B2taunu with btracking lines

HLT2 lines for B2tau(23pinu)nu with B-tracking. Added to semileptonic lines, with persistreco=True (going into FULL stream).

Needs Rec!2868 (merged), LHCb!4208 (merged), Detector!462 (merged), lhcb-datapkg/PRConfig!339 (merged)

needs gaudi/Gaudi!1489 (merged) and lhcb-datapkg/PRConfig!339 (merged) to be merged (and for v37?)

FYI: @sklaver, @mmulder

Standard rate test (upgrade_minbias_hlt1_filtered; inclusive is all semileptonic lines):

Line:    Hlt2SLB_BToDPiPi_DToKPiPi_BTrackingDecision                     Incl: 0.0 +/- 0.0 kHz, Excl: 0.0 +/- 0.0 kHz
Line:    Hlt2SLB_BToTauNu_TauToPiPiPiNu_BTrackingDecision                Incl: 0.77087 +/- 0.2912 kHz,  Excl: 0.44049 +/- 0.2202 kHz

NOTE: for Sprucing still to be decided, add in later MR? Following !2360 (merged) at least. Persistreco has similar consideration, in principle there for isolation. The HF track objects do need to be persisted (again). VP raw banks preferably too.

See for more info also slides

Hlt/Hlt2Conf/python/Hlt2Conf/lines/semileptonic/HbToTauNu_BTracking.py

+###############################################################################
+# (c) Copyright 2021-2022 CERN for the benefit of the LHCb Collaboration      #
+#                                                                             #
+# This software is distributed under the terms of the GNU General Public      #
+# Licence version 3 (GPL Version 3), copied verbatim in the file "COPYING".   #
+#                                                                             #
+# In applying this licence, CERN does not waive the privileges and immunities #
+# granted to it by virtue of its status as an Intergovernmental Organization  #
+# or submit itself to any jurisdiction.                                       #
+###############################################################################
+from __future__ import absolute_import
+
+from PyConf import configurable
+import Functors as F
+from Functors.math import in_range
+from GaudiKernel.SystemOfUnits import GeV, MeV, mm
+from Hlt2Conf.algorithms_thor import ParticleFilter, ParticleCombiner, require_all
+
+from RecoConf.reconstruction_objects import make_pvs
+from Hlt2Conf.standard_particles import (make_has_rich_long_pions,
+                                         make_has_rich_long_kaons)
+"""
+SL lines for the B->taunu decays (and control modes) with purpose of using charged 
+B tracking, hence large transverse flight distance requirements and VELO raw banks
+"""
+
+
+@configurable
+def make_candidate_btracking(name="SLB_Pions_BTracking",
+                             make_particles=make_has_rich_long_pions,
+                             make_pvs=make_pvs,
+                             p_min=10 * GeV,
+                             pt_min=1 * GeV,
+                             ip_min=0.1 * mm,
+                             pid=None):
+    """
+    base candidates for btracking
+    note: note extra track quality (based) cuts due to possible B hits in tracks
+    """
+    pvs = make_pvs()
+    code = require_all(F.P > p_min, F.PT > pt_min, F.MINIP(pvs) > ip_min)
+    if pid is not None:
+        code = require_all(code, pid)
+    return ParticleFilter(make_particles(), F.FILTER(code), name=name)
+
+
+@configurable
+def make_x23prong_btracking(name="SLB_ThreeProng_BTracking",
+                            particles=make_has_rich_long_pions,
+                            descriptor="[tau+ -> pi- pi+ pi+]cc",
+                            make_pvs=make_pvs,
+                            comb_doca_max=0.15 * mm,
+                            pt_min=2.0 * GeV,
+                            mipchi2_min=4,
+                            vchi2_max=16,
+                            m_min=400. * MeV,
+                            m_max=3500. * MeV,
+                            fdt_min=4. * mm,
+                            mcorr_min=None,
+                            twobody_m_max=1670 * MeV):
+    """
+    3-prong decay for B tracking purposes, with large transverse flight distance (fdt)
+    and no track quality (based) requirements
+    """
+    pvs = make_pvs()
+
+    # two-body selection
+    twobody_code = require_all(F.MASS < twobody_m_max)
+
+    # three-body selection
+    combination_code = require_all(
+        in_range(m_min - 50 * MeV, F.MASS, m_max + 50 * MeV),
+        F.MAXDOCACUT(comb_doca_max),
+        F.SUBCOMB(Functor=F.MASS < twobody_m_max, Indices=(1, 3)))
+    if mipchi2_min is not None:
+        combination_code = require_all(
+            combination_code, 1 < F.SUM(F.MINIPCHI2(pvs) > mipchi2_min))
+
+    # vertex-based selection
+    vertex_code = require_all(F.PT > pt_min, in_range(m_min, F.MASS, m_max),
+                              F.CHI2 < vchi2_max)
+    if mcorr_min is not None:
+        vertex_code = require_all(vertex_code, F.BPVCORRM(pvs) > mcorr_min)
+    if fdt_min is not None:
+        vertex_code = require_all(vertex_code, F > BPVVDRHO(pvs) > fdt_min)
+
+    return ParticleCombiner(
+        particles,
+        DecayDescriptor=descriptor,
+        Combination12Cut=twobody_code,
+        CombinationCut=combination_code,
+        CompositeCut=vertex_code)
+
+
+def make_twopions(pions,
+                  mother_id="rho(770)0",
+                  m_max=3.5 * GeV,
+                  comb_doca_max=0.15 * mm,
+                  mipchi2_min=4,
+                  vchi2_max=16):
+    """
+    for pions from B+->D-pi+pi+ dalitz decays, these pions form the B vertex
+    """
+    combination_code = require_all(F.MASS < (m_max + 50 * MeV),
+                                   F.MAXDOCACUT(comb_doca_max),
+                                   1 < F.SUM(F.MINIPCHI2(pvs) > mipchi2_min))
+
+    vertex_code = require_all(F.CHI2 < vchi2_max, F.MASS < m_max)
+    return ParticleCombiner([pions, pions],
+                            DecayDescriptor=f"[{mother_id} -> pi+ pi+]cc",
+                            CombinationCut=combination_code,
+                            CompositeCut=vertex_code)
+
+
+def make_b2taunu_tau2pipipi(process):
+    """
+    for candidates of B(c)+ -> tau+ ( -> pi+ pi+ pi- nu_tau ) nu_tau
+    with B tracking
+    """
+    assert process in ['hlt2', 'spruce'
+                       ], 'Line must be defined as Hlt2 or Sprucing line!'
+
+    pions = make_candidate_btracking()
+
+    return make_x23prong_btracking(
+        name="SLB_TauToThreePion_BTracking",
+        particles=[pions, pions, pions],
+        descriptor="[tau+ -> pi- pi+ pi+]cc")
+
+
+def make_b2dpipi_d2kpipi(process,
+                         make_pvs=make_pvs,
+                         vchi2_max=16,
+                         m_min=5.0 * GeV,
+                         m_max=5.7 * GeV):
+    """
+    for candidates for B+ -> D- ( -> K+ pi- pi- ) pi+ pi+ with B tracking (control channel)
+    """
+    assert process in ['hlt2', 'spruce'
+                       ], 'Line must be defined as Hlt2 or Sprucing line!'
+
+    pvs = make_pvs()
+    pions = make_candidate_btracking(name="SLB_Pions_BTracking")
+    kaons = make_candidate_btracking(
+        name="SLB_Kaons_BTracking", particles=make_has_rich_long_kaons)
+
+    # input D-, same selection as tau23pi aside from mass window
+    dps = make_x23prong_btracking(
+        name="SLB_DToKaonTwoPion_BTracking",
+        particles=[kaons, pions, pions],
+        descriptor="[D- -> K+ pi- pi-]cc",
+        m_min=1830 * MeV,
+        m_max=1910 * MeV)
+
+    twopions_id = "rho(770)0"
+    twopions = make_twopions(pions, mother_id=twopions_id)
+
+    # combine to form full B
+    combination_code = require_all(
+        in_range(m_min - 50 * MeV, F.MASS, m_max + 50 * MeV))
+
+    vertex_code = require_all(
+        in_range(m_min, F.MASS, m_max), F.CHI2 < vchi2_max)
+
+    return ParticleCombiner([dps, twopions],
+                            DecayDescriptor=f"[B+ -> D- {twopions_id}]cc",
+                            CombinationCut=combination_code,
+                            CompositeCut=vertex_code)