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Monte Carlo Samples

ドキュメント内 s = 13 TeV with the ATLAS detector (ページ 54-57)

Chapter 4

54 CHAPTER 4. MONTE CARLO SAMPLES q<latexit sha1_base64="Ag6XMyr58orstnV08RCdBEZe1ag=">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</latexit><latexit sha1_base64="Ag6XMyr58orstnV08RCdBEZe1ag=">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</latexit><latexit sha1_base64="Ag6XMyr58orstnV08RCdBEZe1ag=">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</latexit><latexit sha1_base64="Ag6XMyr58orstnV08RCdBEZe1ag=">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</latexit>

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µ

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µ

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µ

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e

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e

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Figure 4.1: The Feynman diagrams for the simulated samples.

The coupling strength between the W and Z bosons of the weak interaction and an HNL is noted to be |U|2 = Σl|UlN|2 (for l =e, µ, τ), where the terms UlN are the matrix elements for N mixing with the different neutrino flavors. The signature considered in this search, which will be described in Chapter 6, is only sensitive to the mixing with νµ and can thus constrain only|UµN|2, or |U|2 in the case where |UµN| is dominant. The branching ratio for W decays to an HNL and a charged lepton l is directly proportional to the coupling strength |U|2 and can be expressed as

BR(W →N +l) = BR(W →ν+l)· |U|2 (

1 m2N m2W

)2(

1 + m2N 2m2W

)

. (4.2)

Its dependence on the HNL massmN is not significant for mN <30 GeV (well below the W mass mW).

The HNL lifetimeτN has a strong dependence on both the coupling strength|U|2 and the mass mN and can be expressed as the following parameterization, which is accurate at the 12% level in the mass range 550 GeV (in s, considering N mixing with νµ and with mN in GeV):

τN = 4.49·1012|U|2mN5.19. (4.3) This relationship, however, assumes no lepton-number violating (LNV) decays. If LNV is allowed, for instance, in the case of a single Majorana neutrino, twice as many decay channels are opened, and the lifetime is reduced by a factor of 2.

The above relationships, together with estimates of efficiency with which ATLAS can recon-struct displaced vertices and reject related backgrounds, provide guidelines about the range of parameter space to which the search is sensitive. It corresponds to HNL masses around 10 GeV at the beginning of Run-2 (this analysis) and possibly up to 30 GeV at the end of Run-2.

Accordingly, different HNL masses mN are chosen for the simulations in the range where we expect sensitivity: 3, 5, 7.5, 10, 12.5, 15, 20, and 30 GeV. For each of these masses, a range of mean lifetimes τ corresponding to mean decay lengths of 0.1, 1, 10, and 100 mm is generated.

4.2 Detector Simulation

The interaction between the particles generated by event generation and the detector material, and the detector responses of them are simulated by a full ATLAS detector simulation model

ドキュメント内 s = 13 TeV with the ATLAS detector (ページ 54-57)

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