Mock Data (MDS)

MDC 2024: Mock Data samples

Introduction

Mock data samples can be helpful in two ways:

• to help prepare physics analysis efforts;
• to help us understand the size of our data .art files and ntuples.

Streams

The two purposes above (physics studies, trigger studies) will result in different samples, with differing complexity.

Physics stream

Includes all major components and pile-up. The DIOtail momentum cut can be higher (nominally p>95 MeV/c will be used as a starting point). Three samples will be made: signal at just below current limit (1e-13), closed sample (random signal choice), no signal.

Trigger stream

Here all backgrounds and pile-up will be included but no signal. The DIOtail cut is reduced below the trigger threshold to p > 75 MeV/c.

Inputs

There are several assumptions made when we choose a livetime:

Booster Batch Mode

The Booster Batch (BB) mode describes the incoming operational mode of the booster which feeds the beam through our delivery ring which in turn passes protons to Mu2e.

There are two "run modes" in Mu2e: 1BB and 2BB, in the low-intensity running mode the mean intensity is 1.6E7 protons/pulse and in the higher-intensity mode this becomes 3.9E7 protons/pulse.

Batch	Time (s)	T Cycle (s)	T Spill (s)	Spills	frac	On Spill Time	N-cycles	POT per cycle
1	9.52E+06	1.33	1.07E-01	4	0.323	3.07E+06	7.16E+06	4.00E+12
2	1.58E+06	1.4	4.31E-02	8	0.246	3.89E+05	1.13E+06	8.00E+12

Expected DIOs

The expected number of muon stops per POT is 1.56E-3 muons/POT (from MDC2020p). The decay : capture ratio for Al is 0.39:0.61.

In our simulation, we tend to focus on simulating the higher momentum tail with cuts of p > 75MeV/c sampling a fraction of 4.19E-07 of the entire DIO spectrum. and p > 95 MeV/c sampling a fraction of 3.64E-11 of the entire DIO spectrum.

livetime	BB	POT	Stopped Muons	DIOs (p>75MeV/c)	DIOs (p>95MeV/c)
1 hour	1BB	1.08E16	1.67e+13	7.10e6	609

Production Scripts

To automate parts of the process a number of scripts have been written. These reside in the Produciton repo: Production/ensembles.

There are a number of helper scripts available:

ensemble python scripts

• normalization.py - calculated normalization for each sample based on user assumptions
• maketemplatefcl.py - makes the SamplingInput fcl for the provided data set
• calculateEvents.py - prints number of a specific process events for chosen user inputs

ensemble shell scripts

• Stage1: the S1 script tells you the minimum number of events needed to match a chosen cosmic sample for each input process. The number of jobs for each input process must match the number of chosen cosmic files. You could simulate more than this to allow for failure modes, but only use that number of jobs in the eventual ensembling.

• Stage2: this script combines the input samples, the template fcl and passes these to the grid to run the parrallized ensembling using the standard Mu2e grid tools.

Components

DIO tail

The DIO tails is simulated from stopped muons using the SingleProcessGenerator defined in the Offline EventGenerator directory. The DIOGenerator tool is used to provide the correct momentum distribution based on the 5-8 polynomial derived by Czarnecki et al.

A filter called GenFilter is used to remove events unlikely to produce viable events in the reconstruction. The effect of the filter is to improve the time performance by 40%, there is no loss of efficiency.

Two DIO tail samples are included as primaries in two sets of samples for MDC2024: one has a cut at p > 95 MeV/c (a fraction of 3.64e-11 of the entire DIO momentum spectrum) and another has a lower cut, below the trigger threshold, of p > 75 MeV/c (a fraction of 4.19e-7 of the entire DIO spectrum).

In previous simulation studies, DIOs of all momenta are included in the pile-up stream and not as primaries, including them as primaries has the advantage of giving us a large sample of events and therefore increased realism.

Conversion and Conversion Leading Log

CeEndpoints are a standard part of production. The Leading Log camapign includes the leading log corrections calculated by Szfaron. This results in about 10% of electrons being in a lower momentum tail (as opposed to all being at 104.97 MeV/c in the case of the CeEndpoint).

Cosmics

As part of SU2020 a campaign that used the CORSIKA generator was built and exercised, providing 1.1e7s of cosmic events to be sampled from. Similarily a campaign of a similar size using the CRY generator is also available.

The CRY sample is used for pass 0, but the CORSIKA one is used for the later camapigns.

Pile-up

For pass 0 the existing pile-up streams were used. These were mixed with the combined primary sample as if it were any other primary sample.

This will provide some inaccuracies, as we are mixing in two DIO samples (one as a primary for p > 95 MeV/c and one which is part of the MuStopPileup sample and covers all momentum ranges up to the endpoint). This could introduce some double counting but it is unlikely to overly effect the outcomes of any physics analysis applied to these samples.

For future passes, custom pile-up samples will be combined as primaries in the same way we have done the DIO tails.

RPC

RPC is simulated using the RPCGun generator. Both internal and external RPC can be simulated using the same generator.

At timing filter on arrival proper time of the stopped pions is used to improve performance of the simulation. This must be factored in when normalizing the samples.

DIO 75MeV/c short tests

A set of 1minute samples with a p>75MeV/c cut on the DIO tail were generated to get a feel for the size and time taken to generate this sample.

Tag	Processes	BB	equiv. time	equiv. POT	Rmue	conditions	Comments	sam name
testa	CE+DIO(75MeV/c)	1BB			1e-13	perfect	dts,dig,mcs	ensemble-1BB-CEDIO-60s-p75MeVc
testb	CE+DIO(75MeV/c)+CRY	1BB			1e-13	perfect	dts,dig,mcs	ensemble-1BB-CEDIOCRYCosmic-60s-p75MeVc
testc	CE+DIO(75MeV/c)	2BB			1e-13	perfect	dts,dig,mcs	ensemble-2BB-CEDIO-60s-p75MeVc
testd	CE+DIO(75MeV/c)+CRY	2BB			1e-13	perfect	dts,dig,mcs	ensemble-2BB-CEDIOCRYCosmic-60s-p75MeVc
teste	CE+DIO(75MeV/c)+CRY	1BB			1e-13	perfect	dts only	ensemble-1BB-CEDIOCRYCosmic-3600s-p75MeVc
testf	CE+DIO(75MeV/c)+CRY+PU	1BB			1e-13	perfect	dts only	ensembles-1BB-CEDIOCRYCosmic-60s-p75MeVc-OnSpillMix1BBTriggered

Mock-Dataset-0 (MDS0) (95 MeV/c)

The MDS0 samples all include DIO tail events with the 95 MeV/c cut. Two sample sizes are chosen: 1 week livetime and 1 month livetime.

All components except the RPC are included. Two Rmue values are used, one at 1e-13 which is just below the present upper limit (7e-13) and allows around 55 generated CE events for the 1 week sample and 222 generated CE for the 1 month livetime (before any selection or reconstruction efficiency is factored in).

The samples available are listed below:

Tag	Processes	BB	eqiv POT	equiv livetime	Rmue	conditions	sam name	Comments
MDS0a	CE+DIO(95MeV/c)	1BB	2.50e18	8.30e5 (10days)	1e-13	best,perfect	ensemble-MixBB-CEDIO-1month-p95MeVc-Triggered	simple test
MDS0b	CE+DIO(95MeV/c)+CRY	1BB	2.50e18	8.30e5 (10days)	1e-13	best,perfect	ensemble-1BB-CEDIOCRYCosmic-600000s-p95MeVcTrigger-	simple test including cosmics
MDS0c	CE+DIO(95MeV/c)+CRY	1BB			1e-13	best,perfect	ensemble-1BB-CEDIOCRYCosmic-2400000s-p95MeVc-Trigger-	simple test including more cosmics
MDS0d	CE+DIO(95MeV/c)+CRY+PU	1BB	2.50e18	8.30e5 (10days)	1e-13	perfect	ensemble-1BB-CEDIOCRYCosmic-600000s-p95MeVcMix1BBTriggered	simple test including old pile-up streams
MDS0e	CE+DIO(95MeV/c)+CRY	1BB			1e-13	perfect	dts only: ensemble-1BB-CEDIOCRYCosmic-31000000s-p95MeVc	largest simple sample

The dts, digi, mcs and TrkAna ntuples are available in the usual locations. In most cases the digi and reco stages were ran with perfect and best condtions.

The component samples which went into these streams are listed here:

process	tag	Comments
CeEndpoint	MDC2020ac	100K CEs simulated
DIOtail (95MeV/c)	MDC2020ad	1 month DIO equiv.
DIOtail (75MeV/c)	MDC2020ad_sm0	1 week DIO equiv.
CRY Comsic	MDC2020s	1 year sample, signal stream
pile-up/stops	MDC2020p	most recently made mu beam sample

Mock Dataset 1 (MDS1)

MDS1 will inherit from the MDC2020ae (Cosmics) and MDC2024a_* releases and classified as MDC2024a.

Several updates are made for MDS 1:

• CeEndpoint now including the leading log too;
• DIO tail momentum cut moved to 75 MeV/c for triggered stream only;
• CORSIKA generator used for cosmics;
• PU streams upgraded (might move to pass2).

process	tag	events
CeMLeadingLog	MDC2024a_sm4	800K
DIOtail (95MeV/c)	MDC2024a_sm4	1 year
DIOtail (75MeV/c)	MDC2024a_sm3	1 week
CORSIKA	MDC2020ae
pile-up/stops	MDC2020p	-

Mock Dataset 2 (MDS2)

Here we add in the RPC/RMC streams and also provide positron samples ... TBC