11/28/20151 qcd resummation in higgs boson plus jet production feng yuan lawrence berkeley national...
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QCD resummation in Higgs Boson Plus Jet Production
Feng Yuan Lawrence Berkeley National Laboratory
Ref: Peng Sun, C.-P. Yuan, Feng Yuan, PRL 113, 232001 (2014);
PRL114, 202001 (2015); arXv: 1506.06170.
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Outlines
Dijet correlation from Tevatron and LHC Soft gluon resummation
Collins-Soper-Sterman Higgs boson plus Jet production
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Dijet production at the hadron colliders
Most abundant events Almost back-to-back De-correlation comes
Hard gluon jetSoft gluon radiation
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Beautiful data from Tevatron/LHC
04/21/23 4CMS, PRL11D0, PRL05
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ATLAS, PRL11
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QCD calculations Fixed order calculations
divergent around π, where soft gluon radiation dominate
All order resummation is needed to understand the physics around here Two separate scales PT>>qT
04/21/23 6D0, PRL05
Leading PT
Total qT≈PTSin(Δϕ)
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Sudakov Large Double Logarithms Differential cross section depends on Q1, where
Q2>>Q12>>2
QCD
We have to resum these large logs to make reliable predictions QT: Dokshitzer, Diakonov, Troian, 78; Parisi Petronzio,
79; Collins, Soper, Sterman, 85 Threshold: Sterman 87; Catani and Trentadue 89
Sudakov, 1956
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How Large of the Resummation effects
ResumResum
NLONLOKulesza, Sterman, Vogelsang, 02
Z/γ*
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Collins-Soper-Sterman Resummation (PT,Q)=H(Q) f1(k1T,Q) f2(k2T, Q) S(T) Large Logs are resummed by solving
the energy evolution equation of the TMDs
K and G obey the renormalization group eq.
(Collins-Soper 81, Collins-Soper-Sterman 85)
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CSS Formalism (Drell-Yan)
The large logs will be resummed into the exponential form factor
A,B,C functions are perturbative calculable A: Sudakov double logs B: anomalous dimension C: hard coefficients
f1,f2 are integrated PDFs(Collins-Soper-Sterman 85)
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Dijet production is different
Final states carry colorSoft gluon radiation will contribute
Jet algorithm will enter into the calculations as wellOnly out of cone radiation contributes to the
imbalance between the two jets
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Dijet (Leading Double Logs-A)
Power counting: each incoming parton contributes to a half of the associated color factor
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Banfi-Dasgupta-Delenda, PLB 2008Mueller-Xiao-Yuan, PRD 2013
A(1)=(Cp1+Cp2)/2
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Next-to-leading Logs (NLL) Jet size-dependence (Banfi-Dasgupta 2004)
Matrix form (Kidonakis-Sterman 1997)
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Sun,C.-P. Yuan, F. Yuan, PRL 2014
D: color-factor for the jetR: jet size
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One-loop: Soft and collinear gluon
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VirtualEllis-Sexton 86
Jet (Narrow Jet Approx.)Jager-Stratmann-Vogelsang 2004
SoftInitial state
SoftFinal state (out of jet cone)
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Cross checks Divergences cancelled out between
virtual, jet, sot contributions (dimension regulation applied)
Final results :double logs, single logs, ..
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Quark channel: qiqjqiqj
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Compared to full calculations
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Leading PT
Total qT≈PTSin(Δϕ)
full LO: Nagy 2002, NLOJET++ D0 kinematics
Sun, Yuan, FY,PRL 113, 232001 (2014)
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Compared to the data
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D0 data
Full NLO: Nagy 2002, NLOJET++
NLL Resummation:Sun,C.P.Yuan, F.Yuan, PRL2014
Sun, Yuan, FY;PRL 113, 232001 (2014)
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At the LHC
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Sun, Yuan, FY, 1506.06170.
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Higgs Boson plus Jet Production
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Higgs Boson plus Jet Production One of the major channels to study Higgs
boson coupling to SM particles Already data from LHC In particular, Higgs boson plus two jets
with large rapidity separation to study HWW coupling
As compared to dijet, it is much simpler, and a complete one-loop calculation possible
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Jet and soft gluon radiation
Virtual graphs been calculated before
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One-loop results
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Resummation
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Importance of the resummation
qT: total transverse momentum of the Higgs boson and the jet
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Sun, Yuan, FY,PRL114, 202001 (2015)
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Azimuthal angular correlation
Φ: azimuthal angle between the Higgs boson and the jet
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Sun, Yuan, FY,PRL114, 202001 (2015)
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Further applications Higgs boson PT distribution in associated
with jet production
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Boughezal et al,1504.07922,1505.03893
Resummation willbe important in thePcut regionWork in progress
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Higgs boson plus two jets
Vector boson fusion and gluon-gluon fusion
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Competing mechanism
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Campbell et al,hep-ph/0608194
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QCD resummation
It’s a tough calculation However, in the most interesting channel,
two jets are produced forward-backward (+y,-y), we can simplify the derivation
No color-matrix needed, although there are two jets in the final stateSimilar to the Mueller-Navelet dijet
Mueller-Xiao-Yuan, working in progress
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Similar to W/Z and inclusive Higgs production (Collins-Soper-Sterman)
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We are working on numerics,…
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Summary Soft gluon resummation for jet production
and jet plus weak boson production can be performed, and these effects are important
Improvements can be made to extend the narrow jet approximation and study jet size dependence carefully
Extend to W/Z and jet production, many data to test the formalism
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TMD factorization and resummation
TMD evolution
Soft factor
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Final results at NLL
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Factorization breaking effects
In collinear calculations, it appears at αs3 corrections, will
affect A(3) coefficient
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Collins-Qiu 07
Factorizable,A(1)
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Non-perturbative form factor
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W(b) for gluon-gluon channelfor typical LHC kinematics withtwo different non-perturbative inputs