Flavour anomalies at the LHC M. Nardecchia INFN & Sapienza University of Rome 30 May 2019, ICTP , Trieste
Flavour Anomalies b → sµµ b → c τν (LHCb from 2013) Babar+Belle+LHCb from 2012 1) Angular observables in B → K ∗ µ + µ − ∼ 4 σ (?!) 2) Branching ratios & 3 . 5 σ (?!) D* 3 ) LFU violation in R K 2 . 6 σ 4 ) LFU violation in (2 bins) R K ∗ 2 . 3 σ , 2 . 6 σ *#¥#¥ . “clean” only ≈ 4 σ k k VL % *#¥#¥ . m *#¥#¥ . CL * * *#¥#¥ . k k k k VL % m VL % s s *#¥#* m CL * * CL k * * k VL % B 0 m φ ¯ CL SM * t * s ¯ s ¯ b *#¥#* *#¥#* *#¥#* W ML µ − SM Z 0 , γ [ µ + A ,q=31TeV ML deff =¥gn5L8nb←ti<8nM< he ML ML + [ . [ [ A ,q=31TeV deff =¥gn5L8nb←ti<8nM< - tap he A ,q=31TeV A ,q=31TeV .Emb< deff kink + .4*eN deff =¥gn5L8nb←ti<8nM< he AR , ,=2 he + deff =¥gn5L8nb←ti<8nM< he = . + 2 . + . . - tap | C NP | � | C NP µ | , | C NP | C NP µ | � | C NP Λ R K = 31 TeV | | - tap Poi .Emb< (1) kink + old .4*eN deff he 1706.07808 AR EQ Λ R D = 3 . 4 TeV , ,=2 .Emb< .4*eN deff kink + AR he , ,=2 - tap = e τ e = . . .Emb< kink + .4*eN deff he AR . , ,=2 = . b- stuz 3 233 → • > > Hint * 2. ' Had ' 2,2 Poi (1) Poi old (1) 1706.07808 old EQ 1706.07808 EQ bro smtui 3 . . - Poi (1) old EQ 1706.07808 . b- b- stuz 3 stuz 3 233 233 → → • • > > Hint > > Hint * 2. ' Had * 2. ' Had ' ' b- 2,2 2,2 stuz 3 233 → • > > Hint bro * 2. ' Had smtui bro ' smtui 3 3 - - 2,2 bro smtui 3 -
→ Γ Bottom-up path Γ Γ 10 Theoretical input / bias j q G’ b τ − j Address more questions/open ¯ τ + b q “Motivated” problems: naturalness, origin of Models flavour, renormalizability/accidental More phenomenology to come symmetries..… Q L L L Q L L L W'(Z') Simplified Introducing explicitly New Physics, LQ Models in the simplest way as possible Q L L L Q L L L *#¥#¥ . *#¥#¥ . k k VL % m k k CL * VL % * m CL * * *#¥#* New Physics in a model *#¥#* EFT independent way ML ML [ [ Λ R K = 31 TeV Λ R D = 3 . 4 TeV A ,q=31TeV A ,q=31TeV deff =¥gn5L8nb←ti<8nM< he deff =¥gn5L8nb←ti<8nM< Experimental input he + + . . - tap .Emb< kink + .4*eN deff - tap AR he , ,=2 .Emb< = kink + .4*eN deff AR he , ,=2 . = . Poi (1) old EQ 1706.07808 Poi (1) . old EQ 1706.07808 . b- stuz 3 233 → • > > Hint * 2. ' Had b- ' stuz 3 233 → • 2,2 > > Hint * 2. ' Had ' bro smtui 2,2 3 - bro smtui 3 -
• What is the scale of New Physics? Model dependent part Λ 2 = C 1 C= (loops) x (couplings) x (flavour) Λ R D ( ∗ ) = 3 . 4 ± 0 . 4 TeV , Λ R K ( ∗ ) = 31 ± 4 TeV , M 2 “Measured” Fermi constant On-shell effects @ colliders
• What is the scale of New Physics? Model dependent part Λ 2 = C 1 C= (loops) x (couplings) x (flavour) Λ R D ( ∗ ) = 3 . 4 ± 0 . 4 TeV , Λ R K ( ∗ ) = 31 ± 4 TeV , M 2 “Measured” Fermi constant On-shell effects @ colliders • What do we expect? (Worst case scenario) *#¥#¥ . [Di Luzio, MN, 1706.01868] k k VL % m A ( ψψ → ψψ ) ∝ s CL * ( √ s max ≡ Λ U = 9 TeV * b → c τν *#¥#* √ s max ≡ Λ U = 80 TeV Tree-Level Pertubative b → sµµ Unitarity criterium |A J =0 | < 1 / 2 ML An old lesson: VV scattering… [ Λ U = 2 TeV , m h = 125 GeV A ,q=31TeV deff =¥gn5L8nb←ti<8nM< he + . - tap .Emb< .4*eN deff kink + AR he , ,=2 = . Poi (1) old EQ 1706.07808 . b- stuz 3 233 → • > > Hint * 2. ' Had ' 2,2 bro smtui 3 -
• What is the scale of New Physics? Model dependent part Λ 2 = C 1 C= (loops) x (couplings) x (flavour) Λ R D ( ∗ ) = 3 . 4 ± 0 . 4 TeV , Λ R K ( ∗ ) = 31 ± 4 TeV , M 2 “Measured” Fermi constant On-shell effects @ colliders • What do we expect? (Worst case scenario) *#¥#¥ . [Di Luzio, MN, 1706.01868] k k VL % m A ( ψψ → ψψ ) ∝ s CL * ( √ s max ≡ Λ U = 9 TeV * b → c τν • ; *#¥#* York ← √ s max ≡ Λ U = 80 TeV Tree-Level Pertubative red renren.tt/ b → sµµ Unitarity criterium |A J =0 | < 1 / 2 ML An old lesson: VV scattering… ¥ [ Λ U = 2 TeV , m h = 125 GeV • What do we expect? (Warning: a simplified cartoon!) A ,q=31TeV p deff =¥gn5L8nb←ti<8nM< t÷¥⇒H±¥± he M + ^ a . now b → sµµ b → c τν - tap .Emb< .4*eN deff kink + AR he , ,=2 = 4inEIboEdo@Hnbttidneene.e . • ; Absence of New Physics York ← red at high energy renren.tt/ Poi (1) old EQ 1706.07808 M now & 1 TeV . . ¥ b- stuz 3 233 → • > > Hint * 2. ' Had ' 2,2 p t÷¥⇒H±¥± bro smtui M ^ a 3 - now A NOW µ 4inEIboEdo@Hnbttidneene.e . A NOW µ
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