Abstract
Kinematic edges in cascade decays provide a probe of the masses of new particles. In some new physics scenarios the decay chain involves intermediate particles of different flavors that can mix and oscillate. We discuss the implication of such oscillation, and in particular its interplay with the non-zero widths of the particles. We derive explicit formulae for differential decay rates involving both non-zero widths and oscillation, and show that in the case where the mass difference between the intermediate particle is of the order of their widths, both oscillation and width effects are important. An examination of the physical observables contained in these differential decay rates is provided. We calculate differential decay rates for cases in which the intermediate particles are either scalars or fermions.
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B. Allanach, C. Lester, M.A. Parker and B. Webber, Measuring sparticle masses in nonuniversal string inspired models at the LHC, JHEP 09 (2000) 004 [hep-ph/0007009] [ inSPIRE].
I. Hinchliffe, F. Paige, M. Shapiro, J. Soderqvist and W. Yao, Precision SUSY measurements at CERN LHC, Phys. Rev. D 55 (1997) 5520 [hep-ph/9610544] [ inSPIRE].
P. Meade and M. Reece, Top partners at the LHC: spin and mass measurement, Phys. Rev. D 74 (2006) 015010 [hep-ph/0601124] [ inSPIRE].
B. Gjelsten,. Miller, D.J., P. Osland and A. Raklev, Mass determination in cascade decays using shape formulas, AIP Conf. Proc. 903 (2007) 257 [hep-ph/0611259] [ inSPIRE].
M. Burns, K.T. Matchev and M. Park, Using kinematic boundary lines for particle mass measurements and disambiguation in SUSY-like events with missing energy, JHEP 05 (2009) 094 [arXiv:0903.4371] [inSPIRE].
C. Lester, M.A. Parker and M.J. White, Three body kinematic endpoints in SUSY models with non-universal Higgs masses, JHEP 10 (2007) 051 [hep-ph/0609298] [ inSPIRE].
LHC/LC Study Group collaboration, G. Weiglein et al., Physics interplay of the LHC and the ILC, Phys. Rept. 426 (2006) 47 [hep-ph/0410364] [ inSPIRE].
A.J. Barr and C.G. Lester, A review of the mass measurement techniques proposed for the Large Hadron Collider, J. Phys. G 37 (2010) 123001 [arXiv:1004.2732] [ inSPIRE].
B. Gjelsten,. Miller, D.J. and P. Osland, Measurement of SUSY masses via cascade decays for SPS 1a, JHEP 12 (2004) 003 [hep-ph/0410303] [ inSPIRE].
B. Gjelsten,. Miller, D.J.and P. Osland, Measurement of the gluino mass via cascade decays for SPS 1a, JHEP 06 (2005) 015 [hep-ph/0501033] [ inSPIRE].
B. Gjelsten,. Miller, D.J., P. Osland and A. Raklev, Mass determination in cascade decays using shape formulas, AIP Conf. Proc. 903 (2007) 257 [hep-ph/0611259] [ inSPIRE].
C.G. Lester, M.A. Parker and M.J. White, Determining SUSY model parameters and masses at the LHC using cross-sections, kinematic edges and other observables, JHEP 01 (2006) 080 [hep-ph/0508143] [ inSPIRE].
F.E. Paige, Determining SUSY particle masses at LHC, hep-ph/9609373 [in SPIRE].
D.J. Miller, P. Osland and A. Raklev, Invariant mass distributions in cascade decays, JHEP 03 (2006) 034 [hep-ph/0510356] [ inSPIRE].
N. Arkani-Hamed, H.-C. Cheng, J.L. Feng and L.J. Hall, Probing lepton flavor violation at future colliders, Phys. Rev. Lett. 77 (1996) 1937 [hep-ph/9603431] [ inSPIRE].
N. Arkani-Hamed, J.L. Feng, L.J. Hall and H.-C. Cheng, CP violation from slepton oscillations at the LHC and NLC, Nucl. Phys. B 505 (1997) 3 [hep-ph/9704205] [ inSPIRE].
J. Hisano, R. Kitano and M.M. Nojiri, Slepton oscillation at Large Hadron Collider, Phys. Rev. D 65 (2002) 116002 [hep-ph/0202129] [ inSPIRE].
J.L. Feng, C.G. Lester,Y. Nir and Y. Shadmi, The standard model and supersymmetric flavor puzzles at the Large Hadron Collider, Phys. Rev. D 77 (2008) 076002 [arXiv:0712.0674] [ inSPIRE].
G. Hiller, Y. Hochberg and Y. Nir, Flavor changing processes in supersymmetric models with hybrid gauge-and gravity-mediation, JHEP 03 (2009) 115 [arXiv:0812.0511] [ inSPIRE].
K. Agashe and M. Graesser, Signals of supersymmetric lepton flavor violation at the CERN LHC, Phys. Rev. D 61 (2000) 075008 [hep-ph/9904422] [ inSPIRE].
I. Hinchliffe and F. Paige, Lepton flavor violation at the CERN LHC, Phys. Rev. D 63 (2001) 115006 [hep-ph/0010086] [ inSPIRE].
R. Kitano, A clean slepton mixing signal at the LHC, JHEP 03 (2008) 023 [arXiv:0801.3486] [ inSPIRE].
J.L. Feng, S.T. French, C.G. Lester, Y. Nirand Y. Shadmi, The shifted peak: resolving nearly degenerate particles at the LHC, Phys. Rev. D 80 (2009) 114004 [arXiv:0906.4215] [ inSPIRE].
J.L. Fenget al., Measuring slepton masses and mixings at the LHC, JHEP 01 (2010) 047 [arXiv:0910.1618] [ inSPIRE].
I. Galon and Y. Shadmi, Kinematic edges with flavor splitting and mixing, arXiv:1108.2220 [in SPIRE].
L.-T. Wang and I. Yavin, A review of spin determination at the LHC, Int. J. Mod. Phys. A 23 (2008) 4647 [arXiv:0802.2726] [ inSPIRE].
A.M. Badalyan, L.P. Kok, M.I. Polikarpov and A.Yu. Simonov, Resonances in coupled channels in nuclear and particle physics, Phys. Rept. 82 (1982) 31.
S.U. Chung et al., Partial wave analysis in K -matrix formalism, Annalen der Physik 507 (1995) 404.
M.E. Peskin and D.V. Schroeder, An introduction to quantum field theory, Addison-Wesley Publishing Company, USA (1996).
S. Weinberg, The quantum theory of fields. Volume I, Cambridge University Press, Cambridge U.K. (1996).
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ArXiv ePrint: 1108.5381
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Grossman, Y., Martone, M. & Robinson, D.J. Kinematic edges with flavor oscillation and non-zero widths. J. High Energ. Phys. 2011, 127 (2011). https://doi.org/10.1007/JHEP10(2011)127
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DOI: https://doi.org/10.1007/JHEP10(2011)127