract:

    We study Gravitational Interaction of Higgs boson through the unique dimension-4 operator xi(HHR)-H-dagger, with H the Higgs doublet and R the Ricci scalar curvature. We analyze the effect of this dimensionless nonminimal coupling xi on weak gauge boson scattering in both Jordan and Einstein frames. We explicitly establish the longitudinal-Goldstone equivalence theorem with nonzero xi coupling in both frames, and analyze the unitarity constraints. We study the xi-induced weak boson scattering cross sections at O(1 30) TeV scales, and propose to probe the Higgs-gravity coupling via weak boson scattering experiments at the LHC (14 TeV) and the next generation pp colliders (50 100 TeV). We further extend our study to Higgs inflation, and quantitatively derive the perturbative unitarity bounds via coupled channel analysis, under large field background at the inflation scale. We analyze the unitarity constraints on the parameter space in both the conventional Higgs inflation and the improved models in light of the recent BICEP2 data.

  • Gravitational Interaction of Higgs Boson and Weak Boson Scattering
    Physical Review D, 2013
    Co-Authors: Zhong-zhi Xianyu, Jing Ren
    Abstract:

    With the LHC discovery of a 125 GeV Higgs-like boson, we study the Gravitational Interaction of the Higgs boson via the unique dimension-four operator involving the Higgs doublet and scalar curvature, xi HyHR, with nonminimal coupling xi. This Higgs portal term can be transformed away in the Einstein frame and induces gauge-invariant effective Interactions in the Higgs sector. We study the weak boson scattering in the Einstein frame and explicitly demonstrate the longitudinal-Goldstone boson equivalence theorem in the presence of xi coupling. With these, we derive a perturbative unitarity bound on the Higgs Gravitational coupling xi in the Einstein frame, which is stronger than that inferred from the LHC Higgs measurements. We further study xi -dependent weak boson scattering cross sections at the TeV scale and propose a new LHC probe of Higgs-gravity coupling xi via weak boson scattering experiments.

Thibault Damour - One of the best experts on this subject based on the ideXlab platform.

  • four loop static contribution to the Gravitational Interaction potential of two point masses
    Physical Review D, 2017
    Co-Authors: Thibault Damour, P Jaranowski
    Abstract:

    We compute a subset of three, velocity-independent four-loop (and fourth post-Newtonian) contributions to the harmonic-coordinates effective action of a Gravitationally interacting system of two point-masses. We find that, after summing the three terms, the coefficient of the total contribution is rational, due to a remarkable cancellation between the various occurrences of $\pi^2$. This result, obtained by a classical field-theory calculation, corrects the recent effective-field-theory-based calculation by Foffa et al. [arXiv:1612.00482]. Besides showing the usefulness of the saddle-point approach to the evaluation of the effective action, and of x-space computations, our result brings a further confirmation of the current knowledge of the fourth post-Newtonian effective action. We also show how the use of the generalized Riesz formula [Phys. Rev. D 57, 7274 (1998)] allows one to analytically compute a certain four-loop scalar master integral (represented by a four-spoked wheel diagram) which was, so far, only numerically computed.

  • High-order post-Newtonian contributions to the two-body Gravitational Interaction potential from analytical Gravitational self-force calculations
    Physical Review D - Particles, Fields, Gravitation and Cosmology, 2014
    Co-Authors: Donato Bini, Thibault Damour
    Abstract:

    We extend the analytical determination of the main radial potential describing (within the effective one-body formalism) the Gravitational Interaction of two bodies beyond the 4th post-Newtonian approximation recently obtained by us. This extension is done to linear order in the mass ratio by applying analytical Gravitational self-force theory (for a particle in circular orbit around a Schwarzschild black hole) to Detweiler's gauge-invariant redshift variable. By using the version of black hole perturbation theory developed by Mano, Suzuki and Takasugi, we have pushed the analytical determination of the (linear in mass ratio) radial potential to the 6th post-Newtonian order (passing through 5 and 5.5 post-Newtonian terms). In principle, our analytical method can be extended to arbitrarily high post-Newtonian orders.

  • Analytic determination of the eight-and-a-half post-Newtonian self-force contributions to the two-body Gravitational Interaction potential
    Physical Review D - Particles, Fields, Gravitation and Cosmology, 2014
    Co-Authors: Donato Bini, Thibault Damour
    Abstract:

    We {\it analytically} compute, to the eight-and-a-half post-Newtonian order, and to linear order in the mass ratio, the radial potential describing (within the effective one-body formalism) the Gravitational Interaction of two bodies, thereby extending previous analytic results. These results are obtained by applying analytical Gravitational self-force theory (for a particle in circular orbit around a Schwarzschild black hole) to Detweiler's gauge-invariant redshift variable. We emphasize the increase in \lq\lq transcendentality" of the numbers entering the post-Newtonian expansion coefficients as the order increases, in particular we note the appearance of $\zeta(3)$ (as well as the square of Euler's constant γ) starting at the seventh post-Newtonian order. We study the convergence of the post-Newtonian expansion as the expansion parameter $u=GM/(c^2r)$ leaves the weak-field domain $u\ll 1$ to enter the strong field domain $u=O(1)$.

  • Analytical determination of the two-body Gravitational Interaction potential at the fourth post-Newtonian approximation
    Physical Review D - Particles, Fields, Gravitation and Cosmology, 2013
    Co-Authors: Donato Bini, Thibault Damour
    Abstract:

    We complete the analytical determination, at the 4th post-Newtonian approximation, of the main radial potential describing the Gravitational Interaction of two bodies within the effective one-body formalism. The (non logarithmic) coefficient a_5 (nu) measuring this 4th post-Newtonian Interaction potential is found to be linear in the symmetric mass ratio nu. Its nu-independent part a_5 (0) is obtained by an analytical Gravitational self-force calculation that unambiguously resolves the formal infrared divergencies which currently impede its direct post-Newtonian calculation. Its nu-linear part a_5 (nu) - a_5 (0) is deduced from recent results of Jaranowski and Sch\"afer, and is found to be significantly negative.

  • dimensional regularization of the Gravitational Interaction of point masses in the adm formalism
    arXiv: General Relativity and Quantum Cosmology, 2008
    Co-Authors: Thibault Damour, P Jaranowski, Gerhard Schafer
    Abstract:

    The ADM formalism for two-point-mass systems in $d$ space dimensions is sketched. It is pointed out that the regularization ambiguities of the 3rd post-Newtonian ADM Hamiltonian considered directly in $d=3$ space dimensions can be cured by dimensional continuation (to complex $d$'s), which leads to a finite and unique Hamiltonian as $d\to3$. Some so far unpublished details of the dimensional-continuation computation of the 3rd post-Newtonian two-point-mass ADM Hamiltonian are presented.

Jing Ren - One of the best experts on this subject based on the ideXlab platform.

  • higgs Gravitational Interaction weak boson scattering and higgs inflation in jordan and einstein frames
    arXiv: General Relativity and Quantum Cosmology, 2014
    Co-Authors: Jing Ren, Zhong-zhi Xianyu
    Abstract:

    We study Gravitational Interaction of Higgs boson through the unique dimension-4 operator $\xi H^†H R$, with $H$ the Higgs doublet and $R$ the Ricci scalar curvature. We analyze the effect of this dimensionless nonminimal coupling $\xi$ on weak gauge boson scattering in both Jordan and Einstein frames. We explicitly establish the longitudinal-Goldstone boson equivalence theorem with nonzero $\xi$ coupling in both frames, and analyze the unitarity constraints. We study the $\xi$-induced weak boson scattering cross sections at O(1-30)TeV scales, and propose to probe the Higgs-gravity coupling via weak boson scattering experiments at the LHC(14TeV) and the next generation pp colliders (50-100TeV). We further extend our study to Higgs inflation, and quantitatively derive the perturbative unitarity bounds via coupled channel analysis, under large field background at the inflation scale. We analyze the unitarity constraints on the parameter space in both the conventional Higgs inflation and the improved models in light of the recent BICEP2 data.

  • higgs Gravitational Interaction weak boson scattering and higgs inflation in jordan and einstein frames
    Journal of Cosmology and Astroparticle Physics, 2014
    Co-Authors: Jing Ren, Zhong-zhi Xianyu
    Abstract:

    We study Gravitational Interaction of Higgs boson through the unique dimension-4 operator xi(HHR)-H-dagger, with H the Higgs doublet and R the Ricci scalar curvature. We analyze the effect of this dimensionless nonminimal coupling xi on weak gauge boson scattering in both Jordan and Einstein frames. We explicitly establish the longitudinal-Goldstone equivalence theorem with nonzero xi coupling in both frames, and analyze the unitarity constraints. We study the xi-induced weak boson scattering cross sections at O(1 30) TeV scales, and propose to probe the Higgs-gravity coupling via weak boson scattering experiments at the LHC (14 TeV) and the next generation pp colliders (50 100 TeV). We further extend our study to Higgs inflation, and quantitatively derive the perturbative unitarity bounds via coupled channel analysis, under large field background at the inflation scale. We analyze the unitarity constraints on the parameter space in both the conventional Higgs inflation and the improved models in light of the recent BICEP2 data.

  • Gravitational Interaction of Higgs Boson and Weak Boson Scattering
    Physical Review D, 2013
    Co-Authors: Zhong-zhi Xianyu, Jing Ren
    Abstract:

    With the LHC discovery of a 125 GeV Higgs-like boson, we study the Gravitational Interaction of the Higgs boson via the unique dimension-four operator involving the Higgs doublet and scalar curvature, xi HyHR, with nonminimal coupling xi. This Higgs portal term can be transformed away in the Einstein frame and induces gauge-invariant effective Interactions in the Higgs sector. We study the weak boson scattering in the Einstein frame and explicitly demonstrate the longitudinal-Goldstone boson equivalence theorem in the presence of xi coupling. With these, we derive a perturbative unitarity bound on the Higgs Gravitational coupling xi in the Einstein frame, which is stronger than that inferred from the LHC Higgs measurements. We further study xi -dependent weak boson scattering cross sections at the TeV scale and propose a new LHC probe of Higgs-gravity coupling xi via weak boson scattering experiments.

G J Milburn - One of the best experts on this subject based on the ideXlab platform.

  • a classical channel model for Gravitational decoherence
    New Journal of Physics, 2014
    Co-Authors: Dvir Kafri, Jacob M Taylor, G J Milburn
    Abstract:

    We show that, by treating the Gravitational Interaction between two mechanical resonators as a classical measurement channel, a Gravitational decoherence model results that is equivalent to a model first proposed by Diosi. The resulting decoherence model implies that the classically mediated Gravitational Interaction between two Gravitationally coupled resonators cannot create entanglement. The Gravitational decoherence rate (and the complementary heating rate) is of the order of the Gravitationally induced normal mode splitting of the two resonators. Failure to see this in an experiment would rule out treating Gravitational Interactions as purely classical.

  • a classical channel model for Gravitational decoherence
    arXiv: Quantum Physics, 2014
    Co-Authors: Dvir Kafri, Jacob M Taylor, G J Milburn
    Abstract:

    We show that, by treating the Gravitational Interaction between two mechanical resonators as a classical measurement channel, a Gravitational decoherence model results that is equivalent to a model first proposed by Diosi. The resulting decoherence model implies that the classically mediated Gravitational Interaction between two Gravitationally coupled resonators cannot create entanglement. The Gravitational decoherence rate ( and the complementary heating rate) is of the order of the Gravitationally induced normal mode splitting of the two resonators.

B Vollmer - One of the best experts on this subject based on the ideXlab platform.

  • ngc 4654 Gravitational Interaction or ram pressure stripping
    Astronomy and Astrophysics, 2003
    Co-Authors: B Vollmer
    Abstract:

    The Virgo cluster spiral galaxy NGC 4654 is supposed to be a good candidate for ongoing ram pressure stripping based on its very asymmetric Hi distribution. However, this galaxy also shows an asymmetric stellar distribution. Numerical simulations using ram pressure as the only perturbation can produce a tail structure of the gas content, but cannot account for its kinematical structure. It is shown that a strong edge-on stripping event can produce an asymmetric stellar distribution up to 800 Myr after the stripping event, i.e. the galaxy's closest passage to the cluster center. Simulations using a Gravitational Interaction with the companion galaxy NGC 4639 can account for the asymmetric stellar distribution of NGC 4654, but cannot reproduce the observed extended gas tail. Only a mixed Interaction, Gravitational and ram pressure, can reproduce all observed properties of NGC 4654. It is concluded that NGC 4654 had a tidal Interaction ∼500 Myr ago and is continuing to experience ram pressure until the present day.

  • ngc 4654 Gravitational Interaction or ram pressure stripping
    arXiv: Astrophysics, 2002
    Co-Authors: B Vollmer
    Abstract:

    The Virgo cluster spiral galaxy NGC 4654 is supposed to be a good candidate for ongoing ram pressure stripping based on its very asymmetric HI distribution. However, this galaxy also shows an asymmetric stellar distribution. Numerical simulations using ram pressure as the only perturbation can produce a tail structure of the gas content, but cannot account for its kinematical structure. It is shown that a strong edge-on stripping event can produce an asymmetric stellar distribution up to 800 Myr after the stripping event, i.e. the galaxy's closest passage to the cluster center. Simulations using a Gravitational Interaction with the companion galaxy NGC 4639 can account for the asymmetric stellar distribution of NGC 4654, but cannot reproduce the observed extended gas tail. Only a mixed Interaction, Gravitational and ram pressure, can reproduce all observed properties of NGC 4654. It is concluded that NGC 4654 had a tidal Interaction ~500 Myr ago and is continuing to experience ram pressure.