Changes between Version 8 and Version 9 of MUED
- Timestamp:
- Nov 10, 2010, 10:09:49 AM (14 years ago)
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MUED
v8 v9 9 9 === Description of the model & references === 10 10 11 One popular ap roach to solve the Hierarchy Problem of the Standard Model is to extend space-time to higher dimensions. In this framework, the usual four-dimensional space-time is contained in a four-dimensional brane embedded in a large structure with N additional dimensions, the bulk.11 One popular approach to solve the Hierarchy Problem of the Standard Model is to extend space-time to higher dimensions. In this framework, the usual four-dimensional space-time is contained in a four-dimensional brane embedded in a large structure with N additional dimensions, the bulk. 12 12 13 Here, we shall focus on the Universal Extra Dimensional theory, in which the usual Standard Model particles are free to propagate in the bulk. As a consequence, these particles will be seem on the effective theory as a tower of N 4-dimensional particles with the same quantum numbers, but with increasing masses. This is called the Kaluza-Klein tower. Momentum conservation in the 5-dimensional space-time generates a conserved Kaluza-Klein number, which implies that different Kaluza-Klein modes can not mix with each other.13 Here, we shall focus on the Universal Extra Dimensional theory, in which the usual Standard Model particles are free to propagate in the bulk. As a consequence, these particles will be seem on the effective theory as a tower of N 4-dimensional particles with the same quantum numbers, but with increasing masses. This is called the Kaluza-Klein tower. Momentum conservation in the 5-dimensional space-time generates a conserved Kaluza-Klein number, which implies that different Kaluza-Klein modes can not mix with each other. 14 14 15 In this implementation, a theory with five dimensions is considered, in which the fifth dimension is spatial and compactified on a S1/Z2 orbifold of radius R. We start from the most general five-dimensional Lagrangian. FeynRules derives the four-dimensional lagrangian automatically by imposing dimensional reduction and integrati g out the extra-coordinate y.15 In this implementation, a theory with five dimensions is considered, in which the fifth dimension is spatial and compactified on a S1/Z2 orbifold of radius R. We start from the most general five-dimensional Lagrangian. FeynRules derives the four-dimensional lagrangian automatically by imposing dimensional reduction and integrating out the extra-coordinate y. 16 16 17 17 The minimal Universal extra dimensional model is given in: … … 47 47 In order to validate our implementation, we have checked 118 processes using a center-of-mass energy of 1400 GeV. It was done the following way: 48 48 * '''Comparison of the built-in Madgraph Standard-Model and FeynRules generated''' '''Madgraph''' '''MUED for Standard Model''' '''processes.''' This comparison was done using squared matrix element at given phase-space points. 49 * '''Comparison of the existing''' '''CalcHEP''' '''MUED (CH-ST) with the FeynRules generated ones in''' '''CalcHEP''' *,*'''Madgraph''' '''and Sherpa: CH-FR, MG-FR and SH-FR,''' through the calculation of several '''2-to-2''' cross-sections. All the checks performed were conclusive.49 * '''Comparison of the existing''' '''CalcHEP''' '''MUED (CH-ST) with the FeynRules generated ones in''' '''CalcHEP''', '''Madgraph''' '''and Sherpa: CH-FR, MG-FR and SH-FR,''' through the calculation of several '''2-to-2''' cross-sections. All the checks performed were conclusive. 50 50 51 * Validation Table - SM + Fermions (Cross sections given in pb): ValidationMUED.jpg51 * Validation Table - SM + Fermions (Cross sections given in pb): [/attachment/wiki/MUED/ValidationMUED.jpg ValidationMUED.jpg] 52 52 53 * Validation Table - Gauge (Cross sections given in pb): ValidationGauge.jpg53 * Validation Table - Gauge (Cross sections given in pb): [/attachment/wiki/MUED/ValidationGauge.jpg ValidationGauge.jpg] 54 54 55 55