Residue theorem and summing over Kaluza-Klein excitations

Journal Article · Tue Nov 01 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.096012· OSTI ID:21608086

Taifu, Feng ^[1]; Jianbin, Chen; Tiejun, Gao; Kesheng, Sun ^[1]

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1. Department of Physics, Dalian University of Technology, Dalian, 116024 (China)

Applying the equations of motion together with corresponding boundary conditions of bulk profiles at infrared and ultraviolet branes, we verify some lemmas on the eigenvalues of Kaluza-Klein modes in extension of the standard model with a warped extra dimension and the custodial symmetry SU(3){sub c}xSU(2){sub L}xSU(2){sub R}xU(1){sub X}xP{sub LR}. Using the lemmas and performing properly analytic extensions of bulk profiles, we present the sufficient condition for a convergent series of Kaluza-Klein excitations and sum over the series through the residue theorem. The method can also be applied to sum over the infinite series of Kaluza-Klein excitations in a universal extra dimension. Furthermore, we analyze the possible connection between the propagators in five-dimensional full theory and the product of bulk profiles with corresponding propagators of exciting Kaluza-Klein modes in four-dimensional effective theory, and recover some relations presented in the literature for warped and universal extra dimensions, respectively. As an example, we present the correction from new physics to the branching ratio of B{yields}X{sub s{gamma}} to the order O({mu}{sub EW}{sup 2}/{Lambda}{sub KK}{sup 2}) in extension of the standard model with a warped extra dimension and the custodial symmetry, where {Lambda}{sub KK} denotes the energy scale of low-lying Kaluza-Klein excitations and {mu}{sub EW} denotes the electroweak energy scale.

• OSTI ID: 21608086
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 84; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B MESONS
BEAUTY MESONS
BEAUTY PARTICLES
BOSONS
BOUNDARY CONDITIONS
BRANCHING RATIO
BRANES
CORRECTIONS
DECAY
DIFFERENTIAL EQUATIONS
DIMENSIONLESS NUMBERS
EIGENVALUES
ELEMENTARY PARTICLES
ENERGY-LEVEL TRANSITIONS
EQUATIONS
EQUATIONS OF MOTION
EXCITATION
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GRAND UNIFIED THEORY
HADRONS
KALUZA-KLEIN THEORY
LIE GROUPS
MATHEMATICAL MODELS
MESONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE DECAY
PARTICLE MODELS
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
STANDARD MODEL
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
WEINBERG-SALAM GAUGE MODEL