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Higgs Pair Production at the LHC - Desy

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Drell-Yan like process<br />

σ S1S2 V<br />

(s) =<br />

NLO<br />

1<br />

Z<br />

1<br />

Z<br />

1<br />

Z<br />

Introduction<br />

Calcul<strong>at</strong>ions<br />

Numerical results<br />

Conclusion<br />

Ô<br />

Ô<br />

Ü<br />

Ü<br />

Î<br />

<strong>at</strong> Leading Order<br />

<strong>at</strong> Next-to-Leading Order QCD<br />

Ë Ë<br />

Î<br />

dx1 dx2 dx ˆσ<br />

0 0 0<br />

S1S2 V<br />

(q<br />

Born<br />

2 )<br />

(<br />

X<br />

×<br />

q,q ′<br />

(f¯q (x1 , µ 2 F )f q ′ (x2 , µ2F ) + f¯q (x2 , µ2F )f q ′ (x1 , µ2F ))<br />

2<br />

4∆ (0)<br />

¯qq (x) + ∆1 0<br />

αs<br />

¯qq (x) − ln @<br />

π<br />

µ2 F<br />

q2 1<br />

3<br />

A [Pqq(x)] +<br />

5<br />

+ X<br />

[fg(x1 , µ<br />

q<br />

2 F )(fq(x2 , µ2F ) + f¯q (x2 , µ2F )) + x1 ↔ x2 ]<br />

2<br />

4∆qg(x) − αs<br />

0<br />

ln @<br />

2 π<br />

µ2 F<br />

q2 1 3)<br />

A Pgq(x) 5<br />

Hamberg, van Neerven, M<strong>at</strong>suura ’91<br />

Marina Billoni <strong>Higgs</strong> <strong>Pair</strong> <strong>Production</strong> <strong>at</strong> <strong>the</strong> <strong>LHC</strong><br />

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