TESTING A SPIN-2 MEDIATOR IN DECAYS
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1 TESTING A SPIN- MEDIATOR IN b s DECAYS BAZENA MEIC Thortical Physics Division Rudjr Boskovic Institut, Zagrb arxiv in collaboration with Svjtlana Fajfr & Monalisa Patra (IJS, jubljana Windows on th Univrs, ICISE, Quy Nhon, Vitnam, August 5-11, 018
2 SPIN- PARTICE SPIN- PARTICE as a low-nrgy signatur indpndnt on th UV compltition - possibl xistanc in lattic QCD as spin- long-livd gluballs - in modifid gravity in thoris with larg dimnsions, wrappd or xtra dimnsions w will considr non-univrsal couplings with th mattr (.g. RS-typ modls with th SM fild localizd diffrntly in th bulk study of implications of such a massiv (complx spin- boson on anomalis in dcays assuming that in th lpton sctor spin- particl coupls only to muons
3 FRAMEWOR (I agrangian of a spin- fild (Firz-Pauli linarizd trm: 1 1 ( (.. PF G M G G M G G G G G h c agrangian of a spin- fild intracting with th mattr: i 5 a ij i P j b ij i i P j G ( R 4 a b, R, R ij ij 4 G ij i j h.. c 1 cij ii j G ( R 5 produc scalar/psudoscalar oprators which contributions ar highly supprssd in b s dcays
4 FRAMEWOR (II Fynman ruls: Fynman rul spin- boson intraction with frmions: 1 ( X X 4 X a ( k k P a ( k k P R ij 1 ij 1 R Fynman rul spin- boson propagator: i q q qq q q q q q q q q [ ], ( q q mg mg mg mg mg 3 mg mg P for q << m G : q q 1 4 q mg mg 1 q / mg mg mg mg Choi, Shim, Song, hp-th/ Guidic, Rattazzi, Wlls, hp-ph/ Han, ykkn, Zhang, hp-ph/ G instin t al, hp-ph/
5 EFFECTIVE AGRANGIAN FOR b s TRANSITIONS ff 4GF V V ( C ( ( C ( ( C h.c * h. d. h. d. tb ts i i i i j j i j; h. d. m ( s P b F m ( s P b F g 7 b R 7 b g dim=6 SM oprators dim=6 BSM oprators ( sp b( ( sp b( P R 5 P 5 ( s P b( ( s PRb ( ( sp b( ( sp b( S R S ( ( ( ( s Pb 5 10 s P Rb 5 ( ( ( ( T s P b T 5 s P b 5 spin- mdiator will gnrat nw dim=8 oprators
6 SPIN- MEDIATOR IN b s TRANSITIONS (I Building ffctiv lagrangian from th following transition amplitud: nw & R oprators of dim = 8! rducing th numbr of oprators: i quations of motion ii Firz rarrangmnts iii global fit analysis indicats that B-physics anomalis ar xplaind by NP physics for C, i.. th nw intractions should 9 C10 b of V-A typ: a, a 0 C C R R (8 (8 sb i i 5 w ar lft only with th -oprators:
7 SPIN- MEDIATOR IN b s TRANSITIONS (II rducabl dim=8 oprators : ( sp b ( 16 ( sp ( b 16 ( q,8 S m mq R ( q,8 S m m q ( q b C (8 4 S G sb (8 CS 0 C a a 3 ( (8 4 R S G sb C C a a a 3 4 ( (8 R R C S CG a sb a a 3 ral dim=8 oprators : C G 16 v 1 1 V V 16 m * tb ts G (8 ( s i P b( i C C a a (8 G sb (8 5 s i P b i 5 ( ( (8 s i P b i P ( ( C C (8 5 CG asba C a a (8 G sb
8 CONSTRAINTS ON SPIN- COUPING WITH QUARS B a MIXING s B s M ( M ( M ( M ( M s s SM s m s m s m b 1 b b 3 Combind bound from B s B s and th top dcay width: (8 6 ( s i Pb ( s i Pb (8 mb ( s br ( s br (8 3 mb ( s br ( s br dim=8 contrib. m 1 m ( s b ( s b b b mb b s (oprators ~ and m m ar nglctd a sb GV mg 1 4 b TOP DECAY WIDTH SU a sb a tc t cg 4 7 NP asb mt mg mg t mg mt mt for mg > 150 GV strong constraints from HC
9 CONSTRAINT ON SPIN= COPING WITH MUONS MUON ANOMAOUS MAGNETIC MOMENT a Bound of from ( g : much wakr or no constraints from: Z 4 pp 1 at 13TV with 36.1fb
10 EFFECTS OF SPIN- PARTICE IN B (I d 3 4 a ( q b ( q cos c ( q cos d ( q cos ( q cos dq d cos SM + NP NP ffcts SM + NP NP ffcts a ( q ~ F, F, F, F F, F NP V A P A P S c q F C f (8 ( ~ F,, NP, F NP, F NP.... (, NP V A FV A P ffs b q F F F F NP NP (8 ( ~ V V, FA A... C ( f, f V, ffa d q F C f NP NP (8 ( ~ FV FV, A FA... ( FV, ffa ( q ~ F, F,( C f NP NP (8 V A m F ( q C f ( q C f ( q V b 9 7 T mb m F ( ( A q C f q 10 mb m FP ( q m C10 f( q f0( q f( q q F q q C f q NP (8 V ( ( ( NP (8 FA ( q ( q C5 f( q NP mb m (8 (8 FS ( q m CS CS f0( q NP (8 mb m FP ( q m ( q C5 f( q f0( q f( q q
11 EFFECTS OF SPIN- PARTICE IN B d 3 4 a ( q b ( q cos c ( q cos d ( q cos ( q cos dq d cos SM + NP NP ffcts SM + NP (II NP ffcts c q q dq a ( q 3 5 ( ( d 1 d ( q AFB dq ( d cos dq b ( q 0 1 dq d cos SM valu = 0! SM valu
12 EFFECTS OF SPIN- PARTICE IN B ( (I 4 d cos cos 3 dq d d * d 9 ( Iq,,, * I( q,,, I sin I cos ( I sin I cos cos I sin sin cos s c s c * 1 * 1 * * * 3 * I sin sin cos I sin sin cos 4 * 5 * s c ( I sin I cos cos I sin sin sin * * * I I C ( C, C cos I I cos SM (8 (8 SM int i i 7,9,10, 5 i i NEW ASYMMETRIES APPEAR!
13 EFFECTS OF SPIN- PARTICE IN B ( (II * 1 d AFB dq d d ( d * 0 cos cos 1 0 s( SM c( int c( int s( int I I I I 1 dq d cos d cos * d * A FB, SM
14 EFFECTS OF SPIN- PARTICE IN B ( (III * 1 cos cos / 3 / ( ( *( A dq d d d / / I SM I int ( ( 4 5 tot * 1 / 3 / A dq d d cos d cos 3 ( ( * 3 I 5 I 4 8 / / ( SM ( int tot
15 CONCUSIONS w considrd spin- mdiator in transitions w considrd flavor non-univrsal couplings to lft-handd b and s quarks, and spin- particl couplings to muons only B-B mixing, top-quark dcay and (g- μ form factor provid constraints to th couplings spin- mdiation incrass insignificantly BR( B and BR( B ( this simpl modl cannot xplain obsrvd R and R * anomalis spin- mdiator can crat forward-backward asymmtris ~10-0% for rathr small m G = 0 40 GV - this is spcially intrsting for B dcay whr A FB ( B SM = 0
16 THAN YOU!
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