Changes between Version 4 and Version 5 of Models/SpinTwo

Timestamp:

Feb 9, 2011, 6:19:14 PM (14 years ago)

Author:

Priscila de Aquino

Comment:

--

Models/SpinTwo

@@ -9 +9 @@
 == ADD theory ==
 
-Theory with D = 4 + d dimensions, in which d is spatial and compactified in a sphere of radius R. Because only spin-2 particles can propagate through D dimensions, a massive KK tower of spin-2 particles appear. They can interact with the SM fields with a very weak coupling constant given by -1/L:
+Theory with D = 4 + d dimensions, with additional d spatial dimensions assumed to be compactified to be a torus with common radius R. Because only spin-2 particles can propagate through D dimensions, a massive KK tower of spin-2 particles appear in 4 dimensions. They can interact with the SM fields with a very weak coupling constant given by -1/L:
 
-L = M,,pl,, ~ 2.4 x 10^18^ GeV
+L = \overline{M,,pl,,} ~ 2.4 x 10^18^ GeV
 
-The mass gap between neighbouring modes is proportional to 1/R, hence small for d not too large. The discrete mass spectrum can be approximated by a continuum with a  integrated density of states. In other words, the 4 dimensional spin-2 appears as a infinite sum of its excited states.
-
-__'''Conclusion'''__: Weak interaction between spin-2 and SM particles.
+The mass gap between neighbouring modes is proportional to 1/R, hence small for d not too large. The discrete mass spectrum can be approximated by a continuum with an  integrated density of states. In other words, the 4 dimensional spin-2 particles appears as a infinite sum of its excited states.
 
 __'''Consequence'''__: Spin-2 should not decay fast, so it is expected to be seem as missing energy @ hadron colliders.
 
-__'''In !MadGraph/MadEvent'''__: This model is called ''ADD'' and you can ask for processes with graviton emission using for example this [https://cp3.irmp.ucl.ac.be/projects/madgraph/attachment/wiki/Models/SpinTwo/ADD_proc_card.dat proc_card.dat], and this [https://cp3.irmp.ucl.ac.be/projects/madgraph/attachment/wiki/Models/SpinTwo/ADD_param_card.dat param_card.dat].
+__'''In !MadGraph/MadEvent'''__: This model is called ''ADD'' and you can ask for processes using for example this [https://cp3.irmp.ucl.ac.be/projects/madgraph/attachment/wiki/Models/SpinTwo/ADD_proc_card.dat proc_card.dat], and this [https://cp3.irmp.ucl.ac.be/projects/madgraph/attachment/wiki/Models/SpinTwo/ADD_param_card.dat param_card.dat].
 
 
@@ -30 +28 @@
 == RS theory ==
 
-Theory with D = 4 + 1 dimensions, in which the extra dimension is spatial and compactified in a sphere of radius R. Here, the total space-time has a warped metric and the size of the extra dimension  can be at the order of the Planck length. Again, only spin-2 particles can propagate through 5 dimensions, therefore, a massive KK tower of spin-2 particles appear. They can interact with the SM fields with a strong coupling constant given by -1/L:
+Theory with D = 4 + 1 dimensions, in which the extra dimension is spatial and assumed to be compactified to be a torus with radius R. Here, the total space-time has a warped metric and the size of the extra dimension  can be at the order of the Planck length. Again, only spin-2 particles can propagate through 5 dimensions, therefore, a massive KK tower of spin-2 particles appear in 4 dimensions. They can interact with the SM fields with a strong coupling constant given by -1/L:
 
-L = M,,pl,, e^kR\pi^
+L = \overline{M,,pl,,} e^kR\pi^
 
 where k is a scale of order of the Planck scale. In this model, the mass of the nth spin-2 particle is given by:
@@ -40 +38 @@
 which can be ~ O(1 TeV), at the LHC reach.
 
-__'''Conclusion'''__: Strong interaction between spin-2 and SM particles.
 
 __'''Consequence'''__: Spin-2 should decay very fast and it is expected to be seem as a resonance @ hadron colliders (e.g., it decays into a pair of leptons).
 
-__'''In !MadGraph/MadEvent'''__: This model is called ''RS'' and you can ask for processes with graviton emission using for example this [https://cp3.irmp.ucl.ac.be/projects/madgraph/attachment/wiki/Models/SpinTwo/RS_proc_card.dat proc_card.dat], and this [https://cp3.irmp.ucl.ac.be/projects/madgraph/attachment/wiki/Models/SpinTwo/RS_param_card.dat param_card.dat].
+__'''In !MadGraph/MadEvent'''__: This model is called ''RS'' and you can ask for processes using for example this [https://cp3.irmp.ucl.ac.be/projects/madgraph/attachment/wiki/Models/SpinTwo/RS_proc_card.dat proc_card.dat], and this [https://cp3.irmp.ucl.ac.be/projects/madgraph/attachment/wiki/Models/SpinTwo/RS_param_card.dat param_card.dat].
 
 * Model references:
@@ -58 +55 @@
 The graviton is massless in this class of theories and its coupling to the SM particles is given by -1/L:
 
-L = M,,pl,,(\mu*) = \mu* ~ 1 TeV. 
+L = \overline{M,,pl,,}(\mu*) = \mu* ~ 1 TeV. 
 
-Notice M,,pl,, now depends on the effective energy scale.
-
-__'''Conclusion'''__:  Weak interaction between spin-2 and SM particles.
+Notice \overline{M,,pl,,} now depends on the effective energy scale.
 
 __'''Consequence'''__: Spin-2 should not decay fast, so it is expected to be seem as missing energy @ hadron colliders.
 
-__'''In !MadGraph/MadEvent'''__: This model is called ''massless_grav'' and you can ask for processes with graviton emission using for example this [https://cp3.irmp.ucl.ac.be/projects/madgraph/attachment/wiki/Models/SpinTwo/MGM_proc_card.dat proc_card.dat], and this [https://cp3.irmp.ucl.ac.be/projects/madgraph/attachment/wiki/Models/SpinTwo/MGM_param_card.dat param_card.dat].
+__'''In !MadGraph/MadEvent'''__: This model is called ''massless_grav'' and you can ask for processes using for example this [https://cp3.irmp.ucl.ac.be/projects/madgraph/attachment/wiki/Models/SpinTwo/MGM_proc_card.dat proc_card.dat], and this [https://cp3.irmp.ucl.ac.be/projects/madgraph/attachment/wiki/Models/SpinTwo/MGM_param_card.dat param_card.dat].
 
 * Model references: